tag:blogger.com,1999:blog-32913174721125822932024-03-14T13:28:04.210+07:00BLOG FISIKA SMADDABlog Pembelajaran Fisika SMAN 22 SurabayaFisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.comBlogger26125tag:blogger.com,1999:blog-3291317472112582293.post-26305596433842074012012-02-02T12:05:00.000+07:002012-02-02T12:05:50.313+07:00Titik Berat Benda<h2>Keseimbangan Benda Tegar : Titik Berat</h2><div class="MsoNormal" style="line-height: 150%; text-align: justify;">Telah dikatakan sebelumnya bahwa suatu benda tegar dapat mengalami gerak translasi (gerak lurus) dan gerak rotasi. Benda tegar akan melakukan gerak translasi apabila gaya yang diberikan pada benda tepat mengenai suatu titik yang yang disebut <strong>titik berat</strong>.</div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"> </div><div class="wp-caption aligncenter" id="attachment_36" style="width: 362px;"><a href="http://aktifisika.files.wordpress.com/2008/11/bird.jpg"><img alt="Benda akan seimbang jika pas diletakkan di titik beratnya" class="size-full wp-image-36" src="http://aktifisika.files.wordpress.com/2008/11/bird.jpg?w=450" title="bird" /></a><div class="wp-caption-text">Benda akan seimbang jika pas diletakkan di titik beratnya</div></div>Titik berat merupakan titik dimana benda akan berada dalam keseimbangan rotasi (tidak mengalami rotasi). Pada saat benda tegar mengalami gerak translasi dan rotasi sekaligus, maka pada saat itu titik berat akan bertindak sebagai sumbu rotasi dan lintasan gerak dari titik berat ini menggambarkan lintasan gerak translasinya.<br />
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">Mari kita tinjau suatu benda tegar, misalnya tongkat pemukul kasti, kemudian kita lempar sambil sedikit berputar. Kalau kita perhatikan secara aeksama, gerakan tongkat pemukul tadi dapat kita gambarkan seperti membentuk suatu lintasan dari gerak translasi yang sedang dijalani dimana pada kasus ini lintasannya berbentuk parabola. Tongkat ini memang berputar pada porosnya, yaitu tepat di titik beratnya. Dan, secara keseluruhan benda bergerak dalam lintasan parabola. Lintasan ini merupakan lintasan dari posisi titik berat benda tersebut.</div><div class="MsoNormal" style="line-height: 150%; text-align: justify;">Demikian halnya seorang peloncat indah yang sedang terjun ke kolam renang. Dia melakukan gerak berputar saat terjun. sebagaimana tongkat pada contoh di atas, peloncat indah itu juga menjalani gerak parabola yang bisa dilihat dari lintasan titik beratnya. Perhatikan gambar berikut ini.</div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"> </div><div class="wp-caption aligncenter" id="attachment_38" style="width: 398px;"><a href="http://aktifisika.files.wordpress.com/2008/11/diver.gif"><img alt="seorang yang meloncat ke air dengan berputar" class="size-full wp-image-38" src="http://aktifisika.files.wordpress.com/2008/11/diver.gif?w=450" title="diver" /></a><div class="wp-caption-text">seorang yang meloncat ke air dengan berputar</div></div>Jadi, lintasan gerak translasi dari benda tegar dapat ditinjau sebagai lintasan dari letak titik berat benda tersebut. Dari peristiwa ini<span> </span>tampak bahwa peranan titik berat begitu penting dalam menggambarkan<span> </span>gerak benda tegar.<br />
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">Cara untuk mengetahui letak titik berat suatu benda tegar akan menjadi mudah untuk benda-benda yang memiliki simetri tertentu, misalnya segitiga, kubus, balok, bujur sangkar, bola dan lain-lain. Yaitu d sama dengan letak sumbu simetrinya. Hal ini jelas terlihat pada contoh diatas bahwa letak titik berat sama dengan sumbu rotasi yang tidak lain adalah sumbu simetrinya.</div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"> </div><div class="wp-caption aligncenter" id="attachment_37" style="width: 429px;"><a href="http://aktifisika.files.wordpress.com/2008/11/captured.jpg"><img alt="Orang ini berada dalam keseimbangan" class="size-full wp-image-37" src="http://aktifisika.files.wordpress.com/2008/11/captured.jpg?w=450" title="captured" /></a><div class="wp-caption-text">Orang ini berada dalam keseimbangan</div></div>Di sisi lain untuk benda-benda yang mempunyai bentuk sembarang letak titik berat dicari dengan perhitungan. Perhitungan didasarkan pada asumsi bahwa kita dapat<span> </span>mengambil beberapa titik dari benda yang ingin dihitung titik beratnya dikalikan dengan berat di masing-masing titik kemudian dijumlahkan dan dibagi dengan jumlah berat pada tiap-tiap titik. dikatakan titik berat juga merupakan pusat massa di dekat permukaan bumi, namun untuk tempat yang ketinggiannya tertentu di atas bumi titik berat dan pusat massa harus dibedakan.<br />
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Sumber : <a href="http://aktifisika.wordpress.com/2008/11/14/keseimbangan-benda-tegar-titik-berat/" target="_blank">AktiFisika </a>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com1tag:blogger.com,1999:blog-3291317472112582293.post-58206096147428298712012-01-26T18:02:00.003+07:002012-02-02T12:12:57.123+07:00Kesetimbangan Benda TegarKesetimbangan adalah suatu kondisi benda dengan resultan gaya dan resultan momen gaya sama dengan nol.<br />
Kesetimbangan biasa terjadi pada :<br />
<ol><li>Benda yang diam (statik), contoh : semua bangunan gedung, jembatan, pelabuhan, dan lain-lain.</li>
<li>Benda yang bergerak lurus beraturan (dinamik), contoh : gerak meteor di ruang hampa, gerak kereta api di luar kota, elektron mengelilingi inti atom, dan lain-lain.</li>
</ol>Benda tegar adalah benda yang tidak berubah bentuknya karena pengaruh gaya dari luar.<br />
Kesetimbangan benda tegar dibedakan menjadi dua:<br />
<ol><li>Kesetimbangan partikel</li>
<li>Kesetimbangan benda</li>
</ol><b> </b><br />
<span style="color: #993366;"><b>A. Keseimbangan Partikel</b></span><br />
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Partikel adalah benda yang ukurannya dapat diabaikan dan hanya mengalami gerak translasi (tidak mengalami gerak rotasi).<br />
Syarat kesetimbangan partikel <b>SF = 0 </b><b>à </b><b>SF<sub>x</sub> = 0 (sumbu X)</b><br />
<b>SF<sub>y</sub> = 0 (sumbu Y)</b><br />
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</b><br />
<b> </b><br />
<span style="color: #993366;"><b>B. Keseimbangan Benda</b></span><br />
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Jika benda dipengaruhi gaya yang jumlahnya nol ΣF = 0 maka benda akan lembam atau seimbang translasi. Hukum I Newton dapat dikembangkan untuk gerak rotasi. Jika suatu benda dipengaruhi momen gaya yang jumlahnya nol (Στ = 0) maka benda tersebut akan seimbang rotasi.<br />
Kedua syarat di atas itulah yang dapat digunakan untuk menjelaskan mengapa sebuah benda tegar itu seimbang. Sebuah benda tegar akan seimbang jika memenuhi keadaan syarat di atas. Berarti berlaku syarat di bawah.<br />
<a href="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Rumus.png"><img alt="Rumus_1" class="aligncenter size-full wp-image-510" height="88" src="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Rumus.png" title="Rumus" width="200" /></a><br />
Soal dan Penyelesaian<br />
<a href="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="Gambar_1" class="alignright size-medium wp-image-511" height="200" src="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar-254x300.png" title="Gambar" width="168" /></a><br />
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1.Sebuah papan panjangnya 2 m diberi penopang tiap-tiap ujungnya seperti pada Gambar. Massa papan 10 kg. Pada jarak 50 cm dari penopang B diletakkan beban 80 N. Jika sistem dalam keadaan seimbang maka tentukan gaya tekan normal yang bekerja di titik A dan B!<br />
Penyelesaian :<br />
Untuk menentukan nilai NA dan NB dapat digunakan syarat persamaan di atas. Karena keduanya belum diketahui, gunakan syarat Στ = 0 terlebih dahulu.<br />
<b><i>Acuan titik A</i></b><br />
Momen gaya yang bekerja dari titik A dapat digambarkan seperti pada Gambar , dan<br />
berlaku syarat berikut.<br />
ΣτA = 0<br />
(AB). NB − (AO). wAB − (AC) . w = 0<br />
2 . NB − 1. 100 − 1,5 . 80 = 0<br />
2 NB = 220<br />
NB = 110 N<br />
Nilai NA dapat ditentukan dengan syarat ΣF = 0 sehingga diperoleh :<br />
ΣF = 0<br />
NA + NB − wAB − w = 0<br />
NA + 110 − 100 − 80 = 0<br />
NA = 70 N<br />
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2. Sebuah papan nama bermassa 10 kg digantung pada batang bermassa 4 kg seperti pada Gambar (a). Agar sistem dalam keadaan seimbang maka berapakah tegangan minimum yang dapat ditarik oleh tali BC?<br />
<a href="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar_2.png"><img alt="Gambar_2" class="alignright size-medium wp-image-512" height="139" src="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar_2-300x139.png" title="Gambar_2" width="300" /></a><br />
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Penyelesaian :<br />
Tegangan T minimum adalah besar tegangan yang dapat menyebabkan sistem itu seimbang sesuai beratnya. Gaya dan momen gayanya dapat<br />
digambarkan seperti pada Gambar (b).<br />
Nilai T dapat ditentukan dengan syarat Στ = 0 di titik A.<br />
ΣτA = 0<br />
(AB).T sin 30O− (AB).wAB−(AB).w = 0<br />
<i>l</i> . T . − <i>l</i> . 40 −<i> l</i> . 100 = 0<br />
T − 40 − 200 = 0<br />
T = 240 N<br />
<b><br />
</b><br />
<b> </b><br />
<b> </b><br />
<b></b>3. Sebuah roda mamiliki massa 13 kg dan jari – jari 1 m. bertumpu dilantai dan bersandar pada anak tangga yang tingginya 0,6 m dari lantai seperti pada gambar. Tentukan gaya mendatar F minimum untuk mengungkit roda jika g = 10 m/s<sup>2</sup>!<br />
<ol></ol>Diketahui : m = 13 kg g = 10 m/s<sup>2</sup><br />
R = 1m<br />
h = 0,6 m<br />
ditanyakan : F min…..?<br />
jawab : W = m .g<br />
= 13.10<br />
= 130 N<br />
l<sub>1</sub> = R- h<br />
= 1 – 0,6<br />
= 0,4<br />
l<sub>2</sub> = Ö(R<sup>2</sup> – l<sub>1</sub><sup>2</sup>)<br />
= Ö(1<sup>2</sup> – 0,4<sup>2</sup>)<br />
= Ö(1 – 0,16)<br />
= Ö0,84<br />
tS = 0<br />
t<sub>1</sub> + t<sub>2</sub> = 0<br />
F . l<sub>1</sub> – W . l<sub>2</sub> = 0<br />
F . 0,4 – 130 . Ö0,84 = 0<br />
F = (130Ö0,84)/0,4<br />
= <span style="text-decoration: underline;">325</span><span style="text-decoration: underline;">Ö0,84 N</span><br />
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4. Suatu batang pemikul AB panjangnya 90 cm (berat diabaikan) dipakai untuk memikul beban A dan B masing – masing beratnya 48 N dan 42 N. supaya batang setimbang, orang harus memikul (menumpu) di C. maka tentukan jarak AC!<br />
<ol></ol>Diketahui : batang pemikul AB = 90 cm<br />
F<sub>A</sub> = 48 N<br />
F<sub>B</sub> = 48 N<br />
Ditanyakan : Jarak AC…?<br />
Jawaban : misal jarak AC adalah x maka BC adalah 90 – x<br />
tS = 0<br />
t<sub>A</sub> + t<sub>B</sub> = 0<br />
-W<sub>A</sub> . l<sub>A</sub> + W<sub>B</sub> . l<sub>B</sub> = 0<br />
-48x + 42 (90 – x) = 0<br />
-48x + 3780 – 42x = 0<br />
-90x = 3780<br />
x = 3780/90 = 42 cm<br />
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<b> </b><br />
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Sumber : <a href="http://www.fisika-ceria.com/keseimbangan-benda-tegar.html" target="_blank">Fisika-Ceria</a> dan <a href="http://dewi11ipa2.wordpress.com/2010/02/11/keseimbangan-benda-tegar/" target="_blank">Dewi</a><br />
<b> </b>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-52383710132515448892012-01-26T17:51:00.001+07:002012-01-26T17:56:50.478+07:00Pengantar Kesetimbangan Benda TegarSejarah arsitektur telah melahirkan para pemikir dan perancang bangunan yang karyanya sangat mengagumkan. Gabungan karya seni dan kekuatan yang kokoh menjadikan hasil karya itu bertahan lama mengukir sejarah. Kekuatan yang menopang keindahan itu terletak pada keseimbangan yang di rencanakan dengan baik. Pada pembahasan kali ini akan mempelajari materi tentang keseimbangan benda tegar.<br />
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<b>Contoh Karya Arsitektur:</b><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-wIvLdccLLhM/TyEvhicZ0nI/AAAAAAAAABo/Uohcozm9o8Q/s1600/Picture1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="219" src="http://4.bp.blogspot.com/-wIvLdccLLhM/TyEvhicZ0nI/AAAAAAAAABo/Uohcozm9o8Q/s320/Picture1.png" width="320" /></a></div><br />
<b>Pont du Gard</b> di Selatan Perancis adalah sebuah bangunan yang dibangun oleh bangsa Romawi dua ribu tahun yang lalu. Sampai sekarang masih berdiri.<br />
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<div style="text-align: justify;"><b>Kesetimbangan Gaya pada Jembatan- </b><br />
Kesetimbangan statis banyak diaplikasikan dalam bidang teknik, khususnya yang berhubungan dengan desain struktur jembatan. Anda mungkin sering melewati jembatan untuk menyeberangi sungai atau jalan. Menurut Anda, bagaimanakah kesetimbangan statis suatu jembatan jika dijelaskan secara Fisika?</div><div style="text-align: justify;">Suatu jembatan sederhana dapat dibuat dari batang pohon atau lempengan batu yang disangga di kedua ujungnya. Sebuah jembatan, walaupun hanya berupa jembatan sederhana, harus cukup kuat menahan berat jembatan itu sendiri, kendaraan, dan orang yang menggunakannya. Jembatan juga harus tahan terhadap pengaruh kondisi lingkungan. Seiring dengan perkembangan jaman dan kemajuan teknologi, dibuatlah jembatan-jembatan yang desain dan konstruksinya lebih panjang dan indah, serta terbuat dari material yang lebih kuat dan ringan, seperti baja. Secara umum, terdapat tiga jenis konstruksi jembatan. Marilah pelajari pembahasan kesetimbangan gaya-gaya yang bekerja pada setiap jenis jembatan berikut.<br />
</div><div style="text-align: justify;"><b>a. Jembatan kantilever </b>adalah jembatan panjang yang mirip dengan jembatan sederhana yang terbuat dari batang pohon atau lempengan batu, tetapi penyangganya berada di tengah. Pada bagian-bagiannya terdapat kerangka keras dan kaku (terbuat dari besi atau baja). Bagianbagian kerangka pada jembatan kantilever ini meneruskan beban yang ditanggungnya ke ujung penyangga jembatan melalui kombinasi antara tegangan dan regangan. Tegangan timbul akibat adanya pasangan gaya yang arahnya menuju satu sama lain, sedangkan regangan ditimbulkan oleh pasangan gaya yang arahnya saling berlawanan.</div><div style="text-align: justify;">Perhatikanlah <b>Gambar 6.29</b>. Kombinasi antara pasangan gaya yang berupa regangan dan tegangan, menyebabkan setiap bagian jembatan yang berbentuk segitiga membagi berat beban jembatan secara sama rata sehingga meningkatkan perbandingan antara kekuatan terhadap berat jembatan. Pada umumnya, jembatan kantilever digunakan sebagai penghubung jalan yang jaraknya tidak terlalu jauh, karena jembatan jenis ini hanya cocok untuk rentang jarak 200 m sampai dengan 400 m.</div><div style="text-align: center;"><img alt="titik berak Jembatan kantilever" class="aligncenter" height="312" src="http://budisma.web.id/wp-content/uploads/Fisika/kesetimbangan-gaya-pada-jembatan/image1.jpg" style="display: inline;" title="titik berak Jembatan kantilever" width="444" /></div><div style="text-align: center;"><b>Gambar </b><b>6.29</b><b> </b>Jembatan kantilever ini banyak digunakan di Indonesia untuk menghubungkan wilayah antardaerah.<br />
</div><div style="text-align: justify;"><b>b. Jembatan lengkung </b>adalah jembatan yang konstruksinya berbentuk busur setengah lingkaran dan memiliki struktur ringan dan terbuka. Rentang maksimum yang dapat dicapai oleh jembatan ini adalah sekitar 900 m. Pada jembatan lengkung ini, berat jembatan serta beban yang ditanggung oleh jembatan (dari kendaraan dan orang yang melaluinya) merupakan gaya-gaya yang saling berpasangan membentuk tekanan. Oleh karena itu, selain menggunakan baja, jembatan jenis ini dapat menggunakan batuan-batuan sebagai material pembangunnya. Perhatikanlah <b>Gambar</b><b> </b><b>6.30</b>. Desain busur jembatan menghasilkan sebuah gaya yang mengarah ke dalam dan ke luar pada dasar lengkungan busur.</div><div style="text-align: center;"><img alt="titik berat jembatan Rumpyang" class="aligncenter" height="314" src="http://budisma.web.id/wp-content/uploads/Fisika/kesetimbangan-gaya-pada-jembatan/image2.jpg" style="display: inline;" title="titik berat jembatan Rumpyang" width="419" /></div><div style="text-align: center;"><b>Gambar </b><b>6.30</b><b> </b>Salah satu contoh jembatan lengkung adalah jembatan Rumpyang yang terdapat di Kalimantan Selatan.<br />
</div><div style="text-align: justify;"><b>c. Jembatan gantung</b> adalah jenis konstruksi jembatan yang menggunakan kabel-kabel baja sebagai penggantungnya, dan terentang di antara menara-menara. Setiap ujung kabel-kabel penggantung tersebut ditanamkan pada jangkar yang tertanam di pinggiran pantai. Perhatikanlah <b>Gambar 6.31</b>. Jembatan gantung menyangga bebannya dengan cara menyalurkan beban tersebut (dalam bentuk tekanan oleh gaya-gaya) melalui kabel-kabel baja menuju menara penyangga. Kemudian, gaya tekan tersebut diteruskan oleh menara penyangga ke tanah. Jembatan gantung ini memiliki perbandingan antara kekuatan terhadap berat jembatan yang paling besar, jika dibandingkan dengan jenis jembatan lainnya. Oleh karena itu, jembatan gantung dapat dibuat lebih panjang, seperti Jembatan Akashi-Kaikyo di Jepang yang memiliki panjang rentang antarmenara 1780 m.</div><div style="text-align: center;"><img alt="titik berat Jembatan Ampera" class="aligncenter" height="282" src="http://budisma.web.id/wp-content/uploads/Fisika/kesetimbangan-gaya-pada-jembatan/image3.jpg" style="display: inline;" title="titik berat Jembatan Ampera" width="399" /></div><div style="text-align: center;"><b>Gambar </b><b>6.31</b><b> </b>Jembatan Ampera yang terdapat di Sumatra Selatan ini menggunakan konstruksi jembatan gantung dengan duamenara.</div><br />
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<div style="text-align: justify;"><strong>Konsep Benda Tegar</strong></div><div style="text-align: justify;">Dalam ilmu fisika, setiap benda bisa kita anggap sebagai benda tegar (benda kaku). Benda tegar itu cuma bentuk ideal yang membantu kita menggambarkan sebuah benda. Bagaimanapun setiap benda dalam kehidupan kita bisa berubah bentuk (tidak selalu tegar/kaku), jika pada benda tersebut dikenai gaya yang besar. Setiap benda tegar dianggap terdiri dari banyak partikel alias titik. Partikel2 itu tersebar di seluruh bagian benda. Jarak antara setiap partikel yang tersebar di seluruh bagian benda selalu sama.</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Untuk membantumu lebih memahami konsep benda tegar, MamGuru menggunakan ilustrasi saja. Amati gambar di bawah…..</div><div style="text-align: justify;"><img alt="titik-berat-1" class="aligncenter size-full wp-image-4539" height="120" src="http://www.gurumuda.com/wp-content/uploads/2009/02/titik-berat-1.jpg" title="titik-berat-1" width="205" /> </div><div style="text-align: justify;">Ini gambar sebuah benda (cuma contoh). Benda ini bisa kita anggap tersusun dari banyak partikel. Pada gambar, partikel2 ditandai dengan titik hitam. Seharusnya semua bagian benda itu dipenuhi dengan titik hitam, tapi nanti malah gambarnya jadi hitam semua. Maksud MamGuru adalah menunjukkan partikel2 alias titik2.</div><div style="text-align: justify;"><br />
</div>Dalam benda tegar, ukuran benda tidak diabaikan. Sehingga gaya-gaya yang bekerja pada benda hanya mungkin menyebabkan gerak translasi dan rotasi terhadap suatu poros. Pada benda tegar di kenal titik berat.<br />
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Salah satu contoh aplikasi titik berat adalah<b> tim acrobat</b> yang membentuk piramid, lalu berjalan di atas tali yang terhubung dengan ketinggian 20 m. Untuk mengetahui sebab tidak jatuhnya pemain acrobat itu, dapat pembaca mencari tahu dari materi yang kami bahas ini.<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-CNO3_Hx0ZVE/TyEu-M1NdII/AAAAAAAAABg/JgPliebkZrE/s1600/Picture2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="230" src="http://3.bp.blogspot.com/-CNO3_Hx0ZVE/TyEu-M1NdII/AAAAAAAAABg/JgPliebkZrE/s320/Picture2.png" width="320" /></a></div><br />
Sumber : <a href="http://budisma.web.id/materi/sma/fisika-kelas-xi/kesetimbangan-gaya-pada-jembatan/" target="_blank">Budisma </a>dan <a href="http://www.gurumuda.com/titik-berat-alias-pusat-gravitasi" target="_blank">Guru Mud</a>a dan <a href="http://dewi11ipa2.wordpress.com/2010/02/11/keseimbangan-benda-tegar/" target="_blank"> Dewi</a>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-61836968640175383622012-01-26T16:56:00.000+07:002012-01-26T16:56:02.148+07:00Alat Pemusingan - Dinamika RotasiSuatu alat yang berguna dalam menggambarkan dengan baik aspek dinamika dan gerak melingkar adalah mesin pemusing , atau pemusing ultra dengan laju yang sangat tinggi. Alat ini digunakan untuk mengendapkan materi dengan cepat atau untuk memisahkan berbagai materi dengan karakteristik yang berbeda-beda. Tabung uji atau wadah lainnya dipasang pada baling-baling pemusing; yang dipercepat sampai laju rotasi yang sangat tinggi; lihat Gambar . 1 , dimana satu tabung uji ditunjukkan dengan dua posisi yang menggambarkan partikel yang kecil, mungkin sebuah makromolekul, pada tabung uji yang dipenuhi dengan fluida. Ketika tabung berada pada posisi A baling – baling berputar, partikel ini mempunyai kecendrungan untuk bergerak pada garis lurus dengan arah tanda panah yang terputus-putus pada gambar. Tetapi fluida, yang menahan gerak partikel, memberi gaya sentripetal yang mempertahankan <span class="fullpost"> <br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-FhNZzvNGUdc/TbgjDRQnuqI/AAAAAAAAAW4/J3iHSai-ORs/s1600/pemusingan.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://3.bp.blogspot.com/-FhNZzvNGUdc/TbgjDRQnuqI/AAAAAAAAAW4/J3iHSai-ORs/s320/pemusingan.jpg" width="301" /></a></div><br />
<span style="font-size: xx-small;">Gambar. 1 : Tabung uji rotasi dalam sebuah mesin pemusing (tampak atas). Tabung digambarkan pada dua posisi. Pada A, titik kecil menyatakan sebuah makro molekul atau partikel lainnya yang diendapkan. Partikel itu cendrung akan bergerak sepanjang garis terputus-putus menuju dasar tabung tetapi cairan menahan gerak ini dengan memberikan gaya pada partikel sebagaimana ditunjukkan pada titik B.</span><br />
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agar partikel tetap bergerak dalam jalur yang hampir berupa lingkaran. Biasanya, hambatan fluida (yang mungkin merupakan cairan, gas, atau gel, bergantung pada jenis aplikasi) tidak sama persis dengan mv2/r , dan partikel itu pada akhirnya mencapai dasar tabung. Jika partikel-partikel mengendap dalam medium yang semi-keras seperti gel, dan rotasi diberhentikan sebelum partikel mencapai dasar tabung, partikel-partikel itu akan dipisahkan menurut ukuran atau faktor-faktor lain yang mempengaruhi mobilitasnya. Jika partikel-partikel mencapai dasar tabung, maka dasar tabung memberikan gaya yang mempertahankan gerak partikel dalam lingkaran. Bahkan, dasar tabung harus memberikan gaya pada seluruh fluida dalam tabung, untuk membuatnya tetap bergerak dalam lingkaran. Jika tabung tidak cukup kuat untuk memberikan gaya ini, tabung itu akan pecah. <br />
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Jenis bahan yang ditempatkan dalam mesin pemusing adalah yang tidak mengendap atau terpisah dengan cepat di bawah pengaruh gravitasi. Tujuan dipakainya mesin pemusing adalah untuk memberikan “gravitasi efektif” yang lebih besar daripada gravitasi normal karena laju rotasi yang tinggi, sehingga partikel-partikel bergerak ke bagian bawah tabung dengan lebih cepat.<br />
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<span class="fullpost">Sumber :<a href="http://penjagahati-zone.blogspot.com/2011/04/pemusing.html" target="_blank"> Penjaga hati-Zone </a></span>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-47388262927601242022012-01-26T16:52:00.004+07:002012-01-26T17:13:10.149+07:00Aplikasi Dinamika Rotasi<span style="font-size: large;"><b>1.GERAK PADA KATROL</b></span><br />
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<span style="font-size: large;"><b>Sistem benda</b></span><br />
Sistem benda adalah gabungan beberapa benda yang mengalami gerak secara bersama-sama. Pada sistem benda pada materi ini dapat merupakan gabungan<br />
gerak translasi dan rotasi.<br />
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<b>Contohnya adalah sistem katrol dengan massa tidak diabaikan. <span style="font-size: large;"> </span></b><br />
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<b>Contoh 1 : </b><br />
<a href="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Sistem-Benda.png"><img alt="Sistem Benda" class="alignright size-medium wp-image-518" height="300" src="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Sistem-Benda-233x300.png" title="Sistem Benda" width="233" /></a><br />
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Balok A 2 kg berada di atas meja licin dihubungkan tali dengan balok B 3 kg melalui katrol sehingga dapat menggantung seperti pada Gambar (a).<br />
Jika massa katrol sebesar 2 kg dan jari-jari 10 cm maka tentukan :<br />
a. percepatan benda A dan B,<br />
b. percepatan sudut katrol,<br />
c. tegangan tali TA dan TB!<br />
Penyelesaian<br />
mA = 2 kg<br />
mB = 3 kg → wB = 30 N<br />
mk = 2 kg → k =<br />
<b>a. Percepatan balok A dan B</b><br />
Balok A dan B akan bergerak lurus dan katrol berotasi sehingga dapat ditentukan percepatannya dengan bantuan gambar gaya-gaya seperti pada Gambar (b).<br />
Balok A : translasi<br />
ΣF = m a<br />
TA = mA a = 2 a ………………………………<br />
a) Balok B : translasi<br />
ΣF = m a<br />
30 − TB = 3a<br />
TB = 30 − 3a …………………………………<br />
b) Katrol : berotasi<br />
Στ = I α<br />
(TB − TA) R = k mk R2 .<br />
TB − TA = . 2 . a<br />
Substitusi TA dan TB dapat diperoleh:<br />
(30 − 3a) − (2a) = a<br />
30 = 6a → a = 5 m/s2<br />
<b><br />
b. Percepatan sudut katrol sebesar:</b><br />
<b>α = a / R = 5 / 0,1 = 50 </b>rad/s<sup>2</sup><br />
<b>c. Tegangan talinya:</b><br />
TA = 2a = 2 . 5 = 10 N<br />
TB = 30 − 3a = 30 − 3 . 5 = 15 N<br />
<h5 style="text-align: justify;"><b><span style="font-size: small;">Contoh 2, menghitung percepatan benda yang terhubung pada katro</span>l</b></h5><div style="text-align: justify;">Sebuah silinder pejal berjari-jari 15 cm dan bermassa 2 kg dijadikan katrol untuk sebuah sumur, seperti tampak pada gambar. Batang yang dijadikan poros memiliki permukaan licin sempurna. Seutas tali yang massanya dapat diabaikan, digulung pada silinder. Kemudian, sebuah ember bermassa 1 kg diikatkan pada ujung tali. Tentukan percepatan ember saat jatuh ke dalam sumur.</div><div style="text-align: center;"><div style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="ember pada katrol" class="aligncenter" height="144" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image3.jpg" style="display: inline;" title="ember pada katrol" width="161" /></div></div><div style="text-align: justify;"><br />
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</div><div style="text-align: left;"><b>Jawab</b></div><div style="text-align: left;"><br />
</div></div><div style="text-align: center;"><b style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="Rotasi pada katrol silinder" class="aligncenter" height="143" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image4.jpg" style="display: inline;" title="Rotasi pada katrol silinder" width="122" /></b></div><div style="text-align: justify;"><br />
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Diketahui: <i>R </i>= 15 cm, massa katrol silinder <i>M </i>= 2 kg, dan massa ember <i>m </i>= 1 kg.</div><div style="text-align: justify;">Rotasi pada katrol silinder:<br />
Berdasarkan persamaan momen gaya didapatkan<br />
τ = <i>I</i>α<br />
RT = Ia/R<br />
<b>T = (I.a)/R<sup>2</sup> …. (a)</b></div><div style="text-align: justify;">Translasi pada ember:<br />
Berdasarkan Hukum Newton didapatkan</div><div style="text-align: justify;"><img alt="" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image5.jpg" style="display: inline;" /></div><div style="text-align: justify;">ƩF = m.a</div><div style="text-align: justify;"><b><i>mg – T </i>= <i>ma </i>…. (b)</b></div><div style="text-align: justify;">Dengan menggabungkan <b>Persamaan (a) </b>dan <b>Persamaan (b)</b>, diperoleh hubungan.</div><div style="text-align: justify;"><img alt="" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image6.jpg" style="display: inline;" /></div><div style="text-align: justify;">Selanjutnya, substitusikan harga <i>I </i>= ½ <i>M R</i>2 pada <b>Persamaan (c) </b>sehingga diperoleh</div><div style="text-align: justify;"><img alt="" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image7.jpg" style="display: inline;" /></div><div style="text-align: justify;">dengan <i>m </i>adalah massa ember dan <i>M </i>adalah massa katrol silinder.</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"></div><div style="text-align: justify;"></div><h1 class="entry-title"><span style="font-size: large;">2.GERAK MENGGELINDING</span></h1><div style="text-align: justify;">Bola yang menggelinding di atas bidang akan mengalami dua gerakan sekaligus, yaitu rotasi terhadap sumbu bola dan translasi bidang yang dilalui. Oleh karena itu, benda yang melakukan gerak menggelinding memiliki persamaan rotasi dan persamaan translasi. Besarnya energi kinetik yang dimiliki benda mengelinding adalah jumlah energi kinetik rotasi dan energi kinetik translasi. Anda disini akan mempelajari bola mengelinding pada bidang datar dan bidang miring<br />
</div><b>1. Menggelinding pada Bidang Datar</b><br />
<div style="text-align: justify;">Perhatikan Gambar 6.8! Sebuah silinder pejal bermassa <i>m </i>dan berjari-jari <i>R </i>menggelinding sepanjang bidang datar horizontal. Pada silinder diberikan gaya sebesar <i>F</i>. Berapakah percepatan silinder tersebut jika silider menggelinding tanpa selip? Jika silinder bergulir tanpa selip, maka silinder tersebut bergerak secara translasi dan rotasi. Pada kedua macam gerak tersebut berlaku persamaan-persamaan berikut.</div>• Untuk gerak translasi berlaku persamaan<br />
<i>F </i>– <i>f </i>= <i>m a </i>dan <i>N </i>– <i>m g </i>= 0<br />
Untuk gerak rotasi berlaku persamaan<span id="more-1983"></span><br />
τ= I x α<br />
<div style="text-align: justify;"><a href="http://fisika79.files.wordpress.com/2011/05/untitled-1_08.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" class="aligncenter size-full wp-image-1984" src="http://fisika79.files.wordpress.com/2011/05/untitled-1_08.gif?w=500" title="Untitled-1_08" /></a><br />
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Karena silinder bergulir tanpa selip, maka harus ada gaya gesekan.<br />
Besarnya gaya gesekan pada sistem ini adalah sebagai berikutJika disubstitusikan ke dalam persamaan F – f = m a, maka persamaanya<br />
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menjadi seperti berikut<a href="http://fisika79.files.wordpress.com/2011/05/untitled-1_13.gif"><img alt="" class="aligncenter size-medium wp-image-1985" height="217" src="http://fisika79.files.wordpress.com/2011/05/untitled-1_13.gif?w=300&h=217" title="Untitled-1_13" width="300" /></a> </div><div style="text-align: justify;">Contoh: Sebuah bola pejal bermassa 10 kg berjari-jari 70 cm menggelinding di atas bidang datar karena dikenai gaya 14 N. Tentukan momen inersia,percepatan tangensial tepi bola, percepatan sudut bola, gaya gesekan antara bola dan bidang datar, serta besarnya torsi yang memutar bola!</div><a href="http://fisika79.files.wordpress.com/2011/05/untitled-2_03.gif"><img alt="" class="aligncenter size-full wp-image-1986" src="http://fisika79.files.wordpress.com/2011/05/untitled-2_03.gif?w=500" title="Untitled-2_03" /></a><a href="http://fisika79.files.wordpress.com/2011/05/untitled-2_05.gif"><img alt="" class="size-full wp-image-1987 aligncenter" src="http://fisika79.files.wordpress.com/2011/05/untitled-2_05.gif?w=500" title="Untitled-2_05" /></a><b> </b><br />
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<b>2. Menggelinding pada Bidang Miring</b><br />
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Gerak translasi diperoleh dengan mengasumsikan semua gaya luar bekerja di pusat massa silinder. Menurut hukum Newton:<br />
a. Persamaan gerak dalam arah normal adalah N – mg cos Θ = 0.<br />
b. Persamaan gerak sepanjang bidang miring adalah mg sin Θ – f = ma.<br />
c. Gerak rotasi terhadap pusat massanya τ= I x α .<br />
Gaya normal N dan gaya berat mg tidak dapat menimbulkan rotasi<br />
terhadap titik O. Hal ini disebabkan garis kerja gaya melalui titik O, sehingga lengan momennya sama dengan nol. Persamaan yang berlaku adalah sebagai berikut.<br />
sedangkan untuk rumus kecepatan benda di dasar bidang miring setelah menggelinding adalah sebagai berikut.<a href="http://fisika79.files.wordpress.com/2011/05/untitled-2_032.gif"><img alt="" class="aligncenter size-full wp-image-1992" src="http://fisika79.files.wordpress.com/2011/05/untitled-2_032.gif?w=500" title="Untitled-2_03" /></a><br />
<span style="color: #cccccc; display: block; font: 8px/1em Verdana,sans-serif; letter-spacing: 1px; padding: 0pt 1px; text-align: left; text-transform: uppercase;"> </span><span style="color: #cccccc; display: block; font: 8px/1em Verdana,sans-serif; letter-spacing: 1px; padding: 0pt 1px; text-align: left; text-transform: uppercase;"> </span><br />
<h4 style="text-align: justify;"><b>Contoh 1, menghitung percepatan bola pada bidang miring</b></h4><div style="text-align: justify;"><img alt="" src="http://budisma.web.id/wp-content/uploads/Fisika/dinamika-rotasi/image8.jpg" style="display: inline;" /></div><div style="text-align: justify;">Sebuah benda pejal bermassa <i>M </i>dan berjari-jari <i>R, </i>memiliki momen inersia <i>I </i>= <i>kMR</i><sup>2</sup>. Benda tersebut menggelinding pada suatu bidang miring dengan sudut kemiringan, seperti tampak pada gambar.<br />
a. Berapakah percepatan yang dialami benda pejal tersebut?<br />
b. Tentukanlah percepatan yang terjadi, jika benda itu berupa bola dengan momen inersia <i>I </i>=(2/5)<i>MR</i><sup>2</sup>, atau silinder dengan <i>I </i>= ½ <i>MR</i><sup>2</sup>.</div><div style="text-align: justify;"><b>Jawab</b><br />
Diketahui: <i>I </i>benda pejal = <i>kMR</i><sup>2</sup>.</div><div style="text-align: justify;">a. Menurut Hukum Kedua Newton pada gerak translasi, diperoleh hubungan</div><div style="text-align: center;"><b><i>Mg </i>sin θ – <i>f </i>= <i>Ma </i>atau <i>Ma </i>+ <i>f </i>= <i>Mg </i>sin θ …. (a)</b></div><div style="text-align: justify;">Berdasarkan prinsip rotasi terhadap pusat benda, berlaku hubungan</div><div style="text-align: center;"><b>τ = <i>I</i>α → <i>f R </i>= <i>kMR </i>α→ <i>f </i>= <i>kMa …. </i>(b)</b></div><div style="text-align: justify;">Substitusikan <b>Persamaan (b) </b>ke dalam <b>Persamaan (a)</b>, diperoleh</div><div style="text-align: center;"><b><i>Ma </i>+ <i>kMa </i>= <i>Mg </i>sinθ ⇨ a = (<i>g </i>sinθ) / (k +1)</b></div><div style="text-align: justify;">b. Untuk silinder dengan <i>k </i>= ½ <i>, </i>diperoleh <i></i></div><div style="text-align: center;"><b><i>a </i>= (<i>g </i>sinθ) / ( ½ + 1) = (2/3) (<i>g </i>sinθ)</b></div><div style="text-align: center;"><br />
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</div><div style="text-align: left;"><b>Contoh 2 : </b></div><div style="text-align: left;"></div><div style="text-align: left;">Sebuah silinder pejal bermassa M dan berjari-jari R diletakkan pada bidang miring dengan kemiringan θ terhadap bidang horisontal yang mempunyai kekasaran tertentu. Setelah dilepas silinder tersebut menggelinding, tentukan kecepatan silinder setelah sampai di kaki bidang miring!</div><div style="text-align: left;"></div><div style="text-align: left;">Cara penyelesaiannya:</div><div style="text-align: left;"></div><div style="text-align: left;"><a href="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar_1.png"><img alt="Gambar_1" class="aligncenter size-medium wp-image-532" height="107" src="http://www.fisika-ceria.com/wp-content/uploads/2011/01/Gambar_1-300x107.png" title="Gambar_1" width="300" /></a></div><div style="text-align: left;"></div><div style="text-align: left;">Persoalan ini dapat diselesaikan menggunakan konsep dinamika atau menggunakan hukum kekekalan tenaga mekanik.</div><div style="text-align: left;"></div><div style="text-align: left;">a. Penyelesaian secara dinamika</div><div style="text-align: left;"></div><div style="text-align: left;">Silinder menggelinding karena bidang miring mempunyai tingkat kekasaran tertentu. Momen gaya terhadap sumbu putar yang menyebabkan silinder berotasi dengan percepatan sudut α ditimbulkan oleh gaya gesek f, yang dapat ditentukan melalui fR = Iα</div><div style="text-align: left;"></div><div style="text-align: left;">Karena momen inersia silinder terhadap sumbunya adalah I =1/2MR<sup>2</sup> dan percepatan linier a = αR, maka gaya gesek dapat dinyatakan sebagai f = ½ Ma</div><div style="text-align: left;"></div><div style="text-align: left;">Pada gerak menggelinding tersebut pusat massa silinder bergerak translasi, sehingga berlaku hukum kedua Newton.</div><div style="text-align: left;"></div><div style="text-align: left;"><i>Mg sin θ – f = Ma</i></div><div style="text-align: left;"></div><div style="text-align: left;">Setelah memasukkan harga <i>f </i>di atas dapat diketahui percepatan linier silinder, yaitu <i>a = </i>2/3 g Sinθ</div><div style="text-align: left;"></div><div style="text-align: left;">Dengan menggunakan hubungan v<sup>2 </sup>= v<sub>o</sub><sup>2 </sup>+ 2as, dan mengingat kecepatan silinder saat terlepas v<sub>o</sub> = 0 dan h = s sin θ, maka</div><div style="text-align: left;"></div><div style="text-align: left;">kecepatan silinder setelah sampai di ujung kaki bidang adalah:</div><div style="text-align: left;"></div><div style="text-align: left;">V<sup>2</sup> = 4/3 gh</div><div style="text-align: left;"></div><div style="text-align: left;">Terlihat bahwa kecepatan benda menggelinding lebih lambat daripada bila benda tersebut tergelincir (meluncur) tanpa gesekan yang kecepatannya:</div><div style="text-align: left;"></div><div style="text-align: left;">V<sup>2 </sup>= 2gh</div><div style="text-align: left;"></div><div style="text-align: left;">b. Penyelesaian menggunakan kekekalan tenaga mekanik</div><div style="text-align: left;"></div><div style="text-align: left;">Pada gerak menggelinding berlaku hukum kekekalan tenaga mekanik, tenaga mekanik silinder pada kedudukan 1 adalah:</div><div style="text-align: left;"></div><div style="text-align: left;">E<sub>I</sub> = Ep<sub>I</sub> = Mg (h + R)</div><div style="text-align: left;"></div><div style="text-align: left;"><b>Sedangkan tenaga mekanik silinder pada kedudukan 2 adalah:</b></div><div style="text-align: left;"><blockquote>E<sub>2</sub> = Ep<sub>2</sub> + Ek<sub>2 </sub>+ EkR<sub>2</sub><br />
mgR + 1/2 mv<sup>2</sup> + 1/2 Iω<sup>2</sup></blockquote></div><div style="text-align: left;">Perubahan tenaga mekanik yang terjadi adalah</div><div style="text-align: left;"></div><div style="text-align: left;">W<sub>f </sub>= ΔE = E<sub>2 </sub>– E<sub>1</sub> = ½ Mv <sup>2</sup> + 1/2 Iω<sup>2</sup> − Mgh</div><div style="text-align: left;"></div><div style="text-align: left;">Karena Wf = 0, maka dengan memasukkan momen inersia silinder I =1/2MR<sup> </sup><sup>2</sup></div><div style="text-align: left;"></div><div style="text-align: left;">ϖ = v/R , kecepatan silinder setelah sampai di ujung kaki bidang miring besarnya adalah:</div><div style="text-align: left;"></div><div style="text-align: left;">V<sup>2</sup> = 4/3 gh</div><br />
</div><div style="text-align: left;"><span style="font-size: large;"><b>3. APLIKASI HUKUM KEKEKALAN MOMENTUM SUDUT </b></span></div>Hukum Kekekalan Momentum Sudut<br />
Bila momen gaya eksternal resultan yang bekerja pada suatu benda tegar sama dengan nol, maka momentum sudut total sistem tetap. Prinsip ini dikenal sebagai prinsip <b>kekekalan momentum sudu</b><b>t</b>.<br />
<br />
Jika benda tegar berotasi dengan <b>dua keadaan momentum sudut yang berbeda</b>, maka hukum kekekalan momentum sudut dapat dituliskan sebagai<br />
<b>I<sub>1</sub>ω<sub>1</sub>=I<sub>2</sub>ω<sub>2</sub></b><br />
<br />
Beberapa aplikasi hukum kekekalan momentum sudut<br />
<div style="text-align: left;"></div><b>a. Penari balet</b><br />
seorang penari balet akan menarik tangannya ke dekat badannya untuk berputar lebih cepat dan mengembangkan kedua tangannya untuk berputar lebih lambat. Ketika penari balet menarik kedua tangannya ke dekat badannya, momen inersia sistem berkurang sehingga kecepatan sudut penari balet semakin besar. Sebaliknya, ketika kedua tangan mengembang momen inersia sistem meningkat sehingga kecepatan sudut penari balet semakin kecil<br />
<br />
<b>b. Pelompat indah</b><br />
Pada saat pelompat indah hendak melakukan putaran di udara, ia akan menekuk tubuhnya. hal ini akan mengurangi momen inersianya sehingga kecepatan sudutnya semakin besar, menyebabkan pelompat indah dapat berputar satu setengah putaran<br />
<div style="text-align: left;"><b> </b></div><div style="text-align: left;"><br />
</div><div style="text-align: left;"><b>Sumber :<a href="http://yiksrimustika.wordpress.com/2011/05/07/dinamika-benda-tegar-2/" target="_blank"> yiksrimustika </a>dan <a href="http://budisma.web.id/materi/sma/fisika-kelas-xi/dinamika-rotasi/" target="_blank">budisma</a> dan <a href="http://fisika79.wordpress.com/2011/05/14/gerak-menggelinding/" target="_blank">fisika79 </a></b></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com2tag:blogger.com,1999:blog-3291317472112582293.post-89132787433801558952012-01-21T22:42:00.000+07:002012-01-21T22:42:34.531+07:00Latihan Soal Dinamika Gerak RotasiPenekanan pada kasus dengan penggunaan persamaan Σ τ = Iα dan Σ F = ma, momen inersia (silinder dan bola pejal), kasus Energi kinetik translasi-rotasi dan hubungan-hubungan antara besaran gerak rotasi dan translasi.<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/11/dinrotasianim.gif" /><br />
<br />
<span style="color: green;"><strong><u>Soal No. 1</u></strong></span><br />
Sebuah ember berikut isinya bermassa m = 20 kg dihubungkan dengan tali pada sebuah katrol berbentuk silinder pejal bermassa M = 10 kg. Ember mula-mula ditahan dalam kondisi diam kemudian dilepaskan. <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhdinamikaro1.png" /><br />
<br />
Jika jari-jari katrol 25 cm dan percepatan gravitasi bumi 10 m/s<sup>2</sup> tentukan :<br />
a) percepatan gerak turunnya benda m<br />
b) percepatan sudut katrol<br />
c) tegangan tali<br />
<br />
<br />
<span style="color: red;"><strong><u>Pembahasan</u></strong></span> <br />
a) percepatan gerak turunnya benda m<br />
<br />
Tinjau katrol : <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi1a1.gif" /><br />
<br />
<span style="color: red;">(Persamaan 1)</span><br />
<br />
Tinjau benda m :<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi1a2.gif" /><br />
<br />
<span style="color: red;">(Persamaan 2)</span><br />
<br />
Gabung 1 dan 2:<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi1a3.gif" /><br />
<br />
b) percepatan sudut katrol<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi1b.gif" /><br />
<br />
c) tegangan tali<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi1c.gif" /><br />
<br />
<span style="color: green;"><strong><u>Soal No. 2</u></strong></span><br />
Dua buah ember dihubungkan dengan tali dan katrol berjari-jari 10 cm, ditahan dalam kondisi diam kemudian dilepas seperti gambar berikut! <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhdinamikaro2.png" /><br />
<br />
Jika massa m<sub>1</sub> = 5 kg , m<sub>2</sub> = 3 kg dan massa katrol M = 4 kg, tentukan :<br />
a) percepatan gerak ember<br />
b) tegangan tali pada ember 1 <br />
c) tegangan tali pada ember 2<br />
<br />
<span style="color: red;"><strong><u>Pembahasan</u></strong></span> <br />
a) percepatan gerak ember<br />
Tinjau katrol<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2a1.gif" /><br />
<br />
Tinjau ember 1<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2a2.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 2</u> )</span><br />
<br />
Tinjau ember 2<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2a3.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 3</u> )</span><br />
<br />
Gabung 2 dan 3<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2a4.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 4</u> )</span><br />
<br />
Gabung 1 dan 4<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2a5.gif" /><br />
<br />
b) tegangan tali pada ember 1 <br />
Dari persamaan 2<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2b.gif" /><br />
<br />
c) tegangan tali pada ember 2 <br />
Dari persamaan 3<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi2c.gif" /><br />
<br />
<span style="color: green;"><strong><u>Soal No. 3</u></strong></span><br />
Sebuah katrol silinder pejal dengan massa M = 4 kg berjari-jari 20 cm dihubungkan dengan dua buah massa m<sub>1</sub> = 5 kg dan m<sub>2</sub> = 3 kg dalam kondisi tertahan diam kemudian dilepaskan. <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhdinamikaro3.png" /><br />
<br />
Jika lantai dibawah m<sub>1</sub> licin , tentukan percepatan gerak kedua massa!<br />
<br />
<span style="color: red;"><strong><u>Pembahasan</u></strong></span> <br />
Tinjau katrol M<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi31.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 1</u> )</span><br />
<br />
Tinjau m<sub>2</sub><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi32.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 2</u> )</span><br />
<br />
Tinjau m<sub>1</sub><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi33.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 3</u> )</span><br />
<br />
Gabung 2 dan 3<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi34.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 4</u> )</span><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi35.gif" /><br />
<br />
<span style="color: green;"><strong><u>Soal No. 4</u></strong></span><br />
Sebuah silinder pejal bermassa 10 kg berada diatas permukaan yang kasar ditarik gaya F = 50 N seperti diperlihatkan gambar berikut! <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhdinamikaro4.png" /><br />
<br />
Tentukan percepatan gerak silinder jika jari-jarinya adalah 40 cm!<br />
<br />
<span style="color: red;"><strong><u>Pembahasan</u></strong></span> <br />
Tinjau gaya-gaya pada silinder :<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi41.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 1</u> ) </span> <br />
<br />
<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi42.gif" /><br />
<br />
<span style="color: red;">( <u>Persamaan 2</u> )</span><br />
<br />
Gabung 1 dan 2 <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi43.gif" /><br />
<br />
<span style="color: green;"><strong><u>Soal No. 5</u></strong></span><br />
Bola pejal bermassa 10 kg mula-mula diam kemudian dilepaskan dari ujung sebuah bidang miring dan mulai bergerak transalasi rotasi. Jari-jari bola adalah 1 meter, dan ketinggian h = 28 m. <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhdinamikaro5.png" /><br />
<br />
Tentukan kecepatan bola saat tiba di ujung bawah bidang miring!<br />
<br />
<span style="color: red;"><strong><u>Pembahasan</u></strong></span> <br />
Hukum Kekekalan Energi Mekanik :<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11dinrotasi5.gif" /><br />
<div style="background-color: white; border: medium none; color: black; overflow: hidden; text-align: left; text-decoration: none;"><br />
Sumber <a href="http://fisikastudycenter.com/content/view/161/35/" target="_blank">Fisika Study Center</a></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com2tag:blogger.com,1999:blog-3291317472112582293.post-13629694200706514182012-01-21T22:39:00.001+07:002012-01-21T22:40:27.966+07:00Latihan Soal Momen Gaya dan Momen InersiaContoh mencakup penggunaan rumus momen gaya, momen inersia untuk massa titik dan momen inersia beberapa bentuk benda, silinder pejal, bola pejal dan batang tipis.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/11/momenanim.gif" /><br />
<br />
<span style="color: green;"><b><u>Soal No. 1</u></b></span><br />
Empat buah gaya masing-masing :<br />
F<sub>1</sub> = 100 N<br />
F<sub>2</sub> = 50 N<br />
F<sub>3</sub> = 25 N<br />
F<sub>4</sub> = 10 N<br />
bekerja pada benda yang memiliki poros putar di titik P seperti ditunjukkan gambar berikut!<br />
<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen1.png" /><br />
<br />
Jika ABCD adalah persegi dengan sisi 4 meter, dan tan 53<sup>o</sup> = <sup>4</sup>/<sub>3</sub>, tentukan besarnya momen gaya yang bekerja pada benda dan tentukan arah putaran gerak benda!<br />
<span style="color: red;"><span style="color: red;"><br />
</span></span> <br />
<span style="color: red;"><b><u>Pembahasan</u></b></span> <br />
Diagram gaya-gaya yang bekerja pada benda (tampak depan) sebagai gambar berikut :<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen1a.png" /><br />
<br />
Misal :<br />
(+) untuk putaran searah jarum jam<br />
(−) untuk putaran berlawanan arah jarum jam<br />
(Ket : Boleh dibalik) <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya1.gif" /> <br />
<br />
Sesuai perjanjian tanda di atas, benda berputar searah jarum jam<br />
<br />
<span style="color: green;"><b><u>Soal No. 2</u></b></span><br />
Empat buah gaya masing-masing :<br />
F<sub>1</sub> = 10 N<br />
F<sub>2</sub> = 10 N<br />
F<sub>3</sub> = 10 N<br />
F<sub>4</sub> = 10 N<br />
dan panjang AB = BC = CD = DE = 1 meter<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen2.png" /><br />
<br />
Dengan mengabaikan berat batang AE, tentukan momen gaya yang bekerja pada batang dan arah putarannya jika:<br />
a) poros putar di titik A<br />
b) poros putar di titik D<br />
<br />
<span style="color: red;"><b><u>Pembahasan</u></b></span><br />
a) poros putar di titik A<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya2a.gif" /><br />
<br />
Putaran searah jarum jam.<br />
<br />
b) poros putar di titik D<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya2b.gif" /><br />
<br />
Putaran berlawanan arah dengan jarum jam<br />
<br />
<span style="color: green;"><b><u>Soal No. 3</u></b></span><br />
Susunan 3 buah massa titik seperti gambar berikut! <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen3.png" /><br />
<br />
Jika m<sub>1</sub> = 1 kg, m<sub>2</sub> = 2 kg dan m<sub>3</sub> = 3 kg, tentukan momen inersia sistem tersebut jika diputar menurut :<br />
a) poros P<br />
b) poros Q<br />
<br />
<span style="color: red;"><b><u>Pembahasan</u></b></span><br />
a) poros P<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya3a.gif" /><br />
<br />
b) poros Q<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya3b.gif" /><br />
<br />
<span style="color: green;"><b><u>Soal No. 4</u></b></span><br />
Lima titik massa tersusun seperti gambar berikut! <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen4.png" /><br />
<br />
m<sub>1</sub> = 1 kg, m<sub>2</sub> = 2 kg , m<sub>3</sub> = 3 kg, m<sub>4</sub> = 4 kg, m<sub>5</sub> = 5 kg <br />
Tentukan momen inersianya jika:<br />
a) poros putar sumbu X<br />
b) poros putar sumbu Y<br />
<br />
<span style="color: red;"><b><u>Pembahasan</u></b></span><br />
a) poros putar sumbu X<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya4a.gif" /><br />
<br />
b) poros putar sumbu Y<br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya4b.gif" /><br />
<br />
<span style="color: green;"><b><u>Soal No. 5</u></b></span><br />
Tiga buah benda masing-masing :<br />
Bola pejal massa 5 kg<br />
Silinder pejal massa 2 kg<br />
Batang tipis massa 0,12 kg<br />
D = 2 m <br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/10/uhmomen5.png" /><br />
<br />
Tentukan momen inersia masing- masing benda dengan pusat benda sebagai porosnya!<br />
<br />
<span style="color: red;"><b><u>Pembahasan</u></b></span><br />
<span style="color: red;"><b>Bola Pejal</b> </span><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya5a.gif" /><br />
<br />
<span style="color: red;"><b>Silinder Pejal</b><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya5b.gif" /><br />
<br />
<span style="color: red;"><b>Batang Tipis</b><br />
<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11momengaya5c.gif" /></span></span><br />
<div style="background-color: white; border: medium none; color: black; overflow: hidden; text-align: left; text-decoration: none;"><br />
Sumber <a href="http://fisikastudycenter.com/content/view/162/35/" target="_blank">Fisika Study Center</a></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-24807235901374899542012-01-10T18:55:00.000+07:002012-01-10T18:40:01.025+07:00Momentum Sudut<div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Momentum Sudut </span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Dinotasikan dengan L, satuannya kg.m<sup>2</sup>/s</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="192" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2024.jpg" width="200" /> </span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Pada gerak rotasi momen inersia <b>I</b> merupakan analogi dari massa <b>m</b> dan <b>ω</b> merupakan analogi dari kecepatan linier <b>v</b>, maka rumus momentum sudut untuk gerak rotasi dapat dituliskan:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img align="absMiddle" alt="" height="27" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no24c.gif" width="86" /><img alt="" height="15" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/panah.gif" width="17" /> p = m.v dan v = ω.r maka dihasilkan <img align="absMiddle" alt="" height="25" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no24a.gif" width="81" /> </span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Dengan L = momentum sudut dalam kg. m<sup>2</sup>/s ; I = momen inersia dalam kg.m<sup>2</sup> dan ω = kecepatan sudut dalam rad/s.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Momentum sudut merupakan besaran vektor, maka arah dari momentum sudut dari sebuah benda berotasi adalah seperti berikut:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Hubungan momentum sudut dengan momen gaya</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Analogi dengan hubungan impuls dan momentum maka hubungan momentum sudut dengan momen gaya dapat diperoleh :</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> dt = dL atau <img align="absMiddle" alt="" height="61" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no24b.gif" width="73" /> </span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;"> </span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> </span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;">dengan <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> = momen gaya dan dL/dt adalah turunan dari momentum sudut terhadap waktu</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Hukum Kekekalan Momentum Sudut</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Bila tidak ada gaya dari luar yang bekerja pada benda (<img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" />= 0) maka berlaku hukum kekekalan momentum sudut yaitu :</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">a. untuk satu benda</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="69" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no25a.gif" width="153" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">I<sub>1</sub> = momen inersia keadaan 1, ω<sub>1</sub> = kecepatan sudut keadaan 1, L<sub>1</sub> = momentum sudut keadaan 1<br />
I<sub>2</sub> = momen inersia keadaan 2, ω<sub>2</sub> = kecepatan sudut keadaan 2, L<sub>2</sub> = momentum sudut keadaan 2</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><b><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">b. untuk dua benda</span></span></span></b></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><b><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">I<sub>1</sub>. ω<sub>1</sub> + I<sub>2</sub>. ω<sub>2</sub> = ( I<sub>1</sub> + I<sub>2</sub> )ω </span></span></b><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img align="absMiddle" alt="" height="15" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/panah.gif" width="17" /> Bila arah gerak searah<br />
<b>I<sub>1</sub>. ω<sub>1</sub> - I<sub>2</sub>. ω<sub>2</sub> = ( I<sub>1</sub> + I<sub>2</sub> )ω</b> <img align="absMiddle" alt="" height="15" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/panah.gif" width="17" /> Bila arah gerak berlawanan arah</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">I<sub>1</sub> = momen inersia benda 1 dalam kg.m<sup>2</sup> ; ω<sub>1</sub> = kecepatan sudut benda 1 dalam rad/s<br />
I<sub>2</sub> = momen inersia benda 2 dalam kg.m<sup>2</sup> ; ω<sub>2</sub> = kecepatan sudut benda 2 dalam rad/s</span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;">ω = kecepatan sudut benda gabungan benda 1 dan benda 2 dalam rad/s</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Gerak Menggelinding</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Penerapan dari hukum kekekalan momentum sudut adalah :</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- peloncat indah</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- penari ballet</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- kursi putar</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="228" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2026.jpg" width="255" /> </span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Penari ballet berputar perlahan saat membentangkan tangannya. Ketika sang penari melipat tangannya di dada kecepatan putarannya bertambah, dan membentangkan kembali tangannya saat akan berhenti dari putaran. Pada kejadian ini berlaku hukum kekekalan momentum yaitu momentum sudut saat membentangkan sama dengan momentum sudut saat melipat tangannya.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Gerak menggelinding terjadi bila sebuah benda melakukan dua macam gerakan secara bersamaan yaitu gerak translasi dan gerak rotasi.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Contoh gerak menggelinding.<br />
Pada sebuah roda bekerja gaya sebesar F, benda bergerak pada bidang kasar. Dalam hal ini ada dua jenis gerakan, yaitu : gerak translasi dan gerak rotasi.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Gerak rotasi berlaku:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><blockquote dir="ltr" style="margin-right: 0px;"><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" />= I<img alt="" height="14" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/alpha.gif" width="12" /> <img align="absMiddle" alt="" height="15" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/panah.gif" width="17" /> f<sub>ges</sub> . R = I <img align="absMiddle" alt="" height="43" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no27a.gif" width="18" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="67" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no27b.gif" width="113" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> </span></span><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">Keterangan:<br />
a = percepatan dalam m/s<sup>2</sup><br />
f<sub>ges</sub> = gaya gesekan dalam Newton (N)<br />
R = jari-jari roda dalam m<br />
I = momen kelembaman dalam kg.m<sup>2</sup></span></i><span style="color: black;"></span></span></span></div></blockquote><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Gerak translasi berlaku:</span></span></span></div><blockquote dir="ltr" style="margin-right: 0px;"><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">ΣF = m.a</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">F – f<sub>ges</sub> = m.a </span></span></span></div></blockquote><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><blockquote dir="ltr" style="margin-right: 0px;"><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="67" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no27c.gif" width="105" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">Keterangan:</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">F = Gaya luar dalam newton (N)<br />
m = massa benda dalam kg</span></i><span style="color: black;"></span></span></span></div></blockquote><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Contoh kasus berikut ini.</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Sebuah roda ditarik oleh sebuah gaya sebesar 60 N pada tepi roda (gambar). Roda bergerak mengelinding pada lantai kasar dengan koeffisien gesekan kinetis 0,4. Jika massa roda 5 kg dan jari-jari roda 1 m tentukan besarnya percepatan roda !</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="185" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2028.jpg" width="250" /> </span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><b><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Penyelesaian :</span></span></b><span style="color: black;"><br />
<span style="font-family: Verdana; font-size: x-small;">Diket : F = 60 N<br />
R = 1 m<br />
m = 5 kg<br />
µ = 0,4<br />
Ditanya : a = …… ?</span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Jawab :</span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;"><img align="absMiddle" alt="" height="42" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no28a.gif" width="104" />= <img align="absMiddle" alt="" height="33" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/setengah.gif" width="17" />.5.1<i><sup>2</sup></i> = 2,5 kg.m<i><sup>2</sup></i></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> = I <img alt="" height="14" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/alpha.gif" width="12" /> <img align="absMiddle" alt="" height="15" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/panah.gif" width="17" /> ( F + f<sub>ges</sub> ). R = I <img align="absMiddle" alt="" height="43" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no27a.gif" width="18" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="49" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no28b.gif" width="386" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Pada gerak menggelinding berlaku hukum kekekalan energi mekanik</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no28c.gif" width="353" /> </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;">Sumber : <a href="http://www.e-dukasi.net/index.php?mod=script&cmd=Bahan%20Belajar/Materi%20Pokok/view&id=376&uniq=3109" target="_blank">E-Dukasi.Net </a></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"><br />
</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"><br />
</span></span></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-4505997418628086662012-01-10T18:34:00.000+07:002012-01-10T18:45:12.577+07:00Energi Kinetik Rotasi<div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Energi kinetik rotasi sebuah benda pejal dapat diturunkan dari energi kinetik translasi sebagai berikut:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no22a.gif" width="95" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">dengan</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;"> m = massa benda dalam kg;<br />
v = kecepatan linier benda dalam m/s<sup>2</sup><br />
E<sub>k</sub> = energi kinetik benda dalam joule.</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Mengingat v = ω R maka</span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="color: black; font-family: "Times New Roman","serif";"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="36" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no22b.gif" width="213" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="138" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2022.jpg" width="200" /></span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="color: black; font-family: "Times New Roman","serif";"><span style="font-family: Verdana; font-size: x-small;"> </span></span><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> </span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Karena <b style="mso-bidi-font-weight: normal;">mR<i><sup>2</sup></i></b> adalah momen inersia maka rumus energi kinetik rotasi dapat dirumuskan sebagai:</span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="61" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no22c.gif" width="153" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">dengan:</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">E<sub>k rot</sub> = energi kinetik rotasi dalam joule<br />
I = momen inersia benda dalam kg.m<sup>2</sup><br />
ω = kecepatan sudut dalam rad/s</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><b><span style="color: black;">Usaha dalam Gerak Rotasi</span></b><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Perhatikan gambar berikut ini !</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="108" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2022b.jpg" width="250" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Sebuah gaya F bekerja pada jarak R dari sumbu putar benda.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Usaha yang dilakukan oleh sebuah momen gaya <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> yang bekerja untuk merotasikan sebuah benda tegar sejauh dθ dapat diperoleh dari rumus gerak linier sebagai berikut:<br />
W = F.s = F. Rθ; karena F.R adalah momen gaya maka:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="33" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no23a.gif" width="81" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">dengan </span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;"> W = usaha gerak rotasi dalam joule<br />
<img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> = momen gaya dalam kg.m<br />
θ = sudut yang dibentuk dalam rad</span></i><span style="color: black;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="200" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2023.jpg" width="200" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Dalam gerak rotasi sebuah momen gaya melakukan kerja pada benda dan mengubah energi kinetik rotasinya sesuai dengan hubungan</span></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black; font-family: "Times New Roman","serif";"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="51" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no23b.gif" width="423" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black; font-family: "Times New Roman","serif";"><img alt="" height="59" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2023b.jpg" width="240" /> </span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Pada gerak rotasi juga berlaku hukum kekekalan energi mekanik jika resultan gaya luar sama dengan nol yaitu :<br />
E<sub>p</sub> + E<sub>k tran</sub> + E<sub>k rot</sub> = tetap<br />
E<sub>p1</sub> + E<sub>k tran 1</sub> + E<sub>k rot 1 </sub>= E<sub>p2</sub> + E<sub>k tran 2</sub> + E<sub>k rot 2 </sub><br />
atau </span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="49" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no23c.gif" width="261" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><i><span style="color: black;">dengan<br />
∆E<sub>p</sub> = perubahan energi potensial<br />
∆E<sub>k tran</sub><b> </b> = perubahan energi kinetik translasi</span></i><span style="color: black;"></span></span></span></div><i><span style="color: black; line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;">∆E<sub>k rot</sub> = perubahan energi kinetik rotasi</span></span></i><br />
<br />
<i><span style="color: black; line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;">Sumber : <a href="http://www.e-dukasi.net/index.php?mod=script&cmd=Bahan%20Belajar/Materi%20Pokok/view&id=376&uniq=3108" target="_blank">E-Dukasi.net</a></span></span></i><br />
<i><span style="color: black; line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"> </span></span></i><br />
<i><span style="color: black; line-height: 150%;"><span style="font-family: Verdana; font-size: x-small;"> </span></span></i>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-10279872906125329352012-01-10T18:28:00.000+07:002012-01-10T18:28:21.249+07:00Momen Inersia<div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">Momen Inersia Titik Partikel</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Dinotasikan dengan <strong>I</strong>, satuannya <strong>kg.m<sup>2</sup></strong><br />
Momen inersia suatu partikel adalah hasil kali massa partikel dengan kuadrat jarak terhadap sumbu putarnya dan dirumuskan dengan:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no16a.gif" width="97" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="155" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2016a.jpg" width="331" /> </span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Jika titik masa partikel lebih dari satu maka momen inersianya dapat dihitung dengan rumus:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN; mso-no-proof: yes;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no16b.gif" width="433" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">dimana:</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">I = momen inersia, satuannya kg.m<sup>2</sup><br />
m = massa partikel, satuannya kg<br />
r = jarak partikel terhadap sumbu putar, satuannya m</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="234" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2016b.jpg" width="220" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">Momen Inersia benda tegar</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;">Perhatikan gambar berikut ini!</span></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="210" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2017.jpg" width="220" /></span></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Sebuah elemen massa <strong>dm</strong> berjarak <strong>r</strong> terhadap sumbu rotasi. Apabila sebuah benda pejal terdiri dari distribusi materi yang kontinue, maka kita dapat menganggap benda terdiri dari sejumlah besar elemen massa dm yang tersebar merata. Momen Inersia benda adalah jumlah dari momen inersia semua elemen massa tersebut, <strong>r<sup>2</sup> dm</strong>. Untuk dm yang jumlahnya banyak, penjumlahan menjadi sebuah integral.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="63" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no17a.gif" width="100" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Dengan batas-batas integral yang dipilih sehingga mencakup seluruh benda.</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Besar momen Inersia tergantung pada:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Bentuk benda</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Massa benda</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Letak sumbu putarnya</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Momen Inersia untuk berbagai bentuk benda:</span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">a. Batang Homogen</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">- Diputar pada salah satu ujungnya:</span><span style="mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no18a.gif" width="108" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Diputar ditengah-tengahnya:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-bidi-font-style: italic; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no18b.gif" width="108" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">Dimana:<br />
m = massa batang, satuannya kg<br />
L = panjang batang, satuannya m</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">b. Cincin</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">- Berongga poros di pusat </span><span style="mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no16a.gif" width="97" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Pejal poros di pusat </span></span></span></div><div class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no19b.gif" width="108" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Pejal diputar pada salah satu sisi</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-bidi-font-style: italic; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no19c.gif" width="108" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">Keterangan:</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">m = massa cincin, satuannya kg<br />
R = jari-jari cincin, satuannya m</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">c. Silinder</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Silinder Berongga dengan poros melalui pusat</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no16a.gif" width="97" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 12pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Silinder Pejal dengan poros melalui pusat</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no19b.gif" width="108" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Silinder Berongga dengan 2 jari-jari dalam dan luar dengan poros melalui pusat</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no20.gif" width="164" /></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">dengan: </span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">m = massa silinder = kg<br />
R<sub>1</sub> = Jari-jari dalam = m<br />
R<sub>2</sub> = Jari-jari luar = m<br />
R = Jari-jari silinder berongga atau pejal</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">d. Bola</span></strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Bola Berongga dengan poros pusat bola</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no21a.gif" width="108" /></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">- Bola Pejal dengan poros pusat bola</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="46" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no21b.gif" width="108" /></span></span></div><div align="center" class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;">Selanjutnya untuk mencari momen inersia dari benda-benda yang bentuknya seperti di atas tetapi dengan sumbu putar pada jarak L dan sejajar dengan sumbu mula-mula, melalui poros massa, dapat digunakan rumus sumbu sejajar:</span></span></span></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><strong><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"><span style="font-family: Verdana;"><span style="font-size: x-small;"> <img alt="" height="61" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no21c.gif" width="177" /><span style="mso-no-proof: yes;"></span></span></span></span></strong></div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 13.5pt; margin: 0cm 0cm 0pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">dengan</span></em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;"></span></span></span></div><span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black; mso-bidi-font-family: `Times New Roman`; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: `Times New Roman`; mso-fareast-language: IN;">I = Momen Inersia yang baru dalam kg. m<sup>2</sup><br />
I<sub>0</sub> = momen inersia dengan poros melalui pusat massa dalam kg.m<sup>2</sup><br />
M = massa benda dalam kg<br />
L = jarak sumbu mula-mula melalui pusat massa dengan yang baru dalam m</span></em></span></span><br />
<br />
<span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black;">Sumber : <a href="http://www.blogger.com/goog_820208562">E-Dukasi.net</a></span></em></span></span><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;"><em><span style="color: black;"><a href="http://www.e-dukasi.net/index.php?mod=script&cmd=Bahan%20Belajar/Materi%20Pokok/view&id=376&uniq=3107" target="_blank"> </a></span></em></span></span>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-85285091153662850852012-01-10T18:19:00.005+07:002012-01-10T20:18:42.958+07:00Momen Gaya<div style="line-height: 12pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Dinotasikan dengan <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /> (tau), satuannya N.m.<br />
Benda dikenakan suatu gaya, salah satu akibatnya adalah terjadinya perubahan gerak pada benda tersebut, yaitu gerak rotasi atau gerak translasi. Hal ini dapat diartikan bahwa bila pada benda dikerjakan gaya, maka akan melakukan gerak rotasi saja atau melakukan rotasi dan translasi atau melakukan gerak translasi saja.</span></span></div><div style="line-height: 12pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Perhatikan gambar berikut!</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="120" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2012.jpg" width="250" /></span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Sebuah titik O dipengaruhi sebuah gaya F seperti gambar, momen gaya yang timbul dapat dirumuskan sebagai:</span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"></span></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="49" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no12b.gif" width="121" /></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <br />
Dengan <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" />= momen gaya, satuannya N.m<br />
F = gaya, satuannya N<br />
r = jarak titik O terhadap garis kerja gaya, satuannya meter</span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><br />
<span style="font-family: Verdana; font-size: x-small;">Untuk momen gaya karena pengaruh beberapa gaya, maka momen gaya totalnya dapat dihitung dengan menggunakan rumus:<br />
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<img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no12c.gif" width="121" /></span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Momen gaya yang mengakibatkan putaran searah jarum jam diberi tanda (+) positif sedangkan momen gaya yang menyebabkan putaran berlawanan dengan jarum jam diberi tanda (-) negatif.</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="101" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2013.jpg" width="373" /></span></div><div style="line-height: 12pt;"></div><div style="line-height: 12pt;"><span style="color: black;"></span><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Bila gaya bukan tegak lurus dapat dilakukan dengan</span></span></div><div style="line-height: 13.5pt; margin: 0cm 0cm 0pt 15pt; text-indent: -18pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;">a.<span style="font: 7pt "Times New Roman";"> </span></span><span style="color: black;">mengeser gaya sepanjang garis kerja gaya sehingga tegak lurus dengan posisi sumbu rotasi</span></span></span></div><div style="line-height: 13.5pt; margin: 0cm 0cm 0pt 15pt; text-indent: -18pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;">b.<span style="font: 7pt "Times New Roman";"> </span></span><span style="color: black;">menguraikan gaya atas komponen-komponennya</span></span></span></div><div style="line-height: 13.5pt; margin: 0cm 0cm 0pt 15pt; text-indent: -18pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;"></span></span></span></div><div style="line-height: 13.5pt; margin: 0cm 0cm 0pt 15pt; text-indent: -18pt;"><span style="font-family: Verdana;"><span style="font-size: x-small;"><span style="color: black;"></span></span></span><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Perhatikan animasi berikut ini !</span></span></div><br />
<embed src="http://www.swfcabin.com/swf-files/1326196444.swf" quality="medium" allowscriptaccess="always" bgcolor="#FFFFFF" wmode="opaque" type="application/x-shockwave-flash" pluginspage="http://www.macromedia.com/go/getflashplayer" align="middle" height="235" width="360"></embed><br />
<br />
Besarnya momen gaya yang dihasilkan dari gambar adalah<br />
<span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"><img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" />= F . r sin θ = 5 . 4 . sin 60 = 10 √3 N.m</span></span> <br />
<div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"><b><span style="color: black;">Kopel</span></b></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><br />
<span style="font-family: Verdana; font-size: x-small;">Momen kopel dinotasikan dengan M, satuannya N.m.<br />
Kopel adalah pasangan dua buah gaya sama besar berlawanan arah dan sejajar.<br />
Besarnya kopel dinyatakan dengan momen kopel (M). Momen Kopel adalah hasil kali salah satu gaya dengan jarak antara kedua gaya. Momen kopel merupakan besaran vektor dengan satuan N.m. Pengaruh kopel terhadap suatu benda dapat menyebabkan benda berotasi.</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Momen Kopel positif : searah dengan putaran jarum jam</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no14a.gif" width="186" /></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Momen Kopel negatif : berlawanan arah dengan putaran jarum jam</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="37" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/no14b.gif" width="209" /></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"><i><span style="color: black;">Keterangan:</span></i></span></div><div style="line-height: 13.5pt;"><i><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">M = Momen kopel, satuannya N.m<br />
F = Gaya, satuannya newton (N)<br />
d = jarak antara kedua gaya, satuannya meter (m)</span></span></i></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Contoh penerapan penggunaan kopel dalam kehidupan sehari-hari adalah pada prinsip kerja generator.</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="font-family: Verdana; font-size: x-small;"><b><span style="color: black;">Contoh Soal :</span></b></span></div><div style="line-height: 12pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Sebuah batang homogen dipengaruhi beberapa gaya seperti gambar berikut ini :</span></span></div><div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="89" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/hal%2015.jpg" width="250" /> </span></span></div><div style="line-height: 12pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Hitung besarnya momen gaya total yang dialami oleh titik B akibat dari pengaruh kedua gaya F<sub>1</sub> dan F<sub>2</sub>!</span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><br />
<span style="font-family: Verdana;"><span style="font-size: x-small;"><b>Jawab :</b><br />
<img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /><sub>1</sub> = F<sub>1</sub> . 2 = 20 . 2 = 40 N.m<br />
<img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /><sub>2</sub> = F<sub>2</sub> . 3 = 10 . 3 = 30 N.m</span></span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> Momen Gaya totalnya adalah</span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /><sub>B</sub> = <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /><sub>2</sub> - <img alt="" height="10" src="http://www.e-dukasi.net/file_storage/materi_pokok/MP_376/Image/tau.gif" width="10" /><sub>1</sub><br />
= 30 - 40<br />
= - 10 N.m</span></span></div><br />
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<div style="line-height: 13.5pt;"></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;">Sumber :<a href="http://www.e-dukasi.net/index.php?mod=script&cmd=Bahan%20Belajar/Materi%20Pokok/view&id=376&uniq=3106" target="_blank"> E-Dukasi.net</a></span></span><br />
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</div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> </span></span></div><div style="line-height: 13.5pt;"><span style="color: black;"><span style="font-family: Verdana; font-size: x-small;"> </span></span></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com1tag:blogger.com,1999:blog-3291317472112582293.post-53246835916312076712012-01-08T12:03:00.001+07:002012-01-10T19:06:07.836+07:00Pengantar Dinamika Rotasi Beda Tegar<div style="font-family: inherit; text-align: justify;"><div style="line-height: 12.25pt;"><span style="font-size: small;"><span style="color: black;">Alat apa yang digunakan oleh tukang bangunan saat memindahkan pasir, bata atau material yang lain dari satu tempat ke tempat yang lain?</span></span></div><span style="font-size: small;"> </span><div style="line-height: 12.25pt;"><span style="font-size: small;"><span style="color: black;">Alat apa yang digunakan oleh tukang tambal ban saat membuka ban sebuah mobil ?<br />
Pernahkah kalian bermain dengan yoyo? Apa yang terjadi saat yoyo tersebut meluncur ke bawah ?<br />
Bagaimana dengan katrol?<br />
Kalian akan dapat menjawab pertanyaan tersebut setelah mempelajari beberapa materi berikut ini, yaitu:</span></span></div><span style="font-size: small;"> </span><ul type="disc"><li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Gerak Rotasi Benda Tegar</span></li>
<li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Momen Gaya</span></li>
<li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Momen Inersia</span></li>
<li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Energi Kinetik Rotasi Benda Tegar</span></li>
<li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Hukum Kekekalan Momentum Sudut</span></li>
<li style="color: black; line-height: 12.25pt;"><span style="font-size: small;">Gerak Menggelinding</span></li>
</ul>Sebelumnya kita sudah mempelajari kinematika rotasi benda tegar. Dalam Kinematika Rotasi, kita hanya meninjau gerakan rotasi benda tegar tanpa mempersoalkan gaya yang menyebabkan benda tegar tersebut berotasi. Pada pokok bahasan ini dan selanjutnya, kita akan menganalisis gerakan rotasi benda tegar dan gaya yang mempengaruhinya atau istilah kerennya Dinamika Rotasi. Pembahasan kita terbatas pada gerakan benda tegar yang berotasi pada sumbu tetap, di mana gerak rotasi benda tersebut di amati dari kerangka acuan inersial.<br />
</div><div style="font-family: inherit;"><span id="more-4349"></span></div><div style="font-family: inherit;">Untuk membantumu memahami apa yang dimaksudkan dengan gerak rotasi pada sumbu tetap, pahami ilustrasi berikut ini.</div><div style="font-family: inherit;"><br />
</div><div style="font-family: inherit;">Mari tinjau dua benda yang melakukan gerakan rotasi, misalnya roda sepeda motor dan gasing.</div><div style="font-family: inherit;">Gambar Sepeda :</div><div style="font-family: inherit;"><br />
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</div><div class="post-header" style="font-family: inherit;"></div><div class="separator" style="clear: both; font-family: inherit; text-align: center;"><a href="http://4.bp.blogspot.com/-bGvUmM0wFpQ/TXMzdgs4D8I/AAAAAAAAAH4/hre6uAp2fm8/s1600/Animation.jpg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" border="0" height="190" id="BLOGGER_PHOTO_ID_5580860945329557442" src="http://4.bp.blogspot.com/-bGvUmM0wFpQ/TXMzdgs4D8I/AAAAAAAAAH4/hre6uAp2fm8/s200/Animation.jpg" style="display: block; height: 381px; margin: 0px auto 10px; text-align: center; width: 400px;" width="200" /></a></div><div class="post-body entry-content" id="post-body-5893303311593299118" style="font-family: inherit;"></div><div style="font-family: inherit;"><br />
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</div><div style="font-family: inherit;">Gambar Gasing : </div><div style="font-family: inherit;"><br />
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</div><div style="font-family: inherit;"><img alt="12973010511969207571" class="aligncenter size-medium wp-image-89341" height="199.8" src="http://stat.ks.kidsklik.com/statics/files/2011/02/12973010511969207571_300x199.8.jpg" title="12973010511969207571" width="300" /></div><div style="font-family: inherit;"><br />
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</div><div style="font-family: inherit;">Ketika kita mengendarai sepeda motor di jalan, roda sepeda motor tersebut berputar alias berotasi terhadap porosnya. Selama gerakannya, roda sepeda motor itu berputar pada poros alias sumbu yang sama. Berbeda dengan gasing yang berputar. Ketika berotasi, gasing juga mengitari sumbu alias porosnya, tetapi selama gerakannya, sumbu rotasi gasing selalu berubah-ubah. Kadang gasing berputar dengan posisi tegak, kadang posisinya miring, beberapa saat kemudian posisinya kembali tegak. Demikian seterusnya… ketika berotasi, gasing itu tidak berputar pada sumbu tetap. Sedangkan roda berputar pada sumbu tetap. Mudah-mudahan ilustrasi sederhana ini bisa membantumu memahami perbedaan antara gerak rotasi pada sumbu tetap dan gerak rotasi pada sumbu tidak tetap. Pembahasan kita kali ini hanya terbatas pada gerak rotasi benda tegar pada sumbu tetap. </div><div style="font-family: inherit; text-align: justify;"><br />
</div><div style="font-family: inherit; text-align: justify;">Terus kerangka acuan inersial tuh maksudnya bagaimana ?</div><div style="font-family: inherit; text-align: justify;">misalnya dirimu sedang berdiri di pinggir jalan. tiba-tiba ada sebuah mobil yang lewat di depanmu dengan kecepatan tertentu. di dalam mobil ada temanmu. dirimu dikatakan melihat mobil itu dari kerangka acua inersial, sedangkan temanmu berada dalam kerangka acuan tak-inersial. dalam hal ini, mobil berpindah posisi alias bergerak jika dilihat dari tempat kamu berdiri. sedangkan temanmu menganggap mobil itu diam, maksudnya posisinya terhadap mobil tidak berubah.</div><div style="font-family: inherit; text-align: justify;"><br />
</div><div style="font-family: inherit; text-align: justify;">Contoh lain. misalnya temanmu sedang mencuci motor kesayangannya. temanmu memutar roda sepeda motor sehingga roda sepeda motor itu berputar. jika dirimu berdiri di dekat temanmu dan mengamati roda sepeda motor yang berputar, maka dirimu melihat roda yang berputar itu dari kerangka acuan inersial. jadi dalam pembahasan dinamika rotasi yang akan kita pelajari, kita hanya menganalisis gerakan rotasi benda dalam kerangka acuan inersial.</div><div style="font-family: inherit;"><br />
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</div><div style="font-family: inherit;">Sumber : <a href="http://www.gurumuda.com/dinamika-rotasi" target="_blank">Guru Muda</a></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-75402586684819896902011-10-07T17:31:00.000+07:002011-12-29T23:44:24.877+07:00Software Pendukung untuk Membuat Media dan Modul Pembelajaran InteraktifHallo Komunitas Fisika Smadda...<br />
Untuk melengkapi tugas membuat Media Pembelajaran Berbasis ICT yang Interaktif ataupun Modul Pembelajaran Digital Interaktif sobat Fisika Smadda membutuhkan Software Pendukung, antara lain :<br />
<ol><li>Ispring Free yang berguna untuk menyisipkan file flash ke dalam powerpoint serta merubah file powerpoint menjadi file flash. Silahkan download softwarenya dengan klik <a href="http://www.ispringsolutions.com/free_powerpoint_to_flash_converter.html">disini</a></li>
<li>PDF Creator yang berguna sebagai printer softcopy dari artikel-artikel di Internet untuk dibaca offline sebagai referensi dalam membuat media pembelajaran selain itu juga dapat dibunakan untuk merubah file document(word) menjadi file pdf yang dapat diupload pada modul pembelajaran digital karena ukuran file menjadi jauh lebih kecil. Silahkan download softwarenya dengan klik <a href="http://www.pdfforge.org/download">disini </a></li>
<li>Image Optimizer yang berguna untuk mengkompres ukuran gambar menjadi jauh lebih kecil namun resolusi gambar tidak berubah jauh, sehingga lebih memudahkan anda untuk menyisipkan gambar ke dalam media pembelajaran ataupun modul digital. Silahkan download softwarenya dengan klik <a href="http://www.imageoptimizer.net/Pages/Home.aspx">disini</a>, gambar dapat dikompres secara offline ataupun online.</li>
<li>Xilisoft video converter ultimate yang berguna untuk mengedit video ataupun audio ke dalam format yang kompetible dengan powerpoint sehingga memudahkan anda untuk menyisipkan video atau audio hasil download dari Internet ke dalam powerpoint. Silahkan download softwarenya dengan klik <a href="http://nenyjos.blogspot.com/2011/10/editing-video-dengan-xilisoft-video.html">disini</a></li>
</ol>Masih banyak software-software pendukung yang lain yang layak sobat Fisika Smadda coba silahkan berkunjung ke<a href="http://nenyjos.blogspot.com/" target="_blank"> My Physics Web Blog</a>.<br />
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Selamat mencoba...FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-14552496390872334432011-10-06T23:28:00.000+07:002011-10-06T23:28:27.034+07:00Fenomena Aneh Melawan Hukum Gravitasi NewtonSatu lagi fenomena aneh alam yang menjadi tamparan keras bagi hukum Gravitasi Newton.<br />
Diwilayah Santa Cruz, California terdapat suatu fenomena alam yang sangat menakjubkan,dimana ditempat itu banyak terjadi kejanggalan yang mungkin membuat kita clingak-clinguk kebingungan kaya kera kenak tulup alias keheranan jika mengunjungi tempat tersebut.<br />
kenapa??..Pasalnya,ditempat yang merupakan hamparan hutan subur itu hukum gravitasi seakan-akan sudah tidak ada artinya sama sekali,semua pepohonan berdiri miring dengan arah kemiringan yang sama bahkan bisa dibilang hampir tumbang.Banyak orang yang menyebut tempat ini "titik misterius".<br />
Jika manusia berada disekitar "titik misterius" sekalipun, seluruh badannya tanpa dikehendaki juga ikut-ikutan miring,walaupun berusaha untuk berdiri dengan tegak,hasilnya akan sama saja.<br />
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Anehnya,walaupun dalam keadaan posisi yang miring dalam sekala yang besar,seluruh benda yang ada tidak akan terjatuh atau kehilangan keseimbangannya.Jika mencoba berjalan,langkah kita tetaplah stabil dan berjalan tanpa kesulitan walaupun dalam posisi miring.<br />
Bila berkunjung ketempat ini,kita bisa melihat keanehan-kenehan seperti rumah yang terlihat hapir roboh (padahal sebenarnya masih kokoh),sapu yang bisa berdiri sendiri dalam keadaan yang miring,manusia yang dapat berdiri ditembok,dan keanehan-keanehan lainnya.<br />
Parahnya lagi,dengan adanya fenomena ini,hewan-hewan hutan ngga' ada yang mau cangkrukan dan mencari makan disekitar "titik misterius",meraka mungkin ketakutan atau bagaimana?<br />
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<a href="http://s761.photobucket.com/albums/xx251/andikazulfa/spot5.jpg"><img alt="" border="0" height="240" src="http://s761.photobucket.com/albums/xx251/andikazulfa/spot5.jpg" style="display: block; height: 480px; margin: 0px auto 10px; text-align: center; width: 640px;" width="320" /></a></span><br />
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"Mystery Spot" bisa membuktikan akan kelemahan teori Gravitasi,Sir Issac Newton dengan hukum gravitasinya menyatakan bahwa semua benda akan ditarik kearah semua benda lainnya oleh kekuatan gravitasi.<br />
Kekuatan ini tergantung pada seberapa banyaknya zat yang tergantung dalam benda dan pada jarak diantaranya.<br />
Hukum itu menerangkan mengapa orbit planet dan bulan berbentuk elips.Hukum itu menerangkan juga gerak semua benda dalam alam semesta yang mahaluas.<br />
Dengan adanya fenomena ini,hukum gravitasi Newton yang bertahan kurang lebih selama 4 abad mungkin sudah saatnya untuk direvisi.<br />
Namun sampai saat ini,Para Ilmuwan belum dapat menjelaskan bagaimana fenomena ini bisa terjadi,mungkin masih menunggu beberapa waktu lagi untuk memecahkan misteri ini,atau mungkin kalian kalian yang belajar di fisika CS sudah mempunyai sebuah teori atau argumen untuk memberi pencerahan bagaimana fenomena ini bisa terjadi?<br />
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Memang kebanyakan berada di USA,tapi di wilayah Eropa juga dapat ditemui tempat seperti ini,contohnya disekitar Warsawa,Polandia.<br />
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hal serupa juga ada disebuah wilayah di China,namun yang ini berupa tanjakan jalan raya.Uniknya ditempat itu seluruh benda beroda/yang mudah menggelinding akan tertarik menuju keatas tanjakan,padahal jika dipikir secara logika hal tsb sangatlah tidak masuk akal.</span><br />
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<span class="fullpost">Sumber : <a href="http://morroniscool.blogspot.com/2010/07/fenomena-aneh-melawan-hukum-gravitasi.html">Morroniscool </a></span><br />
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<span class="fullpost"> </span>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-2101497070390529192011-10-06T22:35:00.000+07:002011-10-07T16:11:59.609+07:00Tugas Paparan Hukum Gravitasi NewtonHello Komunitas Fisika Smadda khusus untuk Kelas XI IPA 4 dan XI IPA 5,<br />
Buatlah paparan / presentasi powerpoint untuk KD 1.2 Hukum Gravitasi Newton yang komunikatif dan minimalis teks narasi .<br />
Yang berisi antara lain :<br />
<ol><li>Gaya Gravitasi</li>
<li>Kuat Medan Gravitasi</li>
<li>Energi Potensial Gravitasi</li>
<li>Potensial Gravitasi</li>
<li>Hukum Keppler </li>
<li>Aplikasi Medan Gravitasi</li>
</ol>File presentasi harus berisi /disertai/disisipi File Multimedia, antara lain :<br />
<ol><li>Gambar</li>
<li>Audio</li>
<li>Video</li>
<li>Animasi Interaktif SWF Flash</li>
</ol>Untuk menyisipkan file swf Flash gunakan plug in powerpoint yaitu Ispring Free, silahkan download Ispring Free dengan klik <a href="http://www.ispringsolutions.com/free_powerpoint_to_flash_converter.html">disini </a><br />
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Agar file paparan anda berukuran kecil sebaiknya jika menyertakan gambar maka gambar harus dikompres terlebih dahulu untuk itu gunakan<i><b> Image Optimizer</b></i>, silahkan klik <a href="http://www.imageoptimizer.net/Download.aspx">disini</a> untuk download softwarenya kemudian install pada komputer anda maka anda dapat mengkompres gambar secara offline atau klik <a href="http://www.imageoptimizer.net/Pages/Home.aspx">disini</a> untuk kompres ukuran gambar secara online dengan <i><b>Image Optimizer</b></i>.<br />
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Sebagai bahan referensi dari paparan yang anda buat anda dapat melakukan print softcopy materi-materi pelajaran yang anda butuhkan untuk dibaca kemudian secara offline dengan menggunakan <i><b>PDF Creator</b></i>, silahkan download dengan klik <a href="http://www.pdfforge.org/download">disini</a> kemudian install pada komputer anda.<br />
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Setelah file presentasi powerpoint anda jadi ubahlah file powerpoint anda tersebut menjadi file swf flash dengan menggunakan plug in powerpoint yaitu Ispring Free, silahkan klik <a href="http://nenyjos.blogspot.com/2010/01/membuat-bahan-ajar-dalam-format-flash.html">disini</a> dan atau <a href="http://bugishq.blogspot.com/2008/12/tips-trik-mengubah-file-powerpoint-ke.html">disini</a> untuk tutorialnya.<br />
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Berikut contoh file presentasi yang dibuat pada aplikasi powerpoint namun diubah menjadi file swf flash.<br />
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<embed align="middle" allowscriptaccess="always" bgcolor="#000000" height="435" pluginspage="http://www.macromedia.com/go/getflashplayer" quality="medium" src="http://www.swfcabin.com/swf-files/1317911222.swf" type="application/x-shockwave-flash" width="560" wmode="opaque"></embed><br />
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File presentasi anda akan di paparkan pada hari Rabu tanggal 12 Oktober 2011 pada jam pelajaran Fisika.<br />
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Selamat Mengerjakan and Do The Best...FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-12066409996912336102011-10-06T21:36:00.000+07:002011-10-06T21:44:13.806+07:00Nilai Ulangan Harian I Kelas XI IPADibawah ini daftar Nilai Fisika Ulangan Harian I Kelas XI IPA untuk KD 1.1 (Gerak Lurus & Gerak Rotasi)dengan <b><span style="color: red;">KKM 75</span></b>.<br />
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<iframe frameborder="0" height="300" src="https://docs.google.com/spreadsheet/pub?hl=en_US&hl=en_US&key=0Ag4KUGb8YsK6dHhrSVA2Z19TNTZyMzNMa2NISTVXdnc&output=html&widget=true" width="500"></iframe><br />
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Silahkan diricek nilai anda, dan apabila ada kesalahan silahkan berikan komentar di kotak komentar pada artikel ini atau berikan komentar pad FB Fisika Smadda.<br />
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Untuk siswa-siswi yang masih belum ada nilainya silahkan berikan komentar di kotak komentar pada artikel ini atau berikan komentar pad FB Fisika Smadda.<br />
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Data diupdate tanggal 29 September 2011 pukul 00.15 wib<br />
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Best Regards.FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com5tag:blogger.com,1999:blog-3291317472112582293.post-51732414310142937602011-10-02T22:56:00.000+07:002011-10-02T22:56:26.972+07:00Hukum Gravitasi Newton Dalam Hubungan Antar Manusia<div id="mydate"><br />
<span class="post-comment-link" style="visibility: visible;"></span></div><div class="addthis_toolbox addthis_default_style "> <a class="atc_s addthis_button_compact" href=""><span></span></a> </div><div class="separator" style="clear: both; font-family: "Trebuchet MS",sans-serif; text-align: center;"><a href="http://4.bp.blogspot.com/-tsQ9MLaVnLo/TahY5b_bt_I/AAAAAAAAArY/wNce-CG20iI/s1600/gravity.gif" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="256" src="http://4.bp.blogspot.com/-tsQ9MLaVnLo/TahY5b_bt_I/AAAAAAAAArY/wNce-CG20iI/s320/gravity.gif" width="320" /></a></div><a href="http://bbasa-bbasi.b-insite.com/2011/04/terapan-hukum-gravitasi-newton-dalam.html" name="more" style="font-family: "Trebuchet MS",sans-serif;"></a><span style="font-family: "Trebuchet MS",sans-serif;">Hukum gravitasi newton menyatakan bahwa gaya tarik menarik antar benda sebanding dengan hasil kali masa kedua benda dan berbanding terbalik dengan kuadrat jarak keduanya F=G(m1*m2)/r^2</span><a href="" name="more"></a><span style="font-family: "Trebuchet MS",sans-serif;"> </span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> Dari persamaan di atas bila diterapkan dalam hubungan antar manusia dapat dijabarkan sebagai berikut.</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> m1, merupakan bobot kepedulian pihak1</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> m2, merupakan bobot kepedulian pihak2</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> r, merupakan jarak batin hubungan antara pihak1 dan pihak2</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> G, merupakan ketetapan yang telah disepakati kedua belah pihak</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> F, merupakan gaya tarik menarik (intimitas) hubungan manusia</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> </span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> itu artinya makin besar bobot kepedulian masing masing pihak maka intimitasnya makin besar pula</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> makin kecil jarak batin hubungan kedua belah pihak maka makin besar intimitasnya.</span><br style="font-family: "Trebuchet MS",sans-serif;" /><span style="font-family: "Trebuchet MS",sans-serif;"> Dengan catatan, semua pihak telah sepakat terhadap aturan main dalam hubungan mereka.</span><br />
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<span style="font-family: "Trebuchet MS",sans-serif;">Sumber : <a href="http://bbasa-bbasi.b-insite.com/2011/04/terapan-hukum-gravitasi-newton-dalam.html">Save Our Soul </a></span><br />
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<span style="font-family: "Trebuchet MS",sans-serif;"> </span>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com1tag:blogger.com,1999:blog-3291317472112582293.post-31040802709958964792011-10-02T22:53:00.000+07:002011-10-02T22:53:09.429+07:0010 Rumah Yang Melawan Gravitasi<span style="font-weight: bold;">1. Wozoco Apartemen (Amsterdam-Osdorp, Belanda)</span><br />
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Sebuah menggagalkan hukum dan cetak biru zonasi adalah inspirasi untuk kompleks apartemen. Peraturan perumahan Belanda membutuhkan konstruksi apartemen untuk menyediakan sejumlah siang hari untuk penyewa mereka-tapi arsitek MVRDV lupa untuk merencanakan untuk itu. Solusi mereka? Untuk menggantung tiga belas dari 100 unit dari fasad utara blok. Desain cerdas menghemat ruang lantai dasar dan memungkinkan sinar matahari yang cukup untuk masuk ke fasad timur atau barat.<br />
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<a href="http://2.bp.blogspot.com/--YEOE4z20Ew/TZLcPOv9POI/AAAAAAAAJgc/LiYR3zmGwQc/s1600/bangunan1.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772241735597282" src="http://2.bp.blogspot.com/--YEOE4z20Ew/TZLcPOv9POI/AAAAAAAAJgc/LiYR3zmGwQc/s400/bangunan1.jpg" style="cursor: pointer; display: block; height: 400px; margin: 0px auto 10px; text-align: center; width: 300px;" /></a><br />
<span style="font-weight: bold;">2. Floating Castle (<span class="IL_AD" id="IL_AD1">Ukraine</span>)</span><br />
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<a href="http://2.bp.blogspot.com/-qzhGG-tepKw/TZLcPDLNW7I/AAAAAAAAJgk/sqxf9K5CnMg/s1600/bangunan2.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772238628674482" src="http://2.bp.blogspot.com/-qzhGG-tepKw/TZLcPDLNW7I/AAAAAAAAJgk/sqxf9K5CnMg/s400/bangunan2.jpg" style="cursor: pointer; display: block; height: 400px; margin: 0px auto 10px; text-align: center; width: 265px;" /></a>Didukung oleh kantilever tunggal - dan cukup dibahas di Panoramio, rumah ini misterius melayang pertanian termasuk dalam sebuah film sci-fi. Ini diklaim sebagai bunker tua untuk overload pupuk mineral tapi kami yakin ada cerita yang lebih baik kembali ... arsitek asing mungkin memiliki tangan di dalamnya.<br />
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<span style="font-weight: bold;">3. Habitat 67 (Montreal, Canada)</span><br />
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<a href="http://4.bp.blogspot.com/-e4VRoPs9tLQ/TZLcPmltYiI/AAAAAAAAJgs/KdPlHhzpChw/s1600/bangunan3.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772248135066146" src="http://4.bp.blogspot.com/-e4VRoPs9tLQ/TZLcPmltYiI/AAAAAAAAJgs/KdPlHhzpChw/s400/bangunan3.jpg" style="cursor: pointer; display: block; height: 271px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Apartemen terhubung dan menumpuk seperti balok-balok Lego di Montreal Habitat 67. Tanpa konstruksi vertikal tradisional, apartemen memiliki ruang terbuka yang paling perkotaan kurangnya tempat tinggal, termasuk teras terpisah untuk setiap apartemen.<br />
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<span style="font-weight: bold;">4. Free Spirit Spheres (British Columbia, Canada)</span><br />
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<a href="http://2.bp.blogspot.com/-U-IWFLwXC6o/TZLcPpwn34I/AAAAAAAAJg0/8fk6cS6ELA8/s1600/bangunan4.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772248986148738" src="http://2.bp.blogspot.com/-U-IWFLwXC6o/TZLcPpwn34I/AAAAAAAAJg0/8fk6cS6ELA8/s400/bangunan4.jpg" style="cursor: pointer; display: block; height: 299px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Free Roh Spheres dapat digantung dari pohon seperti ditunjukkan, membuat rumah pohon. Mereka juga dapat digantung dari benda padat lainnya atau ditempatkan dalam buaian di tanah. Ada empat poin lampiran di bagian atas setiap lingkup dan empat lagi titik jangkar di bagian bawah. Setiap titik sambungan cukup kuat untuk menopang seluruh lingkup dan isi.<br />
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Lingkup terbuat dari dua laminasi strip kayu lebih dari bingkai kayu lamina. Permukaan luar kemudian selesai dan ditutup dengan fiberglass jelas. Hasilnya adalah kulit yang indah dan sangat tangguh. Kulit tahan air dan cukup kuat untuk mengambil dampak yang datang dengan hidup dalam lingkungan yang dinamis seperti hutan.<br />
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<span style="font-weight: bold;">5. Cube <span class="IL_AD" id="IL_AD3">House</span> (Rotterdam, Netherlands)</span><br />
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<a href="http://2.bp.blogspot.com/-aRmssRLkSaw/TZLcP8Am1TI/AAAAAAAAJg8/HB0c_K-i_kg/s1600/bangunan5.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772253885027634" src="http://2.bp.blogspot.com/-aRmssRLkSaw/TZLcP8Am1TI/AAAAAAAAJg8/HB0c_K-i_kg/s400/bangunan5.jpg" style="cursor: pointer; display: block; height: 255px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Tinggal di rumah miring jauh lebih mudah daripada yang terlihat-hanya meminta orang-orang yang tinggal di rumah Kijk-Kubus. Arsitek Piet Blom tip rumah konvensional empat puluh lima derajat dan beristirahat itu pada tiang berbentuk segi enam sehingga tiga sisi menghadap ke bawah dan wajah tiga lainnya langit. Masing-masing rumah kubus mengakomodasi tiga lantai: ruang hidup termasuk studi, dapur dan kamar mandi, lantai kamar tidur dan rumah-rumah menengah atas adalah ruang piramida yang dapat bertindak seperti loteng atau dek melihat. Rumah-rumah ini cukup mahal, namun Anda dapat memuaskan rasa ingin tahu Anda dengan mengunjungi rumah menunjukkan museum.<br />
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<span style="font-weight: bold;">6. Gangster's House (Archangelsk, Russia)</span><br />
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<a href="http://2.bp.blogspot.com/-m0B66RdHs8Q/TZLcZ-EC8oI/AAAAAAAAJhE/qUcHrwHAy64/s1600/bangunan6.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772426235015810" src="http://2.bp.blogspot.com/-m0B66RdHs8Q/TZLcZ-EC8oI/AAAAAAAAJhE/qUcHrwHAy64/s400/bangunan6.jpg" style="cursor: pointer; display: block; height: 267px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Rumah satu kali gangster Rusia Nikolai Sutyagin sudah tentu tidak biasa. Para mantan narapidana's eksentrik tampaknya proyek 15 tahun kebetulan dimulai pada tahun 1992 berdiri 13 lantai, 144 meter tingginya. Dia mengaku dia hanya bermaksud untuk membangun sebuah rumah dua lantai - lebih besar daripada tetangga-tetangganya untuk mencerminkan posisi sebagai orang terkaya kota.<br />
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<span style="font-weight: bold;">7. Mushroom House (Cincinnati, Ohio)</span><br />
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<a href="http://3.bp.blogspot.com/-MACY0daof1I/TZLcaOfSw_I/AAAAAAAAJhM/-pIEqZi0s1Y/s1600/bangunan7.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772430644265970" src="http://3.bp.blogspot.com/-MACY0daof1I/TZLcaOfSw_I/AAAAAAAAJhM/-pIEqZi0s1Y/s400/bangunan7.jpg" style="cursor: pointer; display: block; height: 305px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Jadi berbeda di material dan bentuk rumah ini gado-gado tampak seperti yang telah dilas dan direkatkan. Tapi ini tidak ada konstruksi-batak, itu dirancang oleh profesor arsitektur dan desain interior di Universitas Cincinnati, Terry Brown, dan baru-baru ini di pasar untuk sekitar $ 400K.<br />
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<span style="font-weight: bold;">8. Upside-Down House (Syzmbark, Poland)</span><br />
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<a href="http://3.bp.blogspot.com/-YxD8nZS69tQ/TZLcaTepBlI/AAAAAAAAJhU/iaw_j_zY6Gc/s1600/bangunan8.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772431983707730" src="http://3.bp.blogspot.com/-YxD8nZS69tQ/TZLcaTepBlI/AAAAAAAAJhU/iaw_j_zY6Gc/s400/bangunan8.jpg" style="cursor: pointer; display: block; height: 320px; margin: 0px auto 10px; text-align: center; width: 400px;" /></a>Ini terbalik desain tampaknya benar-benar masuk akal-tapi itu adalah persis pesan dermawan Polandia dan desainer, Daniel Czapiewski, berusaha untuk mengirim. Pembangunan tidak stabil dan terbelakang dibangun sebagai komentar sosial pada era mantan Komunis Polandia. Monumen bernilai perjalanan baik untuk sebuah pelajaran sejarah atau keseimbangan.<br />
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<span style="font-weight: bold;">9. Pod House (<span class="IL_AD" id="IL_AD2">Rochester</span>, <span class="IL_AD" id="IL_AD5">New York</span>)</span><br />
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<a href="http://2.bp.blogspot.com/-ehqyKBCyTsI/TZLcaYwkIyI/AAAAAAAAJhc/LjlujuNeyLw/s1600/bangunan9.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772433401062178" src="http://2.bp.blogspot.com/-ehqyKBCyTsI/TZLcaYwkIyI/AAAAAAAAJhc/LjlujuNeyLw/s400/bangunan9.jpg" style="cursor: pointer; display: block; height: 400px; margin: 0px auto 10px; text-align: center; width: 320px;" /></a>Kami berasumsi ini pulang eksentrik adalah UFO-terinspirasi, tapi ternyata renda rumput Queen Anne's adalah di mana ia mendapat itu akar. Its tipis batang polong dukungan dengan jalan setapak interkoneksi.<br />
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<span style="font-weight: bold;">10. Heliotrope Rotating House (Freiburg, Germany)</span><br />
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<a href="http://3.bp.blogspot.com/-q3xOxESURnY/TZLcah3k9mI/AAAAAAAAJhk/qrl-CzC13kE/s1600/bangunan10.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5589772435846395490" src="http://3.bp.blogspot.com/-q3xOxESURnY/TZLcah3k9mI/AAAAAAAAJhk/qrl-CzC13kE/s400/bangunan10.jpg" style="cursor: pointer; display: block; height: 400px; margin: 0px auto 10px; text-align: center; width: 320px;" /></a><br />
Hijau untuk ekstrim, Arsitek Rolf Disch membangun sebuah rumah tenaga surya yang berputar ke arah matahari hangat di musim dingin dan berputar kembali ke belakang dengan baik-terisolasi di musim panas. Sebuah rumah yang berputar-putar tidak terdengar terlalu stabil untuk kami, tapi bagi lingkungan patut risiko.<br />
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<span style="font-size: 78%;">Sumber : <a href="http://28c17e7b.linkbucks.com/">Anam78</a></span><br />
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<span style="font-size: 78%;"> </span>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-90669845399851325372011-10-02T22:40:00.000+07:002011-10-02T22:46:33.088+07:00Medan Gravitasi<div style="color: red; text-align: justify;"><b> </b><img alt="" class="alignleft size-full wp-image-1611" src="http://gurumuda.files.wordpress.com/2008/09/imagesa1.jpg?w=150&h=113" style="height: 144px; width: 191px;" title="solar system" /></div><div style="color: red; text-align: justify;"></div><div style="color: red; text-align: justify;"><b>Perumusan Gravitasi Newton</b> </div><div style="text-align: justify;">Sebelum tahun 1686, sudah banyak data terkumpul tentang gerakan bulan dan planet-planet pada orbitnya yang mendekati bentuk lingkaran, tetapi belum ada suatu penjelasan pada saat itu yang mampu menjelaskan mengapa benda-benda angkasa bergerak seperti itu. Pada tahun 1686 inilah Sir Isaac Newton memberikan kunci untuk menguak rahasia tersebut, yaitu dengan menyatakan hukum tentang gravitasi.</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Menurut suatu cerita, ketika itu Newton sedang duduk santai di taman rumahnya dan memperhatikan sebuah apel yang jatuh dari pucuk pohon. Tiba-tiba saja timbul inspirasinya bahwa jika gaya gravitasi bumi bekerja pada pucuk pohon, dan bahkan pada puncak gunung, gaya gravitasi bumi tentu saja dapat bekerja pada bulan. Berdasarkan ide gravitasi bumi inilah Newton dengan bantuan dan dorongan sahabatnya, Robert hooke, menyusun hukum gravitasi. </div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Newton menyatakan teori Gravitasi yang berbunyi:</div><div style="text-align: justify;">”Setiap benda di alam semesta menarik benda lain dengan suatu gaya yang besarnya sebanding dengan hasil kali kedua massa benda yang terlibat dan berbanding terbalik dengan kuadrat jarak antara keduanya. Gaya ini bekerja sepanjang garis yang menghubungakan kedua benda itu.”</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Secara matematis, besarnya gaya gravitasi dirumuskan sebagai:</div><div class="separator" style="clear: both; text-align: center;"></div><div style="text-align: justify;"><span lang="id"><span class="hps" title="Click for alternate translations">Setiap partikel</span> <span class="hps" title="Click for alternate translations">di alam semesta</span> <span class="hps" title="Click for alternate translations">menarik</span> <span class="hps" title="Click for alternate translations">setiap partikel</span> <span class="hps" title="Click for alternate translations">lain dengan</span> <span class="hps" title="Click for alternate translations">kekuatan yang</span> <span class="hps" title="Click for alternate translations">berbanding lurus dengan</span> <span class="hps" title="Click for alternate translations">produk dari</span> <span class="hps" title="Click for alternate translations">massa</span> <span class="hps" title="Click for alternate translations">mereka dan</span> <span class="hps" title="Click for alternate translations">berbanding terbalik dengan</span> <span class="hps" title="Click for alternate translations">jarak antara mereka</span></span></div><div style="text-align: justify;"><span lang="id"><span class="hps" title="Click for alternate translations"><a href="http://veethaadiyani.blog.uns.ac.id/files/2011/06/picture1.png"><img alt="f=g*m*m/r2" class="aligncenter size-full wp-image-273" height="51" src="http://veethaadiyani.blog.uns.ac.id/files/2011/06/picture1.png" width="102" /></a></span></span></div><div style="text-align: justify;"><span lang="id"><span class="hps" title="Click for alternate translations">Setiap partikel</span> <span class="hps" title="Click for alternate translations">di alam semesta</span> <span class="hps" title="Click for alternate translations">menarik</span> <span class="hps" title="Click for alternate translations">setiap</span> <span class="hps" title="Click for alternate translations">partikel lain</span> <span class="hps" title="Click for alternate translations">dengan G</span> <span class="hps" title="Click for alternate translations">adalah</span> <span class="hps" title="Click for alternate translations">konstanta</span> <span class="hps" title="Click for alternate translations">gravitasi</span> <span class="hps" title="Click for alternate translations">universal </span></span><span lang="id"><span class="hps" title="Click for alternate translations">(G = </span><span class="hps" title="Click for alternate translations">6,673</span> <span class="hps" title="Click for alternate translations">x</span> <span class="hps" title="Click for alternate translations">10<sup>-11</sup></span> <span class="hps" title="Click for alternate translations">N</span> <span class="hps" title="Click for alternate translations">m<sup>2</sup></span> <span class="hps" title="Click for alternate translations">/</span> <span class="hps" title="Click for alternate translations">kg<sup>2</sup>). Hal ini merupakan</span> <span class="hps" title="Click for alternate translations">contoh dari</span> <span class="hps" title="Click for alternate translations">hukum kuadrat terbalik.</span> <span class="hps" title="Click for alternate translations">Besarnya</span> <span class="hps" title="Click for alternate translations">gaya</span> <span class="hps" title="Click for alternate translations">bervariasi, </span><span class="hps" title="Click for alternate translations">kuadrat terbalik</span> <span class="hps" title="Click for alternate translations">dari</span> <span class="hps" title="Click for alternate translations">pemisahan</span> <span class="hps" title="Click for alternate translations">partikel</span><span class="hps" title="Click for alternate translations">. Hukum juga</span> <span class="hps" title="Click for alternate translations">dapat dinyatakan dalam</span> <span class="hps" title="Click for alternate translations">bentuk vektor:</span></span></div><div style="text-align: justify;"><span lang="id"><span class="hps" title="Click for alternate translations"><a href="http://veethaadiyani.blog.uns.ac.id/files/2011/06/picture2.png"><img alt="rumus gaya gravitasi vektor" class="aligncenter size-full wp-image-276" height="43" src="http://veethaadiyani.blog.uns.ac.id/files/2011/06/picture2.png" width="129" /></a></span></span></div><div style="text-align: justify;"><span class="short_text" lang="id"><span class="hps" title="Click for alternate translations">catatan:</span></span></div><ul><li><span lang="id"><span class="hps" title="Click for alternate translations">F<sub>12</sub></span> <span class="hps" title="Click for alternate translations">adalah gaya</span> <span class="hps" title="Click for alternate translations">yang diberikan oleh</span> <span class="hps" title="Click for alternate translations">partikel</span> <span class="hps" title="Click for alternate translations">1</span> <span class="hps" title="Click for alternate translations">pada partikel</span> <span class="hps" title="Click for alternate translations">2</span></span></li>
</ul><ul><li><span lang="id"> <span class="hps" title="Click for alternate translations">Tanda negatif</span> <span class="hps" title="Click for alternate translations">dalam bentuk</span> <span class="hps" title="Click for alternate translations">vektor</span> <span class="hps" title="Click for alternate translations">dari persamaan</span> <span class="hps" title="Click for alternate translations">menunjukkan</span> <span class="hps" title="Click for alternate translations">bahwa partikel</span> <span class="hps" title="Click for alternate translations">2</span> <span class="hps" title="Click for alternate translations">tertarik</span> <span class="hps" title="Click for alternate translations">terhadap</span> <span class="hps" title="Click for alternate translations">partikel</span> <span class="hps" title="Click for alternate translations">1</span></span></li>
</ul><ul><li><span lang="id"> <span class="hps" title="Click for alternate translations">F<sub>21</sub></span> <span class="hps" title="Click for alternate translations">adalah gaya</span> <span class="hps" title="Click for alternate translations">yang diberikan oleh</span> <span class="hps" title="Click for alternate translations">partikel</span> <span class="hps" title="Click for alternate translations">2</span> <span class="hps" title="Click for alternate translations">pada partikel</span> <span class="hps" title="Click for alternate translations">1</span></span></li>
</ul><span lang="id"><span class="hps" title="Click for alternate translations"><br />
</span></span><br />
<span lang="id"><span class="hps" title="Click for alternate translations"><b><span style="font-size: small;">Tentang Gaya:</span></b></span></span><br />
<ul style="text-align: justify;"><li><span lang="id"><span class="hps" title="Click for alternate translations">F<sub>12</sub></span> <span class="hps" title="Click for alternate translations">= </span><span class="atn" title="Click for alternate translations">-</span><span title="Click for alternate translations">F<sub>21</sub></span></span><span lang="id"> (Gaya pada Hukum <span class="hps" title="Click for alternate translations">Ketiga</span> <span class="hps" title="Click for alternate translations">Newton</span> <span class="hps" title="Click for alternate translations">merupakan</span> <span class="hps" title="Click for alternate translations">pasangan aksi-reaksi</span>)</span><span lang="id"></span></li>
<li><span lang="id"><span class="hps" title="Click for alternate translations">Gravitasi</span> <span class="hps" title="Click for alternate translations">adalah medan gaya</span><span class="hps" title="Click for alternate translations"> yang</span> <span class="hps" title="Click for alternate translations">selalu ada</span> <span class="hps" title="Click for alternate translations">antara dua</span> <span class="hps" title="Click for alternate translations">partikel</span><span title="Click for alternate translations">,</span> tanpa memperhatikan <span class="hps" title="Click for alternate translations">media</span> di<span class="hps" title="Click for alternate translations"> antara mereka.</span></span><span lang="id"></span></li>
<li><span class="hps" title="Click for alternate translations">Gaya berbanding terbalik dengan kuadrat jarak (</span><span lang="id"><span class="hps" title="Click for alternate translations">konsekuensi dari</span> <span class="hps" title="Click for alternate translations">hukum kuadrat terbalik)</span></span></li>
</ul><img alt="" height="173" 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LuBeoI5XfbTG7zX5O0Xlu8S0n1CtnlaIc4oxmlF7JRC85Q8VShQhUL1lDzvxQU9V6bsGrxq3ZNpTeNrd9T5bL7/sEEYDEBjweXqh4uLywlDpM3Unj17EhMTX3vttXvvvffHP/7xrbfeOmDAgNtuu+3GG2+88MILb7rppoEDBz7xxBPvv//+zJkzDx48iJCllW3btm1/Vfxq7ty511xzzUMPPdTb2xs+h78EQKT2cHFCyPJ9wYIFgwcPHjp0aF1dXfhV/Ml/rn433H1BePOH48Cx4JggBojJQ1sMlIIR2AwysB/I8lhvNH5xQ1rDGQktQs4hoVwXiqlQDCEfQh6EbEfINYVC/bRC6ScV4qlRawYmbR6a2PrH/K2pfmwA9gMiuFYQMB5CMwCDwXL1w8XF5QRC0zR+o9+7d++0adNeeOGFN998c9KkSZMnT54yZcq0adOmTZs2ZcqUyZMnT5o06bXXXnv22Wc/+eST3bt3A6CUhjs2voq5c+def/31jz76qM/ni4x6cYNeRATBeFKdb242btz46KOPXn755XPmzMG390X/jghVW9HQIhYck9kW33VogJ/CQ+EBeoFDQKGM95vVOxJar4pvvjh39xmF+4Wiw0Kp/6xKW8hVhHTltBy7XwFOKWRCGfqX61cta7pzedVzRVvmHTBagX1AF3BYp8EwX+R0W7d/0NUPF5cTDcMwwl/k/X4/b/LgHlaRefWwXZXP5+vt7eW3fl5h9fXXP65+RM6Pikxm8BPa29uHDx9+0003JSUlAZBl+XvRDwZqwiAwARO2SmSRiQEYNu/nMAz0WvAAh4BdQGqPPLJx/33pe3+yfM85cdvPSth7Vl6nUNAl5HcJhb2nFHhPzfaclePrX6hclK+eldYjJLRftHTL63UHFn3uqbfxObAPaLd52jxU6EUoyNFzbU9uXP1wcTnh4O1+kbfjSPHgcAmJfAlPXfzTi3+NfkReU5IkfrCrq+udd9655557UlNT+Qk8zf6f1w8HNAC9F5IMhcICcWBRKICXwQQh8AF7gBKGyW3SE5Xr/ieh8syEnaenec7PVS8qNC8ssM7O10/PU0/Jl04rCpxdKvYv9VyUtf+SFZuuWbnp8ZLO0evFOhmHGHoBbsErG45jEVAElcOhfcYlrn64+uHickJhGAZ/EhYMQsjXzPsLBALhu3b41v/1/rhfFb9yHCc8EYRfhDEmSdLf/va3N954gxdc8TO5a+9/Xj8sUD90DzQJhgUKGrQhYSocAh/QYmDeF9b/le78aWJd/+Tac3K3nlbY1a/cPLvY7pehnp4sn5mmnZWln5Etn5XvPzunvX/G9gHpGx7J2zSqtaPAj0OACCgUomnrfHgtpTAtIopwHDh8/wF3/xHG1Q8XlxMO/jX/6wePH3PkuHOijsvX6Ae/Trhz0OfzffTRR9OmTQsnV7gyqar6vegHAZVhyqAaoDB4NKdbhQh4gK0WEg7ir5WH74jfdMWK1vOSt/fL3X9q8REhv/2U/K5TM3tOS/acn6pelst+lM8uzlbPTjjUP37bkOzNr65vSxfZfkAGTOIYpk0IAwMcQnQTuhHceQQjVzQsG658wNUPF5cTEH4vNk1TlmVVVb9GGBhjmqbJshyeYf5POa5+hDMu4VGDbW1tc+fOHT9+PD/e3t7On3R1deF7y58DDIRCI8He8nag3kRSL95ac+SX+buvXr7hgmVb+2d3XVRhnl3uCAXKKQXe0/I9Z+b5LsiXfpSvXpkl/SSl+39W7b09fd9za3rmd7Aa4DAgA4DCTC9PxfMIFTUcopt9rr6sb+w5Aw33oJzMuPrh4nICwS2tvnycby947oHbs39Vvzch5OtLsI6rH1wzdF3nTw4dOhQbGztu3LhjJIG/AXxf+sFLrEQQBTKwF8jR8PaWg8Pymy6Mrzk7ffOZeYf6FYr9Cu1+BeiXi365ODWPCDnyaXmBc/J6zkvdd9mqTUNTt/6p5POYPfoaDV2ACIggMlEsqA5MAlAK2wYJNShSAtMgiOhVJHAIHAc2geP2n7u4uJxwcMtb/vxrsuLhfQO3WfwmVz6ufvAn4chVTEzMiBEjOjo6PB5PZ2fn/v3729ravF5vR0fH/v37Ozo6vkI+SOSEjIjJHEd/T49IHkR8iw+P9qP8lPC1+k6gID7Aggw0yhjb2nZvRt2lCdWnpzUJBXuEsm6hQhVKLSHXEdIdIQ2nZaB/oXNhnu/SvK6rcg9em7bpofwt0/aqG4BO7kfiwNYsRi0G04QpUlW2iUGC/ygBGAOjoKTvXRPQUMeJ7YST6QxHra+DfosVWS7MQv/QMbBvfs3vHlc/XFz+m/nynuD999+/4YYbHnvssYaGBgC6rnPx6O3t5SdkZWU9+eSTd9111wMPPPDII4/ceeedw4YNGzZs2P333//YY49dddVVr7766lfsPmxAB1QGlUEnMAlsAoeAOmCUvxeKPgcSCoUyCdRkNmCGJ45TEBPQghNkoVJuk+4YQCdQrWH8es+v8jZfldx6ZuoWIb/91EpdKHeEQkvI1IRs89RickYZPaVYPzW76+r8gz9Z2Xh1XMVjuZum7tGqCfYBXQwmi5A5QhhsG7YBwjsDrUh/RtL3nhmDA2aAqWAKmM5/Rx1QnhoJLVDQ4F/kS7Jig5nHX0QH0Y8+YoDoICqIDmKA2KCEX4sxMBYKpFEb1AKxQKzgVMTgso/6MUJFvqv0v6sfLi7/nVBKw6PL/X5/c3NzSkrK7Nmzf/7znw8cOHDgwIEvvPBCfHx8RUVFZO59x44dzz///JVXXjlgwICBAwdee+21N99881133XXLLbdcffXVN95441VXXTVmzJiv1Q8FEfrhwHFAg1+hg3e9Pv3gfuwElDKTUg1UBVUZLMVUTUAFJMAD9ADdwE5gwlbfU7Vtg1M3/yh564V5h88qkYRiSyh0hDwIRehXin6FtpDVK6QfOjX70MU5X/zP0son8taN3eHNULERaANEwAqOoGWwCRwb1GaMOCAmiAFqglqgJDzHkIROJow7+5pB/YDOUyWUBn0bw1uEsLNjaP/FIndR/G5OI2/0oRXUgPCPJmwdtgpigNpgwYtz4Qj+JYP6YYAYIEZwrlWfeNh9R0J7O7j64eLi8vVE9hIGAoE1a9YsW7YsMTExKSmptrY2Pz8/LS0tPT09PT390KFD4ZTJ7t27ly5dunjx4qysrJUrVy5atGjRokUrVqxYuXJlbGzs/PnzX3/99ZiYmOPLByNg3KDKDoewuFL0HeK3MQYazCb0teMF5wPCBBSwAKwe2fRy38MWYP4BPFXZ/tPs7eembjtz1dYLUg5cliNemqufl22ekWUI2aaQowo53tOyu87NOnhJ5hdXpu+6OXn9iPVdyzrpOuBz4DDQy73cGR89ZcMJz/OwbNg8JEXgsHAkjYUqrxwCQsBIhNIwA8xkxKLEZtRm1AEjEZsrB7AZNYljEoefwy9qfcUyGFQHqgONwGAw+DAsm1AnuI8JB/SCf8y+LUikfjiAc3Tg6zjhL1c/XFxcvpJI213GmGVZsiwf00fCtx3hg3xaLSEknHfhyRXHccKTQgghJSUlBQUFx9ePyBnktK/OlUTc9UKL2WCMEWgGDAI7sqnCApMZ8RGoIrADWHRIeb7m0K2pn/dftfuM3I5TC33nFskXFeoXZijnJPrOTZMuKjSFxLYz83suLuu6KHPXJYvXDklofa3Bv6gDO4D9QDvQCfgBLRiVoiAWiAaqgWmA4cAwYdt8/G3fe4y4/4aHU8HmkuKA2CAaczQwPWKqVThnQ0L59lBqhzLAAPSQBT1/rjGolLfUH7uskFO9FXpuRLw2aGLPWDB+RQ2QL/txufkPFxeXfxVejnVMTZdhGF/uSYxMv+u6zpsE+Y9cSHiapKurixv3Hk8/Ir4kR6oIA2VcQlgo/E9M7pXLxwTqDIYNy4JtUmKosHzA50C2n3yw4ch9mZsvX9p6fvyuc3N8Qq4h5LLTctnZ+axftn5Kuv/U7J5+xT3nV3aclbf9gpSGG9MaXqjau3gP2WTCw/sBAZ8NhYRmzTIbtgyqgMlgMqBQaFw/nKBshNIPEVrCQsNxGUJBIWozRjQQJeK2boE6oARU0UTDVIij810KqApbpaZ63Ps4Y8w0zbBFDdd127Z12wmbNQbDgqHxWVyE7KCEEDAbzAK1cXQi/99dXuzqh4vLfy2U0nDtFvdECe8kOIwxURQlSeKD08MH2dE97Vx+eHUWC428/Sf6EcpwhFsmGGP8a7sDEgoWkeBMKNWBYYE6DJCANqBAxqhN3XelbrhiRevlGfsuK+49r6BHyPCcVQAhBUKCKWRZZ5eRM8tkIXe/kNp6Qd76K7PrHyxpGb/b08DQBZgUjgaigVnc8p2BOaAGqBYUD8iAwqBRGA4sB4TBBnWCcwwZDxHxUl3Hhu3Aplw/eMrBISDEgmPAtuBYsB3YDCaDwbM4oCqoAiKBBOAE4ARg++EEQI63LO9xDlIVCEa9TMBgQZUK7z/sUJSNSwhjhEUE0L40KOWo/zW+k02Jqx8uLv+FHDP2AwCfURj2SWQhz91jXhVOhLCjmwrDJxNCvmr/0Zcbj3wk3DzKPjoEZDmwKGwAxIZlWTagAvuBQh9mHWQ/S9l2VcbBC3L8p+fLQnavkNp+avah/sXKZXk4PxVnpNmn52lnlItnlLedW7z1svyGmzLL39t5uA7YD/gBvwSihGJANoXjwDaZJhLNByIBKqAwKAxacFfBSDCXwJ3habBJ0AI1QQ1QXv/kgDA+osohPDsBqrPgxkABFJAArF7oXXC8sD0wOiEeQM8uHN6CA+uxt0HfWKCvz5Kb0wINyf61SYGGZKkpVVmXjj2V2F+DtnocXovOJng3QNsJcz/UDpgiHC20H3IYbMIcGsxpBB/Di0Qo+DHBtKO7HUN1Yv9/uPrh4vJfCIso26WUHjPNUFGUsDZE7lG4MSIivLB4Bp6fHJkFOa56hOf+BStf+Q2KJwscC44FYkVmEWwQDcQH5gHagfVA3BHnyeLd/aPq+2d0COk+IVsTSqhQ6gj5opDTdUaO9/xk5bJ080cFxoX5Xf3Stp6ftva28tY/t+wsA7YBvYCJCPVyAMOGYcGyQEwwPRQs0/n0WQqbMdK3bbL7Im8sNCtXDS6mB3M2DITBJjAZLAu2D6QH1APSDacLRjvk/QjsETeUeuqzDhUt35o0uyl2XM2s9yqmvFU+6S9VnzxXOeGpko9/UzDq8bwPHisY9XjJx78pG/vbmk/+uHrKMw0zhrfOfWXbwjfbkj+Simfoa5aiowW+3dDb4HTD8YB4YftgekEVnvnn4kdD9VWR+48vS0i4LgyILOr913H1w8XF5VtzfP0IDVfiNywwAtuAqcOxYGkgNogDy+KFVgQQCekCPQi0AlFdzmNley9Z3tov4YvzCkUh29+vzD6j3BFyRSHDJ+TrQjERcpULCgOX5LRdlLL90viGIRmNr647kKngICDxK5qAyUCYAyaBqbx93LZBbDCLwXJg2bBMWKF5hWA0NKwwOHwKjMJxgsEiFZBDy+QfChSWDVWDZEAVoR+Bvh/KHnRu0LeWHShe1rR4YsWMdzJHPZf74XMlHz9fNfaFNRNeapr0cssnr6yfPHzLZ89sn/XHnXOe3j3v2S+i/vxF1J8/n//c7nnPbpnx1Mapv22e+Hj9xw/XjPp59T8eqP7HA+WjHymf8mxt9NvbUif31C6ju0rQsx7aPtiH4XRD76JKDywJsAFKwVTNCNdhcyExKXQaEeliYLxMLjxAxdUPFxeX/zDH1Q8HjKcXNJgmTMpMUB2OCduEbfLJGZQhoLMAgQp0Ac1AVJf/DzVbb8pouTxn3/mlgVNLNSFXFEpUoVAUcjxCVu+pBeoZZRDKIOSrZ6dvO3955cD4qqfX7F4ZwC7AB2gKnyprQ7VgWKCWCTsAIoI4IKDBols71I/H+/QMwOF3WSvUvGjAMYLf3E1AYQhQJgNaqEnFsXVYOhwTlg5Dh+7DvgazNeNAzty10e8XTngxd4Iv5FYAACAASURBVPTTRR89XT7mmU1z3t45f8SB2JGdS0eL8ePM1E9Y5jTkTnHyJtgFY/my8scYuR+pWaOUzH+Iae/z5Use0b3qzfYlr+5d8Pyu+X9eM+nXVeMfLxvzvxXjf9sw+6WdCWM6y2PF5jR0rYfZDrsbxAe11xC7QfsaR2xdMQwjXPlmRdRPU4T1w3L1w8XF5XvgK/SDGLBl6Co0EwYLfqW3wRzGmE2hMohAL9AJbDOR5cPzG7tvqzpwfmKrsLxFyNhzRnGPUNQrZB8RstqFzENn5XT1LxQvLJDPyggISf5+ift/nFD1h+atcTJtBA4AAX5rNCh0A4YGK5gxDzWTB9uvTTADTAdTwXg8itcv9ekHL2ky+1oaIxYziG4aMqgGosKRYAXQtruzofKLvFWV096omPTn4o//WPrxH+smPb9l/ltHVn0sZUzWs6ZaWVORMw3501E4E8UzUTILZbNJyQyjbKZRNlMv/Uwtni4XThXzPw3kTfbnfiLmfyoXTlWKpsmFUwN5k73ZE73pH2mZI/2Jb7TFvrBlxlNrJzxR+fGvikY/njP6t5tXfHywONbYXgHf57C74fjgSCAKdD8sEcwEs3nFcGTxdLCImIZLfv9/5++6+uHi4vKt+Sr9EJmkQDWhWzBD/iVUs6kG+IAjwEFgO1AoYWJD58Npm89atUPI7TqjxH9GcY+Q2yZk7jsl52C//MNn5rafk3v44rzOH2V3XrzyiwsWbv5p4sFfVnTMEZFHsRPoASwABoWsQVVhKyAKL8blKXFQAsqciLYJPaQc4Q6M4P01HL+ygjEwKxyC41sRqsIOwPHB7EHb5kNVGfWLp+Z9OiJrzEtVk55fN/Olzxe91502QSv8zCmdw8rmspJZKJ6FwhkonIH8KciZzLIm0YxxesYEuWiWr3S+WBoVKI+WyqLFigVy+QKxYkFP3syO3BlHMqceyvi0Pf3T9qypXTkzfLmfGtkfImck8kbR7FFyyogjS17dMffPzdOeLv7oN7kfPVU69bWtKZ9pW0rh3QXlIMSDMLph+0AUUB3MZtSxbKLb1D4mhOXqh4uLy/fFV+Q/iAnDgunANGHIliw7pkRYD0EPsB/YDGQbGLPT/nXBvhuXNp+zcMMpRVQogVBgCLmefjlt5+Xu719w8KKCtisqAhdmHz4v4Ysfrdg2eOX63+XumLpdLtdxEPAAvQS6E0rOU9sxJRuaAU2FZsBgsODY0AkMBnJU32JkT0eo+Y6BMhDG/R4DmqaDEFDAIWYAigeWH5YHRicOtBwqXlY15/20UU/njH527ey3P1/+cSB/hlw4XSueZZTNNspm60WfKfnT5NzJav4UI3+qWTDNLJhiF0y18qdY+VPUgumewrmdxdE9xQu6S2O8ZQt7K+IClYt9VYuNNfFS3XJfeVxHUVR7zuwD2TMPZc3syJrWm/QPMWmEkvSumvyenjpSTRuppY+SM0YfXPLmtvmv1k76U+4Hv839+E8ti0ara5PQuRHWYTgeKB3QPCAamA3AdqhzfP1w41cuLi7/cY6rH4wR3iHB4Gi2LpumAUhAF7AHKNIweaf1VGX7oNRdF6/acX7a/nOLZKEIQiGEfCLkqKfnes/O6zk3v/uCvM6zUw6cu3Lb1fFb/7dk38Rt/jwv2wOIgEcywq0L1LA0VWZwLNg6LBWGDsuEBWbDITAIz6UzxhhDxGPwrfa13QWz/gaD4cDWqaZqPtgiSAC2F759+KJpb8aClujRpWOGF4/+/boZL7evGiXnfWqWfCYXzRCLposF0/wFU8Wi6UrpTL1ijlU9XymdqZbN0spn6xVzjMq5RuVcvWKOUjnfUxzVXRTdVRjVWTC/I39eR/68zoL5nQXzxaolUvVSpXa5XLNMrFrSWxrbVRjVmTtTyp+u5X6iZI2T0kaLyR8EEt+VEt4V40coqR8oaR964t/bMfulmjFPln/4m6ZpL25ZOtrTmEnaNgQjWkSBpcAJekUenUJ38+cuLi7fE1+hH4w4Fs/R2g7lLR1dwAYNy3Yrb1TsvW1546WLW85NPXBmiSRUkzOqIcR3XpAu9y/C2SUQCiBkQ8gmp+Ro5yS3Dyvreme7mujDNsAHWNDhiNAcqIAJ3rpu8vG11KQgEWVFBCw4MhCUgJBQIyB/JCA2qAVmABqDwiBTiE5wKQ5EVWqHegRWF3p29Nakblw4Pv+931d9+MfN017qXfkBSqagZgZKJ2q5H+uVn8nV87Tq+UrNfLl6nlQ111cxy1s+U1kdo6yOkVYvFOti/XUx3ppoT9V8T0WUtWaZVbdEr45TKmKksmixNIqvjqxp3bmf+YrmSmXRamWsVrVQqYiRyxd0ZEzzZH0WyJupFX5mFU638yfb2ePszI8CK98SV72pJ41wMj+00j7sjHutZdyvs996MHfyq62Z0dqeRugdMHuheamlI9TZ4uqHi4vLv86xrchHmV2Ee8r6BniQsJM5wufwX1kUFuUt2YyAEW5PSwhzAAMIAN3ADoqU/ebI6n0PLmu4YUnTZSu39c/uOLNEFopVIU8VssRLC5UrMrznp0n90ozTM9mZWTg/3bwsseupRmeOB60IziQ3IYH1wO6B5cAEDGpZjsaoFrLxAGV98kAJBTFATBCQkIU84Ra5JNg9TrhzIp+EqziQDYg2vKq4G/QwyGHo++VNxRvipxVNfDnz3Sd3Rr/bHf+xXTAdpTOcwglm3se0ZBxqZ2g1c8SaKKk6KlA9X6yJkmqjxbpYafVCb020pza6tzbWW7fQWx/nrY/rXR3nr1uoVMcoFdFS6bxA8Rxf4SxvwQxvwQxf4WdiyexA8Sxf4Wf8uVox36mJJfVL/EXRvflRXVkzu9Km9KRM9KWOl9PHGRljUDBRT3m/d+lr3mWva8kjrPSRUvzfD8X9tXr8M7kfPZc/+a/bsxbg8EY4HlDJNvwUthPuEeEpdMJA2PF60yMHkBxlYvbleYuufri4nCywUDVn33CLPltXAifsR6vxbmoHNu+rtrhqWIBtg+iAYjoeC34HCoEO2DB1GBQOTMADHAQ2AekiRrR670zd1j+m+aKkA+dn+84tNk4vsYQ8TciWhFxZyJOFtO4LC6Qri9QfJbVdGrXp9iXb36yVVh3CF8CRkOOhAcuCakMikMGcY5wZyVHydtRkKgDBcBpldmhohwpmglDLBKFwHDiOpcmqpcgwCHyw90DfjLaq/dlTSyYPLxz/TNP8N3ev+FCtiFYr5muVUVrlPL16nlYzT6+dr9ZGiTVR/poFYs0Cf9+K5ctXe+zy18QqdYuUukVq3SKlNk6uWSjXxMhVC+SqBT2FMz1Fs3zFM/0lswKlM8WyWVLpLLlsLtauMqqWBPLnejKnezKm9GZ+6s+Y5MsY708bE0j7yJ86ypf6gTdlpC/1A3/aSD31H8bit3tnvdwy6jcF7zxaP/eNnuZEyDuATs3sMKE4cIItLwQwwGQGOzzaJBTWQ2hqCJ9rwvpaKY3wXzWEqx8uLicLDHBALdCv1I/gt/JgYMeBzfcajIZHLRmgCiAyBAz4RKdXozL3YoeNgESPAJuBUguTdvp/ntJ60bza/gl7rl6Nc8upkG8I6ZKQqZxSZJ1d7pxZpJyW1XNpmXxe6r4LFq2/eeXmV6q6luxHs4xDJjQKQsAcMEIJsyyYOnQdJvlW8RYG2AwOo2AGmAQmgklgBlcY24GiwTS5xZQNC/DB14o1cdtj36yc8FT15Ke3xr3dmfOJUjNfqYmWa6Kl2piwVIQl4VutQG1ceMm1cXJtnFIbp9TG+srn+crn+cvn+MvnBEpn8uUvmSWXRttVi2nNEr10gSdz6pGU8d1pk/y5n/oyJ/kyJ/iyxnkzP+5NH+VJ+0dv+j/U5JFY8Q7i/qpEv7Jn+rPlH/5v7oQ/bC2YRT0twBFKukW5yyFGnyCECwkIGAu61TOErBiJw61c+OncutHVDxeXk5ZglOfYAEXI8IOxoKWSDWaDMMaC1a82wCiBbUDTIeuQZepzYDpwLMBvwUshAoeBPAOjt3U9krJm0JLa65O3Dsw5fFFWzympHiHZK+ToZ5SS00ssIdcnZHacnd91RXHHJcvX3Zy8/rcVB8fvMrMVbAc6AQkwWWhiBeNzlIIT+Mg//4xHw0jI3iM449AMObMHk8pEAVFAFZheeD9vy5vVOH147sjH1kz7c3vaOKV8jl6zQF8dq9bEKrWxUm2MVBvjr4n11sT0Vi/orV4QWB33rZavOtZfs9BfszBQGyfWLZJWL1LqFqmrFyu1sXJNjFwdJVbOC1TM9ZXN9pbO8hXN9hfONcoXktoldvUipWiuN2dqT+ZkT9YkX85kX84kf/Z4f/ZYX9ZHvRkfetL+4UseaSe966x6x0p6X4x/b+usF4pG/zp/0rN1i0bpu6ugHwTxMc1ryAH+390y+2wuaXDfQShI3/4jaAUGx91/uLic9NCjhltEDKQL+asHi1z5zYJRwKAwbDgmoFvQDagGdBOmA+oAkg0PQSewF6iwMW1P4OG81ptT1125qunHSVt/nHfkshLp3CL1lFz5lDz1lHzl9Hz5nHxv/7yuS7MPXJy8/ccrGh7JbB694XCuha3APqAN8IU7M0KuvQ5YqD382PvX18MAG8QGoUHfqtC9Esyvig5sBpU6Xjg9cLqtPet2ZEYXjPlT1cTfb4n5m69wOhqX0IZFcnWUr3yOXBPDxSNQG+OvWxgOSclrl8hrl8hrln6jxzVL/bVxYt2iyCXXLpJr47TVi9W6hUptrFwdJVXND1TM9ZfP8ZXO1SsXSoXz/fmz1dJoVruY1cXJRbM6Usd5sz/xZk/0ZU7ok5D0UZ7kkd2r3pZSRorJ73tWvuOJf69zxfst019Ie/OxkomvyE05MI7A9jK1F7AJIGk6/+rAgsUIzARzgm6+ocFZpC+EZbn5DxeXkxgKaoOawf5k5kS20IVlI7wcBhAF1AdIgBRsv+MZCAuMQAQ+B8qB2QE82XroipTV561qvTj70I9KfecVeoX0DiGtUyhSz6iHkB84q1S+pDRwSca+i5esG7is8cG83a/XHyo3sIniINAF+AE+S4Me5f5HSYQ91bfSDwLw0eEUDIQFr2IDlBE4FnQTXsaOwNyH/fU7EqanvvXrtZ+9ciDpI60yyqqNVSvmq1VRWu1CbXWcWBUjVscGahcGVseJqxcH1iwR1y4V1y5VmlYoTSuUplXf7HGV1LBCWbtCXrNcql8mrl4aqFsUqI0L1C5U6hbxcJZcEyPXxEjVC6TqBVJltF650F84tzt7hr9wrlMTh/rFRkWUL39qb/YnPVnjezLGeTLHerPHe3PG9mZ81Jk2an/CiO7s0d7M0UdWvNWx6I3Ainf9S99tm/dG7Xu/q5/4l7achfDsgOMB8SuWz4HDB1xRBjuiB98JzsgN/xcIjsl18+cuLicxjJvemqB9+hG2ewrLBjch5KP4VAQ09NjBe7sOQnno3DEhAXuBld34XXXbZQlrhNS1pxbvuaBMPjNfEbL8QpZPKNaFGiqUq0JOp5Ddfnr2/kvSdv40ofW+lJa/1RxY0YlNgCfobksUZupUJ0GZ0EO3sqAJx1Fp/28M4WObYFMQOKFYnAU4BDAt6gW6gf3ebXn1sSNKRv2ufszvezInmzUxbO0SqXxub+EMuWqBsWaxsnqhWB3rr4kNrI7z1y8W1y6VG5crTSvU5nhtXYK2LkFrTvpGj81JWnOS2pSoNCZwFRFXLxVrl/B0iFSzUKpZGM6I8OUrmiuXRqvlMVJJlK9wllg426iIYvULpcIZ3pzJ3RkTejLGebMn+nIm9GaN68z8+GDWmM9T3m9PHillfaQnfyDGva7Evo74Dzzz/lo/8sm8d3+3LWkajmwA7QZ8DhVB7fBQd96fH6xni9QPEizMY19KPrn64eJy0sCDEo4D4oTKcB0C6oByi9q+FjMK3rndC6kHXhkKgQkC6IAMRUEPkLkfr1f23J2z9/KcfULOHqHggFDSKyR5T82h/coglDChWBdKFaHCJ5S0n1/bdXZqy4+XVv6hZFuyB/sADxBwoOkmiB4MUDkiMX1wAqFRe3oovQuwcF3Vt4CAGrANXmEc3n/wuR1WAKQH6uedW7Jq4v6ePeqxzdP+5ORNNMrnalUxenWsUh2jVMfwKil/5QJp9WKpfom8ZqnUsEJuXCk3rVKa45XmxNBK/maPyVpLqrouRWlOVhoT5IZ4qWGFvGa5vGZ5oG5JKKIVzKtzIfGXRWlVC/XqOLE0qjt3enfONLlsLqlfaNdEK6Uze3Mne7In9OZM9OV94smecCRzbHv+pJ1JH+xdNULJGYOC8SRxhBb7srLgRWPJG13RrzaM+0PuqN+tj/+EHW4CPQztMIgCalPY/D+DGtLtY/WjzyH+KAlx9cPF5aShL1XOv1E6jM8jgu3Aotw2itmghJfhOCAe6J3Q/XA07jVlolPHdhMT6sWHU3ZdsrDlnJS9Z5dLQrkilKpCJRNyWL8CnJIPIUsTcgJCse+0ko5+uTvPWFr5cN3ns3tRD+wDeixYGt8KOCA6LAW2BBaawoSwyWHIUf3omerf+ONSJzgW0AYN9Q/aNmwNTgDWkc6WrJzpL6d+8OiuRa+icjLqZ9HaBf6yeb7SubzEtrdsvr9ygdm8Sm1YLjeu5MohN62SmhOk5gS5OVlqSpKakuTG5G/yKDclqetSgvrBV2OC0pigNa4SVy/lexExFNESqxeK1bFWw3KleqG3ZF5vwWxf0exAydxA6exA8Sw0LbVrogOF0z05n/TmTvblfeLJmtSZMb4ta1JP/pTuzHFty97sXvyanfx3pL5tLX85EPu8uurN7uVvN00fnj/ujw2LPzS3l8I+DMfLJ/A6sHSQ8B+dIaQfdmiCS9BDy9UPF5eTlqMGyhIGi8Fg0PrmJEGFJcGU4Jhgjgx0Ah1AD9AONDiYsF66P2XzVUlbzs34Qsg5IhT6hWLzlCJ6eg47LdMR0rTTsvQzc7VzcsTzM45ckrpnQNrWW1PXzVWQS7AF6ARUgFo2dO42Ygf7+6jNfUQYDBrp3ctT/YTCCeZyv9WnJaYG5ji27g94eKCOqj44EozuI5XJheNfKRnzp/0rRtCqyaj/lFRPMmrmK9ULpcoYsTJWro5TVy8xG1aYTQnymuXS2lVqU6K6LkldlyQ3J4uNib7GBH9TUqA5WW5Ok1pS1ZYMZX26vj5L25hpbMjmj+qGDH19lrI+XWvN1FrTxcYkvqSmZKkpWW5KkpuSlMYEcc3KwJplgbol/trF/trFgbpFUt1SZc1SvX6JWrdQrIr2l83rLZ7tKZrlKf7MVzyzJ38aGhajcUlP7qeHUsb4C6aKRTOOpIz1Zk3xZkzqTRvbmzTSl/h3f+IbUuIrctJfepcP71z6Qs/Kv7Yvf6th6nPFo3+/c+nH2F4GsxPEB9sH6BZsFYR39zvhtJgN2ASODWp82W/R1Q8Xl5MIyoJ7D8bAGAGzAA1QiO2jjp+PBA9+93c0RVNloAc4BNRbmL5N/k3B7muTN5yXsvXU/HahPCBU20IVFQqJkGmekWyemaydmRm4rMwYUK7+OHnvZdGN9yRsmbTDqQXWU7QBUjAaZYMoQb9xm0X2HzjBAek2CeZfbPCZ5E5osW/Z/+EQmAaYw2BbUGziBwvA6u6uSl83Z1Tdx8MPLx6Jshl2+US1bLS9dopSM1+ujpOqFko1cXLtIqV+ubZ2pd4ULzfES43xUmO82JgoNSWJ65KllhS5NU3fmKNvzNM35hmb8sPL3FzAD+ob87QNuXyp63PU9Vlic5q4LkVuTpObU4IS0pgsNyVJjYnS2lXimpXi6qVhFfHXxil1i+SaGLEq2l8x31s211syx1s6q7dkpq94plYdbdfHaZXzPHnTjmRM6Mya7MudJmVMEVMn+VPGepM/8CSN6El505Pyem/qa12JLx9Z9VJPwhvepHf3x7y+bsIfN0x8bmfMP3CwGXo7qAfMT6BacExAcVhf04/Ne4MsUAPUcPXDxeUkhYUiVpSBMYDrBzXAFDCZy4YNXaGqSFUFjgh0AS06Fu/Di1VtNyVtOHvlOiFtl1DYJZQpQokm5GlCtnpGlnZulnZhjt4/N3BxXvs5q1ovjK27O23z+M1WpYp2QGFgTsgm3TFBJFAvhYdC5g0pXCsiR26QYLbWAQtlZxyeo/m2+gEiyoAN6KrZA/hAO8VNJcVjX109+vkDs/+O/NlYu4BWT/VXjZXWzpBqo+XaJXLtEnX1Mq1+ubpmldoQrzQmqE3JclNSoCHB15job0oSW1OVjRn65lxrWwlf5tZic2uxsaWIL31zYXhpmwq0TQXqxnx1Y77UmiW1ZsgtWdK6dLE5LdCcLDUl8+0I34tIa1cF6lf46pb11izxVsf5a2LFmgV8Baqj/RXzfeXzvGVzxYooT9EssSKKNS7VqmIOpo47kDxeKZ6tpE/WUieJKeN8KR92p7zfkfbO4bQ3D6e/0ZH+t7aEvxxZ9XogeYSc+F5n1F+2fvhk+ZuP7kmaiv1rYLeBdhOrm0F3AMWhTigHFtSPvsZSVz9cXE5KWCggETLxjnCCgm0xU6JWN3P4lI49wDYgfh8+qBXvX7Xlirimc5J3nVXac2q1JlSaQokhZMqnJHnPS/VfnitdWSBenNVxYdL2/ktrb8tqfnldxxIPNgK9ACOhAbCiBUmBGoAdIPBr8MtQjIjSL7Ovvy/sSkKDjlvUAbFBv+W8bgaYDhwC2I7lI1YnWKexr750xltF7/+xfcFI5M5G4SyUzkDDPH3d3J7aGWJdnFK3VKtfrq5Zoa2N1xoTlMYEqTFebkqSmpICzcn+dclia6q8IV3blGNsKdA2Fh136ZuK+QofUTcUqhsK1Y35yoYcZUOO1JolrcsUm9OkptSwhChNKUpzstyQKK5Z6atb1lu7qLd6ga86WqqNketiefd7oDLKVz5PrlrQlT+jt3i207DMqV/SnTu9LW1SIH+GnPGJmjZBTB3jSxvdmfbB4fT32zLeP5Q+oiPz3bakNw8te7Vr+V+1xHfs+He8c17YMubJ4n/89lDePHha4RyE1WmbvYRZQe+z8Fh4QkJ2k65+uLicrLDg93kWdDwMfq8noEyziMdih4GDwE6gCVjSrb23/siwla03JH5+Zer+i7I7+hUFhGJFyFOFTOXUFPHCNPmqDOmnGT0D0w78JHnbpcnNVybUvtxyMKbHXgfs5VmTAGWSAx1QLSgqVAW2AugWTBmmCJvPkQ3LRtgjNpjnOMbe8dubxRqmDQCwYfhAuunBxpblEzJGPLE3ZgTyZ6JuEUpmqwVT9dXRSnNcT220VL9EqV+prY3XGxL0xmS1KZnvPMS1iVJTstySoWzI0jblKJtzlM15yuY8f0tuoDVfXF8gri+QNhTKG4uUTcXq5pLwUjYVK5uK5Y1F8sYieWOhsqlA2VQgb8yXNubI67PFlnS+EfE1JPubkuTmFGVditKcLDUmBtbGB+pXeGtifLULuCcjd/PlGxGxKsZTMreneI5YFWPWL1Vr4noKZx/JmOTLnCBmjvFlfNyb8VF3+scdaaMPp314OGVUR+o/ulNGdq76e8fiV/3L/molvW2vetO/6NXqDx6rmzz8YN5MeFpBDsPxmKZIIvWD8K8bNguOhHf1w8XlpITXI1FYYBaoBccOupoTqAQ+YD/QAiwX8dbm7ocKNlyb1HRpwq4LMzouLJDOKtaFAkPIM4VcS8ixTk+VLs2Sr8nyXL1q15Vxq29JWvuHpv3jD4nrgC+Aw4Cfd7ADIBYsKWQTogIm40F2QAIzQEzYNmwHhHLHlMhSK9ZXuUu+ZfMggv2DsADABgmg9/NNy6fkvPvbHXNeZ8UzaNFUVMzBmlijNrqrdHZnRZTUuFJtiOfioTUmcPFQ16Uo61LExiSpJVXZkKVvztW25mlb8+TNedKmfGlDQVgztC2lxrZyc3uFub1C31qmby3TtpRqW0ojtUTdXByWEGVDjrw+W2nNVlozA02pgaZUuTlFbg5WZ8lNSXJTgm91nFi/kIsH149gG3zlgkDlgt7Sed1Fs+WqWKdhhVwV254xsStnXE/ORz05Y3qyxnZnjutKG9eVPLYrcUzPqo8DyWOl5NH+lX/3LPmLb9nL8spXxJWvHop6sXLkL8vG/8G7egXsg6AeMMUmlhOq0eONHww2hUFd/XBxOYlxKDTGa2SpBseCQ2CDUkjAPoYSCeO2BH6Rve3HS+vPX7Xu/Kw9l1VpZxXrQpYkZGhCDjm1CKeV4rQyCAXqmfk9F+fsvz5n+/+W7Ry7w1tkYz/g0UFMhBwvLA2yAUlDQIFPhaxB12HrgE6hE1gMDgwHMoXCoIEZoFZwXEeEQZcT0X/+rcqvLEAEJACwETjcVZxUNmp480fPIPtTVM22iiYpZVPMhgXy2kVHyqI6yxepTSlmU4rZlKQ1JGkNSUpjktqUrK1L01rTtdZMdX2WujFb25SjbslXgqtQ31ZubK8ytleZO6rNHdXWzhprZ429q5b/aO6o5r/Vt1Xq2yr1beXKpiKuH1xC5E256sZcdWOu0pqptGYq61LDeXWpKVlpTpQalsprF0pr4sT6hWJdLF/S6oWBqphAVYy3bH530WxfWbRWt0StXuQpmdleMKa9YPSR/I+6csb1ZE7yJH/SG/+Jb+UkaeVEeeVYNWGMkjDSt/KNzqUvdC571rvyBWnV33ZM/WP5h/+7dsHb4qZCkG5AMUyF56UoDYY6KWwHhgODufrh4nKiwo3+HLAvF6r2jeUI3lYR6ucIdUWQiD5tEumwyyLr+TVAAdPALMZgM0hAJ7CRIWoneyJ124DotT9aseUn+e2XlXSdWdgtZPuEIue0MvQrxen5RMhQhXTfaRkd52YfuiR92635217f4sky8AXg4X1nvJ5LtWAbDKYJVYXSi14/pAAUCbYCogM2T88yUBgMMoOCsH44X6cfERYa9Oh1jH07//NQC45hB2D2ihuqKya9VTXqg6BrxQAAIABJREFUGd+Kj1E0HZXTWd1MtW5mT+X07oq5vtVL1LVJan2i05JurkvWGpLkhkS5IVFpTtZa07UN2ebmPH1zvroxV9qYI27Mkzblq1uL1G2l9q5qa3etvavW2l1r7awxd9XwR2d3nf153bHHd1TLm4rlzUXhpW4uVjcX6pvzjS0F+sYcpTVTbk4J1/jKTUlq8wq1cYm0Ji6wOjZQGyPWxXLLRbE6NlC5wFcW7SuJ8hbP95VEqRWL9PpFhwrGHSr86EjB2M7cCT2Zk3pTJ3njJ/pXTlATJvmXfuhd8p6U8H4g8e2eVa90JbwQSP5L75IXxRV/2znjmeKRv2pZNBpH1oN4mSPzcodgmxABmMWgUGjBAroQrn64uJwwMAdUBVFBglMuGAvfDW1AB/gAC7uvPVgPtmlTBg2QABGQuXsVgu7lwRZiy7A1mY+co2A64AfagVob8w/jV0XeG9O6z1l66LQVh8/P9l1eKl9a5Dkjt0sohVAAIc86rcQ5v0y7MPvwhfEbf7ys7q6UtR9u9ZQ5+ALo5e0CVkTumzJufOvAtmHbsCw4FhzuutinbcCxuhi2BI7Qgcj4ldPnYhJy/IMJ2DZx+K9UK3R9ChATegeMg/i8pnr2iNKJL36xcrRcNIPWzTOrP9OqZ8g1M6Wa2UpdlFofZ6xdbjasUhvi5YZ4pTFJaQ7uPIwN2f+PvfeOjus+77yvRIlUtyxbsrUua2eTOHlTNtnNSbLv69cpm9hxrGLJ6l2iCkWJpEgVqpEiJZGiSAIEiEoQvWOAKegDTEMbDICZwaBMQZsZAIPp9fZ+n/3jDoaSLfnEWUmWk/mee4Zof+DMAe/nPr/neb5f0tZFOTTZosHRTcz3k4uDjFvHLBsYt4FyZ19pl5506eVXyqkjnDrKqSNdesZtoD1G1mOkPUbKbaLcJsJpwBf1+LwWdQyg9l7M3kM4+ui5XsbRTc+qaFsXPtWeMbdkJhrIqTpyshobv5AZrUgby9LGMsxYQRgrcUMFaagkhyvTfefj6oJk9zlqqEocr431nQyqj211HQl1HY0qjobb3go3vRZpeDVa/3Ky6RDa8nK6eV+i7rlI9RPRmsdjtU9kmp/dKr1/84OfO1//yfThO6PKDyG9CJCkgKMB+FxYPEsBFwNIy+YmOeX5kVdeXxrJ/BA/xo/tJ+5tfgABEge5nEA6ZxOVtbEit7+WNZ7geGBZEDkQeXm/gpUgDbABYAG4GIUHx7Dfq1/5amPwmk78mh7+qj5pZzd9pQrd2RXb0ZVEFBjSy1+p5Xdp4lfWOG6sHPuhau7FmUBTTLKJEAUgAXh2e4iK+mgS0cf02bw9H3OBleGZ3ZiW/VgoEQgeBACQQGIEoFDA/eAfDXSe0h57ePzs7pDmfdJURI4U4sazuPEsZjiDGQtxUxE1WsaMX2AmqomJWtzcIBuNkDPtlLWDtHURdhXh6CEcPfhcHz7fTywMUs4h0qWn3IZfvWiPkfYYSZc+d33kuybKM0a6R0n3KO404Yt6bEFHzGmJuQHC0Uc4+ujZHnpWQ1tVxHQHZmlDJ5oISz05WY1PVKFjlehIZcZUgRsqcEMFrqsk9Beo4Uq0vySlLkqpi8iBCs5YjWuLEr2nwl3Hwl3Hsh6LbYdDzYeiTS/FWw+kWw8mm/cl6p6L1uyOV++O1T4VrnkseuEhqvyR1If3Lrz8v+c+eAydbgUxxAHFAAjyHx0LwDDA5vmRV15fauX81bMHMrknbja7RMdtH+5kewwUAJ01UJWAFoAWgRWBFwFEFkQSRBJEBnguGyonsBKHAqwBtKfgifHEHzS4rq9eur4tvKtl6+rO6LXK+M6uGNISRVqSiIq7YgCu1rI7lJErG5dvqp3/y/bFx0bC5ZswIcAmQFzOFJKAYqVLNcOn6DN5d34NP+RFBVIEVq7YOACSBTwB+Fq677zu+COG9x5dbXiDMZWKlkrMcAYznsWMZzFjIWYqIkbLqbEqevwiPVmLjtdhk03kdCttbWfsnYy9U+YHOddLzfdRi4OUc0iuMAinjnDqCLeR9JhIj4laGqGXR+nlUWZljFkZkz+mlkbkS/4Z0mOiPGOUZ1xGCOkyki4jvaijF4dy/KDsatqqomaUxHQHYWnFJ+tIcw1priEmqvGxKnSkEjdUYPpybLiC0F+gdRfwwbJMd1FKXYj1nie0payxHNUWxNTvhbuOJZTHk+pjyc63Iq2vxJoPxlsPpFpeSjbvS9bvidU+nah5OlHzVLTmyWTNE8zFJ+jyx1eP3647+E+26tekrWkQ0rIPskDJf38ssBkAPH9+lVdeX1LlTmmEj2cDyg/35HZtwW5PIgkAKEi4bFbFcUCygLNAcEBzwLMisAQIGRBTACmAzLYHiSqC7ze6fqyc+xOF9+vtWzvbo1d0pm8YoK9WJ69oD17eGtyhSO1Q04hG2KEhb+ra/GaD/QeNtp/rN89uggnACxADSIpZo1aal+SWOQkiBQL/KQT5rN6fT+EHJwDQArASCAAiLwHDA88Bk4RNi6PkQM9rdy1UvpTqP82NlvLmclR3Fjedw0bO4SPF2FgpPnaBmKgmzXXUZL3c86Bm2hi7gp3tomdV5KyasKtkeNCuYdajpz1Gym0gnDrMOSzzQ4YHszLGro5zaxO81yxf3NoEuzrOro5nobI0TrrHSHe2BKHco6TLSLv0jFNPOPoJRx/l6KFnexibmraqKGsnPdOBmxtIcw01WUtN1pIT1fhYFWasQHVl6FA5rqukdBcIbTnWez6lLkypC1M9hcLoBVJfnOw5Fe46FlMeS2mOJ5XvRNtejbYeSrQeSra+lGzel2x8PlH3XKLm6UTN01jT3kzt07Hi+9OlDycqnpg6evvwsQcWFWch4wOBAhF4BiT5QJKn8/5XeeX15ZUAlyzGBQD5fy0PIgNA/GpvA0QAngGeAU4CGgQaWBIoEggSSBIYDhiG4tgkQABgGWAGoB/g4Gr8H3Xu79aZbm2wflu1cbMmenVn4rL21A4VdYWGu6qXv25QvF4rXtVHIR2xK+tc3yvV3dc9V+DjdRK4AbYAMgC0CBybG67lWeBJ4FDgUGDk1MLPjx+/3P/YtnkXAChBkL/F0xRwDHAEkKFwT4nx2IPjJx5JdJ9gDMXo0GncUEgYz+GmIsx0Hhstx8YvYOZafHtaVz65oqwd7GwX51Czcxp6rpue66YX+hnXEOvRc0sGZslEe4ykx0S4jZRnjFgaI5fHqZUJZm2S9Vo43xTnmxLWZ+SL90/LX2G9FtZrwT1juGeMdI8RrhHSNZLjBzU/SM71ZxfXZUMUq4qxKnBzA2Gppy0NtKWBmqgjxmpwUxWmr0SHSnFdOaWvIIbL0P7iVE9hUnUmrj7DGstpY0l64Ey461hYcSSpPibzI9b2cqL1UKLlQLJ5X6ppb6JhT7zumXj17kzNc0TdnkDx/Vvn78Man/OXPmp66w7tkYfBPQJUFERGEAROTt4SLvXicsrzI6+8viwScsFN8mgSMACUBAwLYo4faG6MVcrdPRkACiQSBBw4EhgCaAYIBnhgAKIA8wCtNP/Kytq/Tjl31Y/t6lr5+kDw5v7grvY1pN5zhSJy45CAtGUuU3G7emGXitzZHLyhyfs91frf9a69awsPhnkfQAggDpDggJBv0qKw7UnCMSJFAkUDxwDPf9H8kC+eB4kSBLnzIeIo8ASwaWl5cui9x03H7l25eIDRFdKGc4m+E+jQaXq8FDOdR0fKsPELmLkam2zALM3y7gU900Fb22mbgrF3Mg41O6dhF3qZxQHGNcS6h1mPnlk2sMsj7PKIfEhFrUzQq2Z6dZJZm2S9U6zXwvmmOd+UuGETN6zihk1YnxHWrfIr758hlsaJXBXiGiFdI9SigXLqGOcwszjEzA1Qjh7K3k3Z1YxNzdiV5HQzNd1IWxqoyXqZH8TIRdxUherKcF05qSsnhsvwwZJMX1FaUxBXn8a0RbShjNAVRdTvb3UciSmPJdXHoh1vxDsOJ1oPJVoOJpsPpJv3pZr2xmufjVc/HS15gqh9IVHzdODCQ+Gax7YqH1t49y7Dy7dFu4rAbwUhLUqM/EeWncX6uPL8yCuvL4uEj53PcNkdO8Al4Jhtd1xSLk0kHkQcBBR4AgT5GIcQgRSAEiRWkESSAUyCLYBxGoo2mfvMy7/faURqjTsGMaSHRRQRpCNwRU/wel3qqsEUooogGgzpQi9rjV1V4/9u3dK/9AXeXOQ7ohDf/pUwFjIMT293YjhgWSA5keB4kudI2awXJFFOnP38+PGRLUJ+OzWRk4AXACiOl+R3BosDl4akz6koVr1yh7t8T7r7XVL7IaUvxHVnsaGz5EgpZirFRivRiRpssgGfakWnsnvg7GwXY++kbQrapqDsSnZOwzv7efcQ6x5m3cOMW0d7jMzSKLs6znvNgneK9U4x3inGOyO/sr5p1mdlfdOc38b5Z3Kv/LqVX7fz63ZqdYpanaJWzOTyBOWRqxAj5dRxbj3r0tELg+Rcr2yWRdpUtK2LtrZTMy2kpQk3NxATtfh4DTFWQ43VyF0QXFeODZfhQyXoYHG6tzDZfTbe/SFlKudGyxO9p2R+pDTHk8ojCcXridZD8eaX4s37Uy37ky0vxOufi1U9k6nck6l6PtGwJ1D3hLfy3kDFg5HCB51v3Tl95GF2vA2YdVHKkCCS8ojdr/jn5/mRV15fFkkAQtbZEEBiQEIB0nLJkUOL/IgNIgMCCnwyyw+JAWAY4DAQUwBhgACAFaAuCM+ObP5Fo+XGypHrWmZv6I8hKg4ZAGQQEBWKKCNIfwzRxpHezV2DkV0dKzfVOv5Hq2vvaKIlAG6ADABPbm+UsKwosQJwLDAEEAwwLDCsRANsm6tTAtDC58oP+NhYby6vnZdAFAAojgUQQWQAiwITAf9M//vPao/8IqU6KhgL0r3HWX2BOFGBG4ozumLMWI6OXkDH6zBLMzrVnpluz0wrMtMKdk7DznbRNgVh6yBtXcx8D+fSCss6zqNj3DrKbSA9Bnp5lFubEP0WccPK+W2M38r6rLlXxjtD+2botWnKO814Z+Svs+s2zm/j1+2sz8r6rOzaDL06SS9NUB65CjHyyyOcW88sDpFz/aS9l7BrSJuGtHUxdgVtbZX5gY/X4eM15HgtOV6LmypxQwU2XIbpSvGhEkx7Hu0vSvUVBlUn6JEKaaI6PXAmqDgWUR7PdJ/IaI4lFK/H2l6OZfnxUrJ5X7z++VjVM9D2Zqz0mY2qp9brn1itvCdS9QBV8ejmsTsHHv+rjKYA0vMgRgig5TV+Kc+PvPL6MuiTb7IiAAs8Lm/P0cCnAVCBSwIwIGXdcrfzfCgQ0kBGgMflB39BhDTLxwDWARwAZSl4Yi7yp6rZm5tnv9bpvUWT+JoK/Uo7cUMze20HXKEBpBuQHg7pxRBtDBn2I036P1DoHh2dawqS6wAEALDAy9UHxwHPyYgSgGGBYYBhgePlSbDcgl/2mONzft9yvorb/NiOUASCIkHigUWBSwC6Otd4SvHKzzeaD0cVh7G+47TuQ1ZfQBmKcH0JaigjxmpwcwMx1YJZWlLmluRkGzqjJOwqbj67x0dYO7n5XtE9KC7phGUDvThEu4aZJRO7Os6vWeRmBrM2SXmnSZ+N8dmZDYewOc9vLUhbi2LIKX8sBhbkVy4wz607uHUHuTJNr02zPiu/buX9M9zqJO0Z2+6CDLPOYc41LDiHucUBcrYbm+5kZ7sYWwc104ZbGnFzAzFRT03UURN1mLEC05djulJcX0bqyvCh4sxAYaLndLyvINL7IT9xURiv3Gw7stn2Ftb7QUzxdkLxZrz9lXjLwXjz/mTzgUTTi4mGvYnq58mq/Xj1gXDjCxsNu9drHgxV3Eucv5cpetBz+CdDL/0zNdcJECDFlPwUwfH5/PO88voS6FP5IU8ViUDTJC2QPHAkh4vAQS7PhxIAx4HCQCQAKEHiSREIETCAGMAyQF2Ef2rK/yfqqa8oppFWB6JYQ5SJHZ3EVc30dY3stzrgxkYaqSeQLn6HDq7Qc4hyDanS3jazdCoUmQaIA5CMKCaZ7GEZJ2djM9ux6NlkdCm36yduG7Mzvzqe8zm8b9l/L2VTSNsR7hRDg8SBgAITArfBXPSS9si9ka43U91vkYPvM/rTtOEcqT+HGcpQQzkxVoebmwhLK2ZpS5lbUpZ2dKaTsKsYh5qyK0lbF+VQcYt9gmdYWDbwS3raNUx7jMzKGLc2IcOD9VroNQu37mA2HOzmHBeY57cWhOCiGHJKYVfuY/kSgov81gIXmKfWrIzXxvqsnN/Gea3MmoVeGqc9Y4zLJCOEc+kE5zC3oKUcPZi1K8cPYqoFNzfJYYXURB1uqsSMFai+FNeXkLoSYvh8ZqAw3ndGNlXkxqu58aqtzmOB9rfTPSejnW/HO9+Ktb8WbT0Ua34p0XIg0bRf5gdetT9TvT/S8MJGw9Pr1Q/L/GCL7g+/f/vowb/3qU8AvgCQZkDiPim+K8+PvPL6LeiT+SHfCElJNv5LAawx7GwolJG/y/JAMcBwcowSK3EZQchIIKd0uAC6UTjmwf5Z67ml0XyVYh5R+xBt6nIdj/RJSCd3Zat0nQKQmsTN3fx/M8A3lejOsvlvVtjuMoYLtkDPgw8AAwDggCcBSwCJA0/xwJDAMcDxsj1uLgowt5mcXTj/jcNl/++U3VrPFR88AMszIDHAJyGzvN5d0v/GPY6ipzN9x1Dte6TuQ8pYQOrPYfoiVFeGGirJ8Ubc3IxPtmCWtvRka3qqDbMqyFklZVdSdiXl0LALvYJLK3iGOY+OdQ9zSwZ2eURue2SLD+8U7Zvitxa4oJMPufiQSwi7xYhHjHik6JIQdsufStEl+RIjHins4dYdrH+W9c/KJ13MmoVdMTPLE7RnhHEbGOcw69JxrmHWOUTO9eM2NWNX0jYFOdNOTLfKebekuY4012GjFzBjBWYowwwluL4E0xelhwoS/Wdj/QXR/gJq9AIzWhnVnAgqjiY178eVR+Odb8U7DkdbD8VbDiZaDsSb98ca9sZr96Yvvpiu2RetfyFY/1zg4hOh8gcz5+8li+9Fi++ffv0fjCfvJxdVIEVYBmf53OTCJeX5kVdevwX9mvqDwiUMYAvAwkPB5PwZ/bgfgAIAlgOaBpYFERiAEIAXIATgBxgR4NQy9dOehe/Wjl/fMntNz8YubQoZzCB9FNLLIp0U0oJf3sFcr+Gv1WSu79j6ep37D2vnbu9aet+GjWMQBSAAOBFYnAYSBxEHMQ1CjCI3CKBSwGMgMiBmTUG47SljZrs1ImYnj39Tf8N/ry5ZnuSKDx5AFHngCeASsGGZLD7Qc/AnsdZX8cH3MN0JzHAG0xegunMZXTFqqERN1cR4EznRjE+04pNtmKUNm+4grJ3ZysOuZOZ7BNeA4BkWPMOse5h2DXMro/zqGO81s15zdh7XN834rWLIKaMiBw/5ysEDYsvyJVNECLqEzXlu3UF7bfTaNL02zaxZ+DULuzwmI4R16Xi3nnUOUfMD5Gw3ZVfSNgVl7SBn2ompFvkUizTXEeMXsdFKzFiOGUoI43ncUJwZLkxqC2P9BbGBc7ixnBypTPSfDaveiyiPx1XHY11HoorDsdbsIkii5UC8cV+sbk+yZm+q9oV43Qvh2ueDVbvD5Y8lSu7PlNyHlz+4dPI21Yt/61OdBNILbFoCYPP1R155fRn0yV1mCViCZwACAEM0vGYL/qhSc0/jwIQEyawXOgcCh/NiAGARYBbAwEK5Dx7Rb/5pq/2GJjvS7kG6Q0g/ivSSSEcGaU7t6sCuVxHXa9BrelPXDcR2dq3d2OL4nwrby5bAaAoIAOAA5M1iMjs7LIgMB6gAEQZiKDByqi2TM5Xitlv52/CQtl0T6d/cYv03l/gRfoi54iO7EMOhwITwGdXgsQfH375DHHwvPXA8OXwirfswpTub0hWldSUZ40V8tJ6caCbGW7DxFszcSk61UdYOeWaXsHZSDg3v7Jc8WsEzLE9e0a5hYW1cWBvnvWbON8X7Z/h1q7Bh4zdnhbCbCy/JFx9Zzl3yp0J0RYytirFVIboiRFfkEkQIuviNOcZnZ7wzjHeG800L3iluZZxZGmU9RsZ9aRZrexdkGyHTrcRUEzHZSJrryIlqfOwCZixHjSW48TxmKEZ1Bamhglh/QUJbnNGVEKYKXF+yXYK8F1ce/Sg/4q0HYk37ovXPR2ufS9Q9n657MVnzYqzy2XD5k+Gyh8Pl90fKfhGpeGDwhb+xFz4Da+PAJQDEFMXk+ZFXXr99fSI9RAlwSkwBLAIcnAr9RePktyuG/q5zqp2FTQAMgGdwAD4DsArQKcJ7IXjIEPpf7a5bL8xcV7dwVXfkCh2NaAVEwyD9cLmSv6aLvrmH/lY/erM6cF2H84bm6T/snHliNtrMwhJABkBiRSA4IHnARNmHESRgQSSAIgAjgSBBpLdJkTU9lG/gQvbASgIQQGSBZ4Bnc94qn6N+iR/Z5j0nAQAPTBoirhVlofbNu/zlu0F3Mtn3TnT4ZEp/JmkoSOpLUoYy1FRNjDZS5jZivAUda8YnWunpdtau4O2drF0hz1wJrgFhSSsXH4xbx7h1Mjzk9UB+3Spu2mHLAaEFPuTKwSMLidhq7pLia1J8TeaHDBWILUthjxhY4NYdrM/O+qycb5r3zwhrFm5lnPUYWY+Rc+s5t55Z1FLzfTI/5FMsaqaNnG4lJhvxyTp6spYYr8JHyjBTKW48j5uKcMO5jO5crL8gOXQ+OViMGcrYsQuxvlObbUdS3e/HlUdjijdj7a9lFwlbD8Wa9kUang/WPR2rezZT+yJWvS9VsTdctnuj/JGNigfWS+5M1z9mf/Ofxg7fjg3XAR0EoBIkludHXnn99vWJ/JDd1dcAilbIv2mZubV18Wttrj/qWjgRBzdACCBNpDCe8gIoMXjKGv2Djrlr62d2NMztavXdoMlc28NerhQRJSA9gPQCohEuV2K7FIHrmhe/3jz9R2rbTwfs7VF+GocNgChAEgADYLOLijhIOHBp4Em5nsABUC7Xpc5FemSdVIhswSFmI0QurYJ//vyQE20/zg9WlAB4YJPE0rix6IDu7bsE9VvQ/3Zy4FhMfyplLEyPnE+bKtKmC+hIHT6W5Qc+1kxONHPT7by9Q7R3sHYFPatiF3p595DgGeZcw4xriHHruCXDR/khbNhgywERJ0Q9XHiJi6zw0VUhtibGvVLCB0k/JP2QWs9eSb+U8AmxNS6yIvMDIksQdIuBBWFjjvPbON8055sWvVP86gS3ZMrxg3UO0wuDlL1b5gdj76St7TI/MHMtY6kjJy7m+EGMFOOGc6i+KNZfkBouifYXovpSyVKbGDjtb34z3XMioXonx49k28uJ1kPx5v3hxue36ndH6p/Fa14kq/any18Mlz3rrXx8teqhtYq74zUPb5y5e3TfP6xceAsiLgCczOd/5JXXF6ePLExLIArACcBI8qCSJIAoSSKIEohSNpuVAQgDVC6if1czfkvZ2Pd16Ws7vTsrxh93MyaAZYAtAHOGPTLq/mH9yC111qsUq7u0MWQggfThO/q4y5SAtApIO1yugV09cE03/dWu4C1Nc79fZ7x9wFoQImYBUtsTXmkJ4hIkAQgQaWA4QAFSsp+WIAisALS07cqeHRoGadvfFwNAATAQyax7yjY/pM+ZH5K8Bs3L7xf/kVM0gadBJIAKpWc03W89OHr0F2A6Qylfz2hPJA0F2FgpNl6Bjl7IjFShI3XYaANlbsHGWzKjTbi5mZlpF2a7hFkFN9vJOLqZxQHereM8OsY5TDmHGLeBXR7h1iayG+a+aWFjFkILEPFAYo2PLMvwEBJeKbUBmQCgW4AFL12ZAKTXxbiXj65ykRUxtipFVqTwshB0CZuL3LqD9VkZ75Tom+FWJ5mlUdnpPZsasjhEznZTdjVr1zB2JWNVkNOtxGQzNlHPTNWTExeJkcosP0wlhLEIMxTH+gozw6XR3oKMrgSm69MDZ3xNhzO9Jz+RH9HGvVu1T0Xqn0FrX8Sq9yWqXtgqf8Zb+aj3wkNbF+6Llt2bKX544vn/33biGVgZBWZLAiLvn5hXXl+UeAAUAAXggAOOgBQBUR6iACmQGOBB4ECQgAdgGAAGSICqBfhZW+i7RbPfbfHf2hu9unX5lg7X/2cKtQLU8fDaLPajuulvl1tu6drYNYgj6iTSjSK9FDIoIVpABgDpBaQbdmrEq5vDX6mY/0HlxEO983W+tLwMSAHPSaIgAicBK18ALIgc8PLXQGJB4uSTNF4CMXda9ZGIqly/mgcQQBQu/QT/+U/visBzwHMgSvJCPp6ddmaBjAIbgdjC5LmXtK/fTareF/s+ILvfTfWfSukKMVNpxlSeNpanDZXYWDU12Yibm9CJJnSiibBk3a7oWRVlVxOOHmpxkHXpuCUDt2Rilkzcyji/ZuH9M/JWuRBwQMgFUQ9EloTQEhlwsdEVSG8CHgIiImEhAYvweIRNB3k0DHgYiAjgIUC3pJRfSHhlkPCRFT6yLIaX+ZCL2ZgnvFbGO8P5Z5g1C+YewZ0mammE9ozQLj0+20vOqim7mrB2kjMKzNKCTjSh4w3UZCMxUYuPVqMjlaihLKMvzeiKM7qSxEBRrKcgPXg+qv4QJmuTPaeiqndjymMJ1Tsp1dFk5xuR1kOxtkNJxcvJ9oOxhr2yF2+k5ulw/Z5Aw3P+qsd9FQ+GKx5In78XO3dP4oNfrL93v/G1n6/3FIPgBy4MEv3RijnPj7zy+tzEbz+rszl+hDkIAsRBwOQbMEGCfCuMMdDhyvy0I/jd+vj1tRvXKcLX9kR3KH1XK5ZuVS3/zAE/0sX/uNHzzSrn19qCNwzQyJCIaChkCJAeHlFRiIpC1CyiIne0x66uW/tm1exP+3wfrjAmCoLy/qGIg4CBwIqfpE/p539xA7n/JkkicCzwrCQBDZAByAAQIElAAxV5cHJFAAAgAElEQVQCegOW9BPvPzl+9H5ac5LpPkF0n0z1n04PF2HGcsxYnjaWp43l2Fg1YanHzU2ouTFjbsKnWglrJz2rkhOiCEcftaBl3AbWY6Q9I8zSKLti5nxTvM/G+qysf1bYnJfCHoguS5EVLrzEhJbYxJqUCQAeFvGoQEQFMi5SCZ6ICWRcJOISEQM8LGUCUmpDTPqEhJ+LebnIChdZ4SPLbMhDb84TXivtm2HXbfSaBfWMoC4TsTRGLY2QLj3h6JNLENKmImcUcihIZqKBMjcTE/X4aDVqqkIN5Rl9WUZXktGVJPuLYj0F6GBxVP0BTNYme07GVe/GlEeTyndS6reTnW9E2g5+lB+Zuj2JmqeDdU9vND3rb3pmrfqx9fL74+X3kcX3UWd+kTl5z+bJ+w2v3u5ufgf4FeADIJF5fuSV1xciKWexASAJItAcYAykeEiJfAoEDjjgCcAAAgANm8SPOy1XVNkRVQzR4shAEhmMI7okMhhCupZv6Fq7+uLsteX2bzT5blWnrldhl6lwRM0gzYkrNdRXtcINmszOhpXrquf/oN39D/1rLzuJujQsAmwCpABwURDE7LnZp6Hid4Mf/C/zgwIJgAY2BrSfHGkYeuO+uTNP832n8a5jRN+p/3t+cKuTv4YffHxNSG0AGpL5IRJxiU4DjwGPAZsGKikRMQkLiWhATG9CelNIZA+yPo0fufojxw95CkvmBz7VjpmbP0N+pOuz/Ag07llvvMQPuuQB8uwv0A/vC51+2Hj4dnPJftgYAzGU50deeX1BErYTVkEEECQQJQk4HmgecABColFgBEGCDYALfuan2sUbWyaRzjXEQCGjPKJFkb4koicQA4YMxBB14Ep14Ks90Zv7UtcroztaglcqEjf1c1c0hW9SJL/dFf1Wk+f71VM/Uswemos2pmEBYA0gBBAFSEkSLkrbe36/ET6+nPzgJEmit48GaZBAIoGPQXppreWD3pfvXL94SBosSHcepQfP/Kb8IOf6qQUt7dIzbgPlNsn84P3Tn8KPZUhvimgwW3zgMVHelpFIkBiQSGBRkYgLWEREgyIaBHTrEj+iy3xEPr9yyPzg/DPM2iTmHsFdhl/iBz2rIW0qytop8wM1N37G/Kh9dqtxz3rjM96Lj22U3R8ve4AqeYA4czdW8GC04DHz23fpTjwem2oBYQvEPD/yyusLEQ88CiQKJAfCR4ZOJZBYAEpgMQkgCdAWkX7cu7Cz2Yr0B5AhFOknEA2GqDKIKoN0Y0g/hWhJRBNHhtHLDQTSF0OUgR2q0LWa2E2q6PfVye/ULn2nxPzXNZN7TCv1QcIBEAJIgZgGMsmmMYHIxcviwqfuZ/zu8IMDgRMhyw8cgAEBJBy4GARmposOaV/7RVpxXNQWpruOM0OFvyk/qPkBenGIzsaYG2nPyK/nx6WTKzzGEzGeTgFPZr1cJAZ4TCDjPBbl0bCEhQALyvyQd0S2+x+fzA/aY6Rdw3IoCD2roexqytpJTHd8fvzYbHjOX/X4RtmD8bIH8JL7M2fvws49ED33qP29+7RH7/OozwC/AUKeH3nl9YWIBx4FLAMYLc+XcpcGhkSWYQFiAOo49fDoyjfb7YhqHdHTyACFtCeQ5sQOJXN1t3CZkkWUDNIvIH0UMkQiA2lEHUR6AjdpY19Xrd9Ubf/9C7M/bFx8cnizeI0d5yEAgALPQEoUwiCEABIAuAQ8Kzu8S/+h+IHLa/PAgYgBG5Hmh/XHd48ff4zpPc31n8lo3qeGChIDnwE/hPWZX8MPAYuIRFwg4zyREGgUBPqStQtH8HSKx6I8FhWwCGDhj/Ej4pH5QXmnGe/UNj+Mv8oPxtGd4wc+2YJNNn0m/Ig27k3W74nVPBOqeTbUkO2fb5Q9GCt/AC25L1Nwd+bcA6GzD3hOP6I7cs/0hVeB9oKA5/mRV15fhCTgGcApwChgGZCy+R4UAAMCB2EARZK6d2TuG+2WKzQ+ZJhB+vgrlcRVzakbmzK3ttPf6ZBuaRWubRN2qCRkCJAhDhnAkP7Y1d3r3+jy/FHH4g/b5u9TuU86MAMHawBRABJEjo8DvQFiAMQAiDEQUYGnKF769fvhvxv8ABEEDkSOB4nejq4VgQUhA3QwaWrrf/3BhcLn+YECXPU+3vsBOnD6N+UHvTAo84Ny6gingfaM8GsWccP6afwQUpf4IZBJgUYlnsr6JEsscITApEUiLvNDwkJi3CvvEn4aPwi3kXAaaI9R5gc1PyDzg57V0Lauz5Mfe4P1z69feHKj7OFY+UOZkvvQ4nszRfdtfHD3WuGjI0fu1r//OISswOf5kVdeX5BECWgeaAZYBgQQJeBAzg3PAOhJ2G3buKV1FGmyIn0xRAuIktmhyNzQmflGW+aWuuQ3q1LfrMW/0sTuaGEQjYB008ggcbU2eUPjwi3Fun9umz02k5wEcAMEAOLyMqCAg5QCMQLcFjCbQIeBS4HE5UzWPw0IvzP8ED/GD1oevuJTgPmDvVU9L9+9WnZQGCxMKt7B+06lej/4vPnBJzd5NCwScZFKiFRKoFGRIyWRkUQGBFpicZkfAvGr/PCIEY8QXOQ27JTXwnineP80tzZBuPWEU/dRfjDzfTl+kDOKz4cfe8L1e0N1z29UPhkofThW/hBaej9acm+6+B7v+7f5zz1ifvvOwcN3wZIBeCzPj7zy+oz1yTdfURJoHnhBlFhRYkDkZP+PDICRgOct0Vvb7Jcrl5GhNNKLIwrymh4e6U4h3fGruuI3tse/2ZL8Rgt6Yxt1tYJDFNQOLVyjpb+i2PwfXd6DNmYAAz9ADCABEBdym108SAyIBAgYCBgIOAg0iCyIgiQnU/1uK7s8KAf9yoUciASwcaACtgtHtYfvT7QdY3pPo6r3WH1RvOdESns2oytGDWUyPzKmCnT0ImauzYzVp8frM+YmYrqNnlXJOefy+RXr0gkro9ySiXAaSJeRW52UNm28z8Z4ZxifXdich8gSxFYgusqFl5mYl8tsiWRMpBIcHqfQOIklKTzF0RhLoRyZZskEj0U5LMxlQkJqQ4iuyKaKUnRJDLm5wDy7bmN90+KGjfVa5J457dLLpimsS5exasjZbnauh3F007YuuX+OTTYxllbS3CDzAzdV4qZKzFAm8yM1UBzvPpMZKBRGL5DDhdGuYwn1sbT6eEL5ZrzjcKzj5Xj7y/H2g4m2l+LNL8bqnk3W70k27IvW7wtWP79V+XS4/PF4+aPJknuxygdjRXf7P7wjWrnbfuxu0+t3cBYF8CgACIIgz3zn+ZFXXp+BPoUf2/bmAkgsJXE0DxAFmBThcb3vjzvcSNMS0p28TMtd1sNc3UFep6GR3gTSH71ME766K/jVjshXOxLXKdArlQTSiSF9LKKIXNOwdPtoppUHN8AqB8T2Tp8AIErAsjzPy7EcEogSiPKGH3fp+tz9RT5PSZDbPKezhZwAAgFMDFIrM+cP6964P912nOk9ndG8Tw4XRns/SGoLf5Uf6ETNR/lB2ZWMQ/1RfvDLIzl+sCvmXP1Be23cukMMueX6g4+scDEvnw6IeFii4jwRo/EYjSVoIskSGZZIsWSCw6M8HuHl+atMQIytyna8YsQlBBf5zVnWN814p8QNK+81M0sm0qVn3DrWo2c9etY9nLGqfg0/sJGLMj/kLJD08HmZH4meszI/iKGCT+NHvPVAvPnFWN2eRMPeZMO+eN2+SNXecMWz4fIn4+WPRkvvSVfcHy2+a+PMHakLuxeO/dx44J8y/RXAoZIk5XaG8vzIK6/PQJ98+iOCJG3HmtMiACQB+kk4tJT6L41Tu1q9lyvxnb1wTTdc1clc05ba1ZVA+pPIYAzpC13ZHbhauXl1V+AKVRzpziD9BGIQkIE00rr0J73Lr26IwwBrADiAvGAiiiLLAcUBLQELWZsUPuuMIoHIgUiDSP9u8wNA3nXf5ofEAwc8BkwENqzjp/eNvP0g2naM6/0Q6zmJDZ2N9H6Q1Bamh4tQQxlqKJPPr2R+oOMNmYkG+fxK5kdufpdxDss+VKTLKPOD908LfrvMD8Zn5wKLYsgtRVaE6AoXW+WT6xK2JeJhgYhyeJQnEhyV5IkUh8dleAhYSEQDUiYAmQ0pvgaxZYi4xZBTDCxwG3bGO0XLR2ReM7NkotwGGR5y7ghqU5Oz3fL5VW5+F7c05/iRMV7AjBUf5Ud68Hyi5yw6eI4fqcS1ZyOd78RV78j8iLW/Fm0/lONHrOmFyDY/ErX7Yhf2RsqfjZQ9Ga14NFp2b6zsnlDxzzcLbs9UPbl8/M7RPT/cqD0OTDL7py2Koijm+ZFXXp+BPhkfcsucBYECSYIMwJQELy5sfKdtfFfX8s5+4pp+uFoJV7Xx17RR13Smd2qSSG8a6U8ivZEd3YFdat+V6nWkO4z0JpDeDNKdQvpSO7oDO2vHv1Pb9+ycdwwABQBgOJakaZoTszGAhAiU/Hgue1iJ8B+JHxKI7DY/RGCBR4EOwYLOcGy35fijeMe7bM8peXMw2ncqMViQHi7K6EtRQ1nKUJY2lmdGqtCJGmyiMdf/IG1dv7T/wbgNjNtAuoyU28QsT7Bei7g+y/lttNdGe230+hwXWBTDy2JslYsu8/E1Ie0X0YCAhQQiKuAxkYiLRFzAYwIW4dGgkNkU0n4x6ZOSXoivQGxZCmeLD8Zvpdcs9KpZWp+S+UEv6VmPnlsysO5hxjVE2DWUo0fmh7w/iE+24JZmerKFmKj/VX4k+s6lB88newvQwXOcqQIdOB1WHI2r3kmpjsW73pD5EWs7FGt7Kd56INr8Qrh+T6xhb6phX6pmf7zyxWjZc5Gy3dGKx6OVD4ZL794qvn294GeZikc3Ttw9vfdHy0UvARYRRREAZITk+ZFXXp+BPo0fvAQ4ByRAFMAM8Koz9gOVFamfRFTBy3vpa7rEqxqZqxuIazvJq/qIHf345RryCjW5U5W4Sr11lcp3pcaHdG8ivTFExyLqNNKPf2WCvVm3cWOb/s969XvtM8siywCT86SSx4MJLpsxK3tYSfJxlsSB9Dt+fgUgZ36w2fwqSQIWuDRQW9SkWvvGQ46Tu0nFu7TmJDVwOtr7QWzwdGKwIDV0LqMvzehLU4aylKEsM1KVGa8mJptlfmCWll/aPyfnBymnTp7fpdwmemmcWpngfbYcP0jfLLMxzwc9cgnCx1aE+KqU8kuZgISFAA8LWEQiYhIRkbCQmN4Ukz4hvspFl7mwO1d8cIF5bsOe44fgm+TWJpglE+vRc24959ExriFqcTDHD8qulv1L8MkWYqpF5gdqqpL5gRrKM7qS1FBxvLcwPXg+1VeIDp5jjeXpvlOhjiM5fkTbXpX757G2l2It+yNNe7P8qD+Qqtmf+Ag/ktWPBs7/fKP4Nv/Zf0mWPhA9fY/rpX/0nHkBEhuCIACAJEmCIOT5kVden4E++fxKkgSelV11xwAOuBK/1zF9eZP9qoH4FT3oVRr2hg72K6309Z3kNd000o8imswOjbhTye9SYTvVkSvV6zvUXkSziWiiiJZFBoTLepgruuLXtS99rc387eae/3mx9uL0tDsUzIUB0kI2pUMSP3aJUi5k6Xdb0jY/GJA4EABo4JJAbWaMLf2v3Ocp2EN1vkco36O1Z8PdJ5LDBfGBs6mhc2ldSUZfmtSXpgxladOFzHg1aWnBJptkfuAzCjmzFp/txmd7ibkBcnGYdukpt4lymyjPGLE0xq7NsD4r47MzPjvpm6X8DjbgEkJLUnSJj3j4iIePrYhJn5jeFNObfDoge5YIqQ0h4eVjK1zYzYZcXHBBCrvEkJPfWmA27Yzfynin5DRcbm2CXR7Jts3dw6x7mFocJOf6ydlumR+kTUVMd8j8IKdbKXMzPl6HmqrShkrUUP5RfmS0Jen+c+jgOcZQluw5GWx/O656J6l8J9b5usyPaOvBaOuBX+JHumZ/omJ/vPT5LD9qHtss+flm6W2+Mz+JFd2dPHuv79Ufu08+A+E1nuchz4+88voM9Sn9cw4YjAFxEuBlb+x7A/NIiwPpCl+rFW7uFW/uZG5REF9XEdf2kUg/ivSlkG4c6QFEA0g3ifQkkJ5NpNuPqDeQrhjSmNjVytzQyNx4IfqNUvf/U+v4e6Xtoe6JCsu8PRTPAJAApAiiKOOCz/rUCgKIUm5smP4iE8o/H30yP8jN5FBD76G7vSX76a73sc7jzFBBUP1exlAUHzib1BamdSVpXUmOH+mxi9RUK25pzpib0MlmmR/krFrmB+7ox+e1lFNHuU20Z4R0j2LuEWrZwnhn5Ohyyu8gfbP0xiIXdELMI4SdTGiBjbj5+Cqf8nEJPxPzsnEfG/dxsVU2usxG3FzEyYcWheCiEFzktxb4zVl23cb6rKxvmvNN8f5pZmUsO7DrHGJcQ7RTS871YnaNzA/ZvwSfascsbYSlNcePjPGCzI+Mviw9fD6pLYr1FGS0JZmBInTwHK0vTXSf2Gp766P8CLe+JPMj2rzvl/iRKt8fL30+UvpMpOKJWPVj6yV3hip/vlH4L9GCO9Jn79149ccLRx6DwBLHcZDnR155/Tsk/dItWNq+REmSskNP/Pb+sZyp5Acoi+L/S2tF2izIYPByLY20JK/vJK9pTO5qCF/dmdjRnUG600gvjgwJu9TUdUr0BmX4K8q1mzqdX1c4vtky9+2mxb/oDP9lffDHneiBKTizBhXr0JGCKYDVbGoHkAAcAIAIEieRGeBp4FkQOBCF/0j8kPsfPAADwIMAEg1sEqiNuPZi78E7NisOsF3HMh1vsUMFW6p3MVOpzI+MriStK0nrSpP60ozxAjp6kZ5uwS3NqLkRnWwmptvk2HNyVo3ZezBHLzE3QDl1jNtAe0Yotwl3msjlCXptml93cOsOmR/U+gK76YSoRww52a15LujkIx4hvspHV5nIMhXyUCE3HfYwYRcbcXKRBTGyKEYW2a1FJrBAbcxRfjvpszF+K+efEdZnsm5XTh3lHKKdWmpxkHD0oDY15eih57rpWQ0pD19ZWrL8mGzEx2syxgtpYzlqKM/IzXNtUaz3bGbovMwPSlcc17wfaH0jrjyaVB6Jdb4eaX0l3HIwx49w4wufeH4VqXgiUvWIv/jOaNX9gaLbImfuSJ6+y/fKP868/gtxw8VxDIAoSYIgcHl+5JXXv1XS9qTs9l1YftjP5l/wHDB8NqGPAMgAhACcAB96yR8pJn+veeIbavdO5Qqi3NrRj16mQa/soXb2Mlf20DtUFKIgL2unrmmL/Zdaxx/Wjv953ejf1Bt+3Gp8rH/6yJS/zJ0YTIIFhxUBZE+SFEA66x4oey1lk8glSQJJAFHInlvJ6eQf+c1/xyWCxEmScCnzXGKBSwG1vqk8o339tlDVHkH9Bq44LAyfTvacSg6cS/QXJgfOZbQlqK4M05djxgrUUJk2VBIT9bi5gZhsxC3N2GQTPtVK2xTMnBJ3qFGbGrP3kAsDrEfPLo8wS6OEa4RcnmC8M/y6g/XPkb45wuug/Yv8llvcWBQ3FsWAU9pyQdAthtxixCNGPJBZE+MeNrzIxRaFhIuPL3CROTbipMNLSe9c0jtHBz1M0I15bYTXCuFF1GUiPSZmycQvGzmPjlocxGe7M1YV5dDQc2p6VoVb2zPmptR4PWpuJKaa8PEadPRC2lieMZXjpgrMVJoeLkoMFsR6T2cGCkldCakvTvedDnW+E1YcSajeiXa8Eel4LdL6SrT1ULzlYKz5pXDDvq3avVs1z8Ub96Ua90eq926VPxMq3x0qfzJY/li6/jnPB7dFyh+KltznP/HTeOG9m8f/1fjqbejKDAAvSnJqF5/nR155/VslXcpNkvURfvAAIggAaQaiNKQAkgCrAK8usv9v7/qtFZaba+zfUvpuVm98pXvzxoHIlZ3+nQr/te3erzSvfaNx9feafX+m2Pphl++eftd+83LBaro1CXoabAKsSRABiDIizktirtzhRdje8/jko7P/mBJB5EDi5CJPlABEFrgU0L6A+tTg4Z+ELj4tqV/DFa8K2g9Smg8yA0WpvsJ0/7n04HlsuAzXlWP6ctRQiRoqibE60txATDYSk43YZBNuaaas7bSji5xVYrMq1KYmHD2Ma4hbMrCebBedXp1k12yM10Z7Zxmfg1tfFDZdnG9O8M8L6wvixiIEXBB0S2EXRNzkulWMLEJ6WYy7qJCD2LLT4Tk25lpfMGNby4CGUr75MU2jsuqMQ9sO4UXUPUp6TLTHyHr0jGuIWuwnHD3YrIpyqCiHinZ04db2jLkxNV6PmusJSz0+XpMZqUwby9LGMjnFNj1cmBw8k+z7ENUWkPpiQleU6v0g2vVOVHE0rjwa7Xgj1v5atOVj/AjW7g1WPx9vPJBo2h+q2ROo2L114amtisc3yx5NXNy99MGd0dKHQ0X3b5y6I1P2SPDUncY3b0dXpgA4Uco+tOT5kVde/1b9Gn5IrCgbXBEiEAAoQBRgMAk/7k98T4l9rTF0U9PmzW2bN7Ws3lA7d+PFye83Wf6yffJfemZ2GxePWlcvrEZ74pSegEkAO4ALYBVgHSAMkMy6zMp1jyg//eUeAD+tb/9bfZ8+P2X9Sz6BH91nBw//JFi1W1AfxhWv8oMnk+qTOX6gg8XocAk2XIbpy+VuMz5aTUzU4uYG3NyATTbglkZqpo2xd1IOlcwPzK4hFwZo13AuCIReGqeXJuiVKc5r59cdvH+e880xXhvjtbE+O7/uEDbnxcCCEFwUQ05qYxZiHkivinEPF3VxURe6bgs6x5jIMhlcmh/tO7b/iT/71vV/eutV515/ltuwY54x0mMiXXrKOUQtDpJzvZSjh3JoKLuSsitpm4KYbsMmmzITDdhEPT5Zh45elJMHUUMZZihB9efTQwWJgdNZfgwXYYMFqe4TMeWxWOc7n8iPSMO+YO3eUM2eWMOLsYYXty4+G6h8cuvCU8HKJzbLHg2XP7by4V2Rkoc2zty9deYXTN1zkYJ7TG/dga1O5/mRV17/Hv26+kOAnEEiCZCUQGvzHGgY/t6Z0ZsueG+t9X+/aePPlVv/oEvcZU49Zgmf2uIvxtg+nLOJnA+4JDA0EATwYYAAQAhgC2CLhyiXNSbhQRCAEUSSEwleInmgeWB44ET45Dyo3+r79PnpV/nBAZ8Cen2rp6D/8L9sVO4W1IexjleYvvfiyvfRwWKZH5mBIkx7Hh0qvYQQUxUxVkOaG3IIIadbaZuCnlPLR1ioTY3P9pILA6xLxy2ZuCUT7TQSThPtGRO807BuE302fm2G8c4w3hnWZ2d8dtY/y2w4mA0HuzknhJ2QWGWCzqjbEnKZyS0npP2Q8s0ZNWfeeOHv/uy//tHNO3/2t39c+MYex0AjtTpJLI0RbiO5qCXm+wlHDyG3Pea6CWsnYe0kZ9rxqVZssgk1N6Ljdfh4DTpSmTFVoIYy1FiC6s+nh4tS2rOJgdOp/tPYUCExdC7ddyqhfi+uOh5XHo13HonL/Gg99Ev8CNc+H2t4MVr/QqDqmc2KJ4KVTwUrnwiUPrJV8rDv7D2h4gdWT94ePHef0PRC8Ozd+jduw31WmR8SsHl+5JXXbyBpO/374/zIIoShBZIRWQBchCm3/3yz6qlTFx9otT2sj+6zMW+6oWAT2mkYBZgDWALYBIgBYMCzQAAkgNvimGiSZJIsENvb46IIkiCCwAosxnEZlk9xUoYFggaSBooBhv/Pxg+JzfGDBwCRAy4D9Gawv7jv1Z+uVzzFa97AOl6jet6Ldr6LDhan+85m+gtkhGSGzqPDJXIXJGO8gI1cJCZq8ck6TO6FTDWRM23ZQSybErUrUZuacPQxi1rOrefcesappxaGWZdJWpkArwVWLNyKmfNNM/5pxm+lfTO0b4b0z5A+G+6z0pvzCfdUYG40vTYL2BYk/dYhZcnxV//+z7/31//t6z/5qz84/erTa+ZeQL0QdSbndaTHRDh1+PwA5ujF7Bp8tpue62bme/AZBTHdRlha8ckWYrIZm2jEx+vQ0Yty2xw3lmOGksxQUUp7Nj1wJtV/OtN/hhg6h2vPxjXvR7uOJdTvJlTvxBRv5/gRbzmUaDkYb34p0vBCsHZPpG5vrOHFaO1zgconN8seD1Y+Fa58YqvkkcD5h9YL79s698DSe7dFzj9IN+xZPXHb0Bu3E35bnh955fXv0af0z+UlCxAESd7gi5H8tNunt7tMK0EbD/MASwCrAF6ATYAQQAwgns3u5mmB5Pk0iKnsSdV2Nz5b07AckIRIpEEgQEQlCZOAYIGggcCBwAD/z8gPib3ED0kAHgMmEB4o633tX73lWX4QmuMRxXFMez7ddzbddzbdf+7SKZa+HDdUZPQVqKkKH68hzXXYRD02UY9bGvGpFsLaSdhV8oXblJhdw8z3sc4hwTnMOof4xWHBqZPcBlgygXuE94yyXgvtt9B+C+2bIv1ThG8a91lxn5X0z/NBD0TXiHXXnL77/NFXb/vb//6dq5Gf/vUPzrz2zNJotxBcpH0zIetA2NpPuI2EU0csDOJzffhsN2bXkLNqyqFhHGpiug2ztMieV8RkM25uwMaq0ZHKtK4UNZThxlJUXySfXKX6T8v8IIcLscEzEdWxsOJISnM8rT4e7Xgj3nE43v5KvOVQvOVgouVgvHm/zI9o/QvR+ufD1c9slD++WfZ4pHJ3pOKJwPmHt84/tF54X6Dw/tWTd8bLH0Wrdy+8/b8NR+4i1+0yP0SJyfMjr7x+A30CPyC3pJf9AR6AECFBASnvZADHAscDJwAvgcgwDEUxDMPJbXAJgBWBYAWcFyn5hshJQHESTksYARQFPC8nJoEkDwOTElAsUDRQBNA4UP/p+CFm+SFPSIMoAY8DEwwPVWpe/dlq2VO8+i2s4zVM9U64/QiuLcr0F8gISfWdzZYg+lLcWJ7WlWZMFfh4DTFRi5lrMXMtbm7ALc2ynbvcdSBtXbhNSc9q2IV+YXFQcGklp05y6va4U6AAACAASURBVISFIWFhSFzUCR4DtTqCecdw3zjhmyT9U9S6lV6fpddnCa+D3lgM2EfqPjz64//+g/961eU/+6s/P/vqvpXx3rhrRNyaEzZsGddIYm6Y9Jhg3YLPDxDz/TI/yFm1/AtQdqV8bIVNNOLmJsrcTE024qPVaWN5argE1ZcShlJMX5QZPJvs+yDV+0G67xQ6cJrSncMHTocVR0Jtb6U0xzOadyPtr/8qP6L1L4Rqno017I02PBf6P+y9d3wTd77vnf+e+7r3Pnefc+49+zx3N7vJLpvkpJGQAAGSTbJJ6L13G+OGMcXGptjg3ovcZMndcpGr3C0bjDsudEgglEDATWWqRiON6kjzff742YoDJHv23LPJnqDP6/uaSKPxWCajeetbf0X7xyV7JnL3YAVeWN6+qaxdmuzdE+nbJtK3jqVuNpT4Efn7rp38dCRxt3nihpsfbrn175TwTH6AU3A4BUHgHYLVAa71Yk08D2AEBwE2HBwM8CxYWbBbwcaDmZ8ezSsA6mZAq56CAOBwgsMJDh54Hnge7HawWcHJg2Bz8BZesPDAW8FuAbsV+OeUHyAgfgiCALwJrFpNV2HL8dUPJT62ltNs/TQ/uK5sFz8YZbpemWk4l2PozjX2SZkusaEvj7tQwg2XcsOl7HCJYbiMG60wXKwyXq213Wiy3GgyXWvgrirM15utN1v5W0rhzlm41w13zzu/6uRvKp1fnePvdhvvd+sf9rHfDnJjw9bxS9bJq46pm7zqFvHlYH5MyMp5r8x/8Z83LX4v6UjAaGOt+fHX9rEb3DfDuls9zO1e6zfD/KMR050e+mqL8UslSnu4cuYobW68KDcMV7BD5dxwmXm0wjJSZrxQyPZKdV3Zhu4cri+H685iOlPotsTv8yNFU3dGXXOKaY3Vt0QTtSeouuNkbShZFUxWH6WqjpLyI3hZgKbEj6g4gJf7qwu9xsW7p3L34PleuHSfOmuXJnv3eNrWifStqswdXMVBPM/z4omPr2V6m6Zuuvnhllv/Tn2/f9BVusujuVKuBMnMMrUAiA6CFZxW4O1gt4ONB6tzet4IQohzOvc+Q6aZvo2nbea/roFXv1RQ/ICc4LS4+GFFKXSHBWy4frimKXTNrQxPa/MZXXUo1xKja47XtSTp21LY9lSDMk3fkabvEOk7MwzdOaYBKXM+h+kWM31S/UC+4UIhN1xsGpFxoxWWq7Xc5WrjaBV3ucZ6XWG70WC93mi6Ug9fn+VvtllutDlun4UHg/BoGO71WW6dNT/sMzzswb5UErfOWR4Nc98OM1/3m769dK+78ZNX/r9X/usLaUH+V5uqyRuXQD3G3b9uuN3P3e0z3x+wfNNvuddn/roL5TyYK43Ga40oZmW50WS+Wme4WMUMVxiGK7ihCtNIuXm43DRUxg0Usb1S/flcY4/E1C02ns9kO9MZZTLTlqhvT2SVSdbuDGNnCt0USyiiSEUEqYig6sNdmQ9SHoRXHMLLAjHZAbzUHyvxw8r81CX7VQWeqnwPLM8Tz/PEcz2w7D1Y9p5HiRtJ6b6x1C32muAHKZtGTnx8MX0fWKZ4h9ldf+WWW/8efY8fAnyfH84nbu6uYi00k2r6WNv3bRZCZlYJdNpm/aAAzwCJ8CTJnhN9xw/k4fEA4LSAjbTebG8N33wtdZe5+TRbd5JtPEMpYqimBBc/DMo0lEs3dmVzvbn6bjHbk6vvkej78wyDBcahItOIzDxaZrpYaRgtN46Uc5eqrNfq7DcbbTearNcb9cM1jttnYWIExkedd7qNV9uMV9u4LzvJ663WsUHzt4O62+e4+wPWb4e5+xfMD0a4eyONWdHtklT65rDt/k3rvRvCo7v6L4fMdwfR8h7Wu93WO12mW53GG+3stWbjtUbUA2++obBcqzddqTVcrGJHKkzDlaaRctNQGXehxDRYbOzPN/RIDd25pm4x151lOCvSd6To25P07YmG9iSuI8XUmcq0JZAN0bjiDFF/hpgNDxS2qjiIlwXM8MMHK/NVl+xXF3hq8jywPE9C4kGIPbRZuzWZu8ZTtmDivVNZu4wVgQ/SNg+GfnQ1xx8sGofT4uaHW279u/Tkbds5ixROlxcizORCLDMt4jZUtfU0XlyQcYIwE8gyzfop3pV0eZY78pzJiabQu/hhB9QCQsHj4a64vUNxWw31p0yNp3X1YXhtJNEQx7YlGZUpxo50gzKNUaYyylT2bKahO4ftyWV7cplusa43V9+fZ7xQaBopMY9Ox7K44VLTxUrb1Tr+RqP9ZrPtRpP1ZqvhahNzsVF/tdXy1XnnvQHhwbDjwaDpXrft8YDh3nn9rU7LN/3c3T7dl+e4OwP8g4uWu0Mw+TVov7Hducx9Oczfu2r9epi/12+/122/c856u9P0ZbvxZjN3vQkNALZeV1iu1Zuv1pku1aCueHakwjwiNw+Xmwdl3EAR11do7M0zdkuNPRLufI7xXIZBmaZvT9K3JrJtiZwymetM0rXEUE1RREOEix94zXGsKtjFD6L8IFkWQMj88FJfrMRHK/NRlXiqC/Zq8vbgeZ6ExAPP2YNn7lKnbVeJdqgz9xB53li+9/20rb3HPrxdHAJWNz/ccuvfrR/jx3cIQUeidhDr90nwPX/C+T1zfJ8fboQ8Jf5Z/LCDXQfkVxcyAs6HryOrjllbIpm6U3hdBNkYz7YlGdqTET/0bSm69hSmQ8SezTR0T/OD6RbreiXsQL5xqMg0UsINFXJDRabhYvNomeVylfVanfW6wny9Ge5383e7TV+dZa52kJeUuhtd9m9GQXUTtFct97vJay3me90wcYm71UVdaeXvX+C+PA8PL8E3o/rL53QXO7nrPbZbQ/ydC46vz/Nfd9hutVu+bDZfbzZdazBda7Bcq7ffbLReV5iv1nGXqhA5DKOVxpFyy0gFClsZ+grYbgnbLTH2SMw9uVxXJtuZzrQl6lrj9a0JhvYkTplo6kgiGiJm7DSpOE3VnyJrp3sGqaqjVOUhovwgWeY/ww9vjcxLVeKpKtyrzd+L53mSuR5E1m4sY+dk8hY8c7datJspPjCWuetO6ubuY3+eaIgFm3ameNfND7fc+lv1FD8E4GeqgVxjqJ6duoCZFWX5Z8WxbILrMY9CWK4kiosfju/9/lmsel40ww9hejalFQCcDrDrwfjwetGp9tAVUyWHbK1RutqTdGOMrjmeaUlALoihI0XflkK3Jes6UpnONPZ8tr47W3c+Z8YFkRovFHJDhZbhAutIoW2kxHpRZrlYabpcbbpSy11tNN5opy41UZfbLXeHYOKm8e7orY6ajvzEx31Vxq86+G96HQ/64NsL9rs91ttd8O2I/atu+HYU7g06b/fCo4vwzZDtWpf9eqfty7bpDMcNheVaA0qx2G8o7DcU1mt1psvVxpHy6XrikXLjSLl5uNx8oYTrKzT05LNduWxXLnc+19QtNpwVse2pTEsC0xJvaEvklImmtgS2NQ5XnCEaIqiGM1TDGVpxmqo/5cqcP8EPotQHK/FWl+6bKt6D+EFK95KSPXjmLm369qmkLUTWHizLgyk+cC9128249f2nPjP25br54ZZb/wd68os//xQ/ZhDynWPhBIEH4AWwO8BuA7sV7GgtwO+5JmihJ3BOz5adlU35vjkdwAtgF8AqwC9gPai/STw4nuaHAHY9WCYeKpLaQ1c+yPU2NZ6ma06wrQm65niqMZZpSTC0Jxvak/VtKUxrsq49helMY85l6ruy9N1itDShvl+q788z9udZLuTbhvP50WLLaIlpRIZGK7JXFMyVZv2NDu7OoPHu8OMLSkV2/IENX3z08j/Log7go/WgvWr+qpO+1OS80wPfDDhvn3fe7oZ7fXC3F+71w4MLjhudpovNcOuc5YrCcq0emfW6wnq93na93na93nK11nylhhutQPBA/DCPVqC0B+KH4byEPS82dom5rmxjR7q+PYlpSdC3JnDKRE6ZaGiO1SkiSUUEmrZLKk6TdSeJ2hNkbShTd5x6Jj9KvaaKPSaLdk8V7NHm76XyPOjcPUTmLk3aNlXyVjxzNy3xJvK876ZsHTmz/HLsGrhVA3ZsBh5ufrjl1t+qJ0uhnsUP4XtzeVG62wFOG/BWsFrAagKzBcxWMPOIAYJzJiniBIcVnBw4rOCwg5Of3VmCyMGDnQczDxwPRgdwwi9hUah/u36AH7wBrBNkd97ZU2tvi/boa09Q1ceN7UlkQwypiNI1xaIolr49Sd+exChTmc40ulPEnMvUd2ezfWJDn9TQJ9X15jI92Vy/2HJBah8pso2UmIdlxpFy46Va47Vm+nIz/3DYcGeoq1Tkv+GzBS/9r0V/+u2WP7/TlhNBjCjgQb/+UhM9orDc7LDe6DBfabbf6LBcbrZcbrZebuZG6vSDVZZLDfB1p/lyreVqrfVaHcKG9Vqd5XKN+ZIcTXKcHqbicj5GK4z9hVxfoam3kOspMHVLjV1iQ2c225lhUKbpWxP1zQnG9iRbZ4pFmaRviMKqTpGKCKohkmo4g9We0laFaOTH8OpjutpQFz+o8oOUzJ8s/R4/VPm7sPzdiB94xk5tylYsdTuWvpMrPjiV5XE/bXtv6Ce3RTthosvND7fc+j/QLOdDABCm41dPpUCEGRdEmF3U67SC3QLWGXiYBXQPFOzgsE+3CvJWcJi/44dzZgz7dOyLd4DVAWYHcDxwDjA/Z/z4bn4Jqt/lBeR/GMGmYkerlVHbr6R54lUniMrj5rYEsiacqj3NNEQZW+IMbYlsWyLblsQqk/UdaXR7mu5sBtuTY+zPM/bn6fuldI+YPJ+t6801DOZzw8XGURk7UsaOyo1XGribSuJS89m82MMbP1r8+/974Yu/8l37F4UkdeLiORi/aLvVQY3Ucteb4Jte681WZqjaeq3Zfr3FdEnB32iGW0rHjUZkxhG55Uqd9Vqd/XqD/YYCuR3cqNwwXMYOyWaHrbjRCvNohXm0zNhbYOrNN/XmW3rzzT15xi4xgoehPVXfmsi2Jpg6UuxnUy3KJLo+Ql1xnK6P0CkiqfpwrPqEquyoquwoXhlE14RSVcG0/Kiu4ghVfpCSBZClfkSJL1bqNVG8faJoqyZ/B563l8rzInK9NBl7JtO2YaIdeOoWoTRQlbx1LH3X2aN//lLqB7qL4KCE7/zsXy4//ta5pD90/N96HreeP30/CY4kPE0alw+BMOCizuwmdmT891bvmHWtuVaoctlzFb+aPX9sOtTnAOCdYDeDSQv4V52iw61Ru4iGOKb2jEF+wl4fZlGEGRQn2bqTxsYzlvZ4c2eyUZnCtCZrGuLpThHbk8t05+p6JexggX4gH+uRqHrytUMybLgMH6nUXVUw15oenS8dKk88vvWjte/8v/P/5YVNC/8giw2aGFaaHlw23O7jbrZZbjZYbjZYbipsNxpsNxTILNfqkFm/b7YbDbYbDdarDebLtdzF6d5ydqjceKGcG6owj1ZYLlaaR8uMQyVobVpjj8TcIzX3SC09uabzOYazmagQgOtI5zpSjcpkti2RbU3Qt8QzzTH6xmhjc7S+IYKsOYXJj2MVwXjlMUoeSleF0JXHiPIjWPFBrPgAUXqQKD2IFfmrCnc/LlozXrxaK91CiPdqs3wnM30fZno8EG2fSF7jLNhrSVxjSd5479SKtiN/edyVCfaHIBgFweEyNz/+yvFufrjl1j+IhJmaAge44IHMCnY9MI8GyhPqI3c/kJ1ka09zZcF2ebCj4aSp4aSx/qSh/hTXFMG1xnPKZENHiq0vl1SmqZqTMKWIPJ9DdovpXgl1oXBqsPRBT+HDnhLyWqPhduf1puwzez9d8OsX3vufL+z/7PXqxKMPu+XG233c1/309XPEpUbTtQbL9ZqnzXqj9hl2vd50pZa7XGe6VMddrHVNReRG5ajPwzxaYRopNw2VGgeL9X0F+h4J6hM0d4tNqGD3rMigTGOVyVxHqlGZYmhPYtsS9S3xTHOcrimaaYjSN0To607T1adI+Qmi4hhZGYL4QVUE47IjeEkgXhJIlB7CSwK1hX5TBbvGS1dNlKzApVvI7L2aDL/xjAP3s/bdz9yBiTfzks183DJb/Lq7x1ecD9s4fkkOghrAMvs26ObHXznezQ+33PoHkWt+/nQN9Hf84IHnwKR60FNRF7FrJHWfsS7cVBpgLwt0NJw0N54yNYSxdSeZulNMQ5ShLZE7m2bpycFakzWtKah+V9OZgZ3LYkdK6cs1xlut5JW67sKwE1sXrnjtv6x6/b/u//RPTelBV2pF5MVGy+0u3ZU21UCterCOvtTIXq42Xq582szXqp9hV2vZ4Up2uNIwIjeOVnGjVaaL1eZL1eZL1TPkKOMulBgGitj+QrY339AjNfdIzd1irivTcFaEqpANHSmGjhQED0NbItuawDTHIHjoFJFkzSm6+hRdc4KqPk7JQyl5KFkZTFYG47IjmOwQggdRehArPqAp8J3I2zVVtlFVshbL3aLJ3DWV7jWW4f1Njse32dsNJbuMWWvMsUuNMatvBC+7lOJnfNADQLr58bcd7+aHW279g2gm4eScfuKcXZdmBQtuuNvXHO91Nnydsea4XXbALvOz1oZwjWGmxtOGhtN0XThVH65rimWVSWRLPK1MYc5lMudz6K5sqlvMDRVZrsqpS/KeovCoPR+te/O/ffS/X9j2/v/MD91yuznT9GW7/moTNVJLDtfoLtbrLzewF5uY0VrDRbnhUsXTxl4sf7aNVHyfH1XmS9XmS3JuuMw4NE0OfV+Bvq/A0FfA9eWbusVcV7bhrIhRpqJeelaZbOhIYVE6pzUBeR50Y5ROEUkrThOVx0n5Car6OF1zgq46TslDiYogvPyotjRQW4rgcQgvCdAW+avyvCfydmnKt2mKN2rFW9UZOyfT946J9j7K2T0m3mqU7aTSlnGJy7GoFUNHlt4tOg3kbQAWBJubH3/D8W5+uOXWP4ycM5U/zmn/Y6bCDQQerDTgty7khbaFLKdLDkC5P5T5GSuD9PVhpuZIY3M0ozhD1YeTiiiyKUbXnsR1Z9Fn0yYaYrXtacYLBWpl2kh+cOK+jza986sF//TC9vf/qTR8x53WTHq0ir1UO3W+kOiXGUbklit1tmsK8+Va43C1fqjCeFFuvFjxtLEjZc8008UqZNyoHM3TNY2Um0bK9X1F+r4CtjcfLY9o6Mvj+vLN/fnGrmwUs9K3pTBtiUxboqE92ahMceU8kOdB10dQ9eFUfThWHjKT8zhOV4WQlcFE2VFcdgQrPoiXBBKlB/GSAKzIX53vMyXdNyndoy3dpS7cpsneoRLtmEjbNS7aOSbeOiXdROWvVyV/wqat/vb0soFja9TNEjCpQeBAsLv58Tcc7+aHW279wwiNKjaDwLvqFQRhpi3fpgfu0aOOnK7wdY9F26DyAJT56MoPkzWn9A0RbHOUvimSaojEFWcwRSTdnmA6n6HrSFY1xbI9ObrzOYqT67e9+sLS37yw/8Pf5AdvuFYVTwyW6y9VMcMV9AWZ5XKNcaRSP1BM9eTregrY/mLugswyUsGNVhgv/lu33GiFCx6mkXJuuMw4JDNcKDUOFut68vQ9En2PZJofvRJDr8TYI2Y70/UdaWx7qosfaFqJK+dBN0bR9RFU3RmyLoysOYVXHiPkIa7IFVERhMuOaEsDET+Q56HO95mS7p+S7lPleaoLdqvzdqqzdqpEOyZF2yeztqkkmzX561TZSyeTPibS19w48cVotIftcjvYGXDaQfjevGc3P/7K8W5+uOXWP4x4AA6AA8GO4leCc7oKzQEADjNY1fbbbUOJu66eXgZyf6F0P1MejFWF49WnifozdGOUrimabIzEFGdU9eE6ZSLTmUKfTbMMSnBlqvzo0i1zXigJXtcnDdH2FFqu1RtHq/DeQvVZ8VRHNtmVq+3IwpQi/flcfrgErlQKF8usQ0XmYZlxVGYaeXJrHi3jLpY9sTWPliFmGIdkxsFSw0AJilYZ+vL0PRK0sJWxT2rolbDns5lzmXSniG5L1rehCYlJbFuSvjWRaYnXNce5EuaoWhfBg6g+SVaFUvJQqiKYLA9CngdeEogVHySKA4mSALz4gDrfZ0rsMZmzVy3ZhxV4qXP3qHJ2qbN2TWVsV2Vu0+Rs0kjXE/nrxkWfjKf+ZTx1bX/IZ19JT4HmLtjMwDvA+b3boJsff+V4Nz/ccusfRjyAEcAIghXxwyFMTxjjAQDsYMdAe/litm9P0EcgD7CX+DBVp9TyM1MVp9TV4aQiim6Oppqj8YYIteI02RpDtsZpGqOp9kSmS6Sqj72Wd3SqPZPsL9YNlGrOSbWdEv1AsWmoFK33Zx4ssA8Vm3ty6fY0qjXJcFZkH8i3DBWjFUT+jaYfQOmNIn1fATMTrWJ7pcbePK4/zzSQb+qTGHvEzLlMoj2VaE2kmxN1rQn69iRWmWxoT9a3Juia4+jm6Nk5D6o+nKg9RVSfpKqPo7AVVTEdtkKeB1Z8gCw9SKKa3Tyview9E9l71JJ9ZKHvVNYeddYuVeZOVeY2dfZmbe4GQrqOKlg7mf6XsfRld1LWtx1b9k1NOpgJsNvBzD9H/AAAp9MJAOPj476+vn5+fp6enmFhYampqSkpKVFRUSKRKDo6Ojc3NywsLDk5OTExMSIi4ujRo76+vj4+PgEBAUeOHDl27Ni+ffsUCgUAWCwWdEKWZX/ev84tt55L8QAGEAzgtIBTcDrBLkwPmrQBWG2cwE6A5aG2M6P96MePUzZxJQdIefijkrDJijO4IpZsiNa3xxs6ErWKMKLpDNZ0BmuKxJtjqNYEXUey4ayIPS/GOrO1Z8XajhxtRxZ1TqzvkZj6C6xDRaiO1tSTbe7OtPRk2XqybD1Z5t4cQ59U35/HDuSzA/mGwQLjhUJuqIgbKjIMFhgGC9iBfH1/HtMnpXtyqW4x1S1mB/KN/fmGvgJDXx7bKzX0SNluCduTa+7P53pzDd057DmRriOVak8m25Ko1iRjR7pRmaJvTaSbYunGGKohmmqIphujmIYoXcMZui4cuR0ESpjXnNDXnmKqQlG3B8qWo4IrpuIIWXoAy/eeEntMZO+ZFO/WSDxw6X515h5t5t6pjO2P0zdgks2G0h20ZO3DuA81mSuunF48ELGsL8WTu9kBVgYYw9MLzvxi+YFktVqdTqdKpYqKivLx8VmwYMFLL7304osvzp079+23354/f/6LL7749ttvL1my5I9//OO8efM+/PDD+fPnv/7666+99trrr7/+xhtvzJkz580330xOTkZnM5lMbufDLbd+Jrn8DxviB+8EqwAWAM4BAvAgMMBPwZ32vridQydW6CtCdfUJY5VRquoYsjGRbIo1dCSbzydTLWeIpnCiKZxoOoM1RVLNsVRrAqtMZjpEVGcW0ZlNKLMIZQalzNSdzWLPi7nzOeaeXHNvjqUnZwYembaeTHNvlqFXwvRJ2V4p0yfV90h0vRK0NfbnI1SwA/mGvjx9f56hLw/Fqb5zOPrykc9h7pcaunOM5zPZcyKmM03XkcookxllKqtMNipT2LYkpiXexQ+6MYpujGIaI2jFaao2DMGDqD5OVR/XVYcyVaE6eQhVGeTiBykLJGWBdNlBosQfy/dW5XpOindP5e5R5+7V5npoRbu1op2Toi0TWRtx6SYmfyOdtWoy4VNNxrrrMcvbw1Z+WR0tqK6D3Qh2AMtzww+O4wDAarWipwgkd+7c2bdv36uvvrp48eKFCxcuWbLkrbfe2rFjh1KpJEmSJMnx8fFr166dPXtWLBZv27btpZdeeu211+bNm5eUlOQ6s81mQ16IW2659dOKF8AigEkAuyAIghOQC2IFMPKCADzwDBjHQHv1S1lkU9BqvCpa35rFdkr1yqxrWYGFnguKvN6/kbvf2p9KNocRTacQQsjGSLIphm6Ko5sTdcoMnTJTp8zUKTPodhHdnka3p+na07iubK4r03Q+y9ydae3NtvXl2PvFtgEJ1y8x9ucZ+6RsrwQNhNd3i3Xnc9ieXH1PLtoaeiVsr8TYJ51tXC+yXK4319ybw3Sm6TvQCiXJjDLZ0JFs7EzlzqbqWxOYlnimOY5ujJkmR0MU0xClqz9N14VTtSeJ6uNkVShZFUpWHaPkx+jKY7qKIKrsCCk7TMkCydKDlCyQkgVSxf5kkR+e76WVeqpz96rEe1Q5uzTZu7D0naqULWOijSrJZly6Ac9eRaYuw1JWTqVuuhyzviVqG3G1AWxqsOiAB4fB/rzwwyWz2cxxHIo42e320tLSN998c/78+W+//fa8efPeeOONgIAA18GzwXD//v3y8vLFixe/8sorERERs89pMpl+svfvlltuIQng5MHGg82JVn1HYyqd0wMsLQ4zAAdOGmwq7mZH/am9reF7HlclX806pghaF/bJ/976mxeCFv6XntgNXHc81RpGtYZRzWFkYzjZeIZsjKQaosmGOKY1Vd+WxranI9O1p9FtqVRrCt2WrGtP0XekGboyTD3Z1v5c+6CUv5BnHcw3DxaYBwtMA/mmgXyuP++Zhl41DeSjI7leqbFHrO/KYrpcDkeqrj1J155Etyfo26cXozV0JNNNscjz+B4/GiPounCqNoysOYH4QchDCHkwWRlMlB9B8CBlh1HOg5IFUrIAvMAHL/DB872wvH0aiYdKvGcqe6c6YweetnUyad1YxlpN3iZMsn4yZak2bqkuZeODqA19YeuHC04AcR2Actj04HCCxfG88OOHUhT9/f3vvffekiVLlixZ8uc///m1117buXMnzCKH2WxGQSqn02kwGEJCQn77298ePnwYAEwmk06n+8n+BLfccmu2BAArOKzg4EFwCt9NDnMK4ACgGQLABE4WeBps2O2Wkppw39KDm4I++M3af3lh6+9eiFv1Um/CtonakInaYMQPuiVM1xxON0bQjVE6RTRZH800Jeqbk9iWZGNbqqE9lW1PZdvTGWU61ZpCdjASlwAAIABJREFUtaXS7dODe9nz2WxPjqFXbOrLM/Xlmfvzzf35loECZNbBQsdIqWOklB8usQ8V2y4UWQcL0UvGHrGhO8fYlc2ezWQ6RLQyhW5LploTDB0prDJZ356ka41nWuJ1LTFMayzT+iQ5dIpIXcMZWnGarDlF1pxAfeZk1TFCHoz6BDHZIaL0EPI5pvlR7E8V++P53ni+F+KHVrJXlbNrMmvHlGgLkbZZlbRqLHOVOn+DJnf1ePxfNFFL6fitt06s7z6xVXuhCuyTADoHcLzZCA7n88IPABAEwWw2A4DD4bDb7RRFURQ1MDAwb968d999d/78+R9++OGcOXO2bt3K87zD4UA/ZbfbUbALPb1+/frcuXO3bNmCnqKwmOtgt9xy6yeTA8ACYEYNhLP7z52CAE6z1Yi6Q3hWSz74sjYr0fPP8zb98X94vPrfopb9qyJkw03JYawlhumMmagLwptCyabjdNMpXXO4vumMvjGaaYhhGmL1ili2Ic7QGG9oSjK0phjaU40dGWxnBtMhojtFVEcG2ZlBdIjwjgxMKcKUIl1XNnMuW9+Vw54XG7pzjT0SY4+E65Wa+/NNfXlcr9TYIzF05+q7cphz2cy5bFKZRirT6PY0nTJd15E6k+pINnamGjqS9e2JutZ4ujmaaoqatpmE+XS1VX0EqtZ15TwQP/DKILz8KFZ+GOU8XPAgSgKIQl+8wAfL24dMI/FQi3dPZe+cyNw+JdpCpq3HUldNZK+YlK6ezFo+Hv+5+vRy7ektN49t/lIUAuobAIRFoHgwcywFzifndf6S+QEAiB92u92158KFCx9//PHbb7/9zjvvLFmy5I033kC+BQA4HI7Z8SubzWYymbRa7dGjR48cOUKS5E/85t1yy63Zckx3f4D1O34I4HCA027nzQLYBbDjxGSXsinkoO9f3nvnj//XC17vz8nzWv6gMoHrK5yoj7lbenSiNgRrOTlVe0RTF4TXh1KNp5jG0/rGaLYhVq+IMShiDIoYtj6aqY/RN8bpm5MMben6DpFOmUF1ZJAdmURnprYzQ9OZpe7I1CgzyY5MuvMZRnVkkEoRqRQR7elEezreloa3pWGtqVRbKtWeTLUn08oUtB67viNF35HCKpP07YlMyzQ8yMZIqmHavst5NJyh6sOJ6pN41QlCHoJyHijtQVQEYeWHNbLp8VbI/yBK/LEiXyzfW5u3fyZytVcl3j2VvXMya8dE5tYp0SYybZ0uc/VU7spH2Usfp38+lbRME7768bF1X5/Yy5+rAsskAG0GvRk4h80AzifXK/vF8mN2ioKiKJipvj179uwXX3zx7rvvzps3b/Hixa+++mpgYCDyKlBFM8/zOI4/fPgQwzDXqQiCgGfRyC233PrJ5AAwzywb5UQrfzin+YHGKJZVlGzfuWXeu2/9r//nV9vXrT8rK1ImBA8mH7xbdFpVHz9RfUZdG0Y0hKmqjk5VHFTLD2E1wVT9CV0Dai2MZRpi2IZYtj6SqT1D1URQdZF0QyzTkqRvSyGak4iWZLwtjegQkWezyPM5VLeY6c7Vnc3Sd2YwHZlMh0inzKDb06i2dKotlW4X6ZTpOmUG2jIdInQM25mOgIHcDh1a0qotgWlL0LXG61piXPxAPgfdGEU3RkznPBSnybqTeFWotvLYdMKj6hhZFUzKg/CKI9qyQxpZAF4WiJcFkjP8wAt8sLz92tx9VJ4XKf0ucjWRuXU8a+tU5kZctIrJXYeLV42nfDaV+DmRsFZzev2tI+uuR/vB5HVwEg4wmsBqcJrA6QST+TmKXz1T586de++99xYtWrRo0aK5c+e+8sorhw8fttlsNpuN4zie5wEgKipq/vz5KOrl/AH93H+HW279EvRXW3SdTqfD4XA4HGiX2c6jJgSU4DRzJifvsNss5851Hjjg97vf/fbFF3+zd+9uRV29ekoFPHtHnthxYu1Q/E6iPlJbdVxVdlRXe1xbdoiWB9PyYLIymKwKJWpPYYozWEsM2RpHKiKmS5vqzlB1Z6iGSKoxRtccp6mLwBRRWGMM0RpPtSeTHSlUZ6quI5VuS9W1p+ja0xhlqr5DpO9IYzsz2M50w9lMw1kReoz2M8p0RpnKKpOmXY22BF1rPNUcSzfFUk1RCBtEQwRWfxqrP40rziCEGNpiDS2RtOI0XnMck4do5UFYVTBefYyqDiGrgvGKI9qygxpZgEYWgMkOYuUBRNUhrPKgttRfU+SjzfPBJN6k2IsWexmk3ox4H5axcyJ966O0jY9EG8ayN0/mbtIWbFSJlmEJX9DRS9nTKw1Rm8fCNncfWu38shX0t21AM8BRYLMBgA3A8uRyM88dP77++uv333//tddee+eddxYuXDhv3rxjx44hxwLpzp0769ev//TTTxFL3Pxwy62/n34cHk/0Ws3ej0rzzWbzuXPnAgMD//CHP7z11ltbt24tLi6emJiY/gE7Y7/ZeEnkdS5s7T2xH1YWRJcHcfIQXWmgvvIoLQ8m5MF4Vaim+oSmLlytiNA0RNKNEUzjaX1TpL4pUtcUSTWcIerPYPWn6aZYXXOcrjVe1xpPtSaQLfFkSzzRHMe0JuvbUlzGTqfcUw3KNJe5drLKZLYtUd8Wp2+LY1pjdS0xyOGgm6O1deEubKDMB90crWuKZBojaEUYWXcSrzmOVx/Dq48RNcfI2hCyKhivPIpXHNKWHdTI/LVlBzDZAaw8AKs8qCk/oC71Uxd6Y1IfIteLFnvpczxZ8T4mey+esXNKtGVCtPFxxvqx7I0TuRvGc1dOiJYSsUttiRsgftf4kVU3j214WHwaiMsAUwZgKLChvIebHwAAg4OD77///qJFiz755JMFCxbMmTPHz8+P4zhXvKukpOS1115buXIl+oLjnl/illt/P/1V52M2M1DoWK/Xo+923d3dhw4dmj9//ksvvbR8+fKsrKypqSl0sNlstlgs4DSC7Zvx9pTOM1uGIrdqJYetshBTyVF9oT9dEaitClTVHFHVHlPVhqqqT2orTmkrT5B1YbQiTN90xtASaWiJ1jVFkorTWO0pdHMnGqOp5li6JY5uiaNb4umWeF1rwmxDO9F+NO7wCaNmiqmQuZIc2powvO401RCpa4pGU3WphkiiPhyvOYnXHCdqQpCRtaF0TQhdE4JXHMIrDmHlgdqyg9pSf0x2AJMdwMsCNDJ/damfqshHU+CtkXphEi9S7EWLPcms3UTmDky0RSPaOCXaMJWxbipz/VTWmjHRF5Opn2vjllpFO42Juy/7/uV6pCfcVgL/GADjwEiDRSc4efhu8PFsPXf86OnpWbRo0ZIlS95///3XX3/99ddfP3nyJHoJx/H6+voNGzb86U9/OnDggNPpNJvNbn645dbfTz8Sv5otFEy22WwA4HQ67Xb7w4cPly9f/qtf/erzzz8vLi7WarXoVYQZ9AkV7AwIE7aHHdeKTwyc2f44cb9FcsQiDTDk+xAyX5Xcb6wucExxdLLumLbqOF12gi49jpWHaKtCyLqTuoZwfVMkmtpLN0aQigiyMZJsiCabYojGaKIxGm+IxhRRVHMc1RxHNsWSTbFEYwzeEI0M7UGGjqGa43TNcUT9mdlGKiKQodmOyKiGSLzutLYmTF11XCM/pq0KwauPzSDkGFkVTFYFa8sOItPI/LWl/i6EaIp81IXemgJvdf5+jdRLK/XEcz0I8V6NaKtGtBnL2IRlbMAyNmhF6zTpazWi1aqUz8fj/4KnrMWSt351YtXI8U1UQxYYvgHbFABtBo4WOIPg4GGm1O05z38MDQ0tXLjw7bfffvvttz/66KMFCxYsWbIkJCQkKCgoICDgww8/nDt37rvvvuvr6wvuOl233Po764eAgTwMJAQPnueFmbAVAIyNjUVGRubl5d29e3f2CWeXt1itegAMHA/0l+uvpAReP7YZi/Gwiw84ZYFY8b7xyn3f1vk/ajiorj9GVR83lp3gZCeIsmBN5VGtPAivPkbWnKDqT+kawumm0+bORFNHgrE9Qd8WRzVFYfWn1dXhU/JTZEM02RBNKKIIRRReH4nVRWB1EdraM2gPoYhCB7iMaojUNZxBxjRGuGwaVIrTZF0YXnPSZZg8BK8+huqsCHkQXnkUKz+sLTuoLQ3QlgYgcuCl/liJD1bioy321ebtx6Q+GqmXRuqllnqoc/eoJbvU4u0TovVTGes0GeuIjLVE+hoibTWZsopIXk6mrBiL/lSbvvlW9LqWgE/ulp4G4gZYJsGidfKMxWHinFYbONF9UHjqdvjc8WNgYOD9999HyY+VK1cuWLDgN7/5zcKFC//1X/913rx5L7300jvvvDNv3rzdu3f/3O/ULbd++foRn8N1DEqho8fTgSkAmDWdyGw2z27stVqtLMtarVYB7HagATRA3VLV51wK3XE3ZLMpyw/kQUSxx2T53kc1Xo/r/FW1h6iqYIvspEV2kq0KpapDCHmwVh6klQdh8hC8KhSvOa5vimSao/Qt0WxrHNs6ncBgWuJnqBBNNkSTCBiKKEIRpWuKpZtidU2xVGMM3RgzfYwiwtASjSJjhpZItjmKbY5AW7IuDK85rp12OI7jNcep+nBGEU7UhKD3g1ce1ZYfRkVW6tID2tKA6ZhVqT9W4qMt9lYXemnz92ESLyLXC5OgOSV7pnJ3Toi3TmRvGs9cN5m5Vp2xGktfSaStpFJWUInLqPilTMrqx5GfPUzeNBy9vj12p+FmMzimwKQGhwGcVkFwwMyaj06w2x1PJkCeO36Mjo5+8MEH77777ty5c+fPn79gwYKAgIB79+6p1er29vaTJ08uWbLklVdeOXLkCLjnlLjl1t9ZPwIPnudNJpPZbHbBA+23WCwsy6JoFcdxrqnYNpuNYZjZn1kBeBtYHU4aeALGrowVRF87tW0iYQ8j8aKKPTWyvZPleycr9mvK/UhZIFt6zCAL0cuP0dXH6OrpMBFWFayVB2kqj6rKjqorg/Ga46TiNNMcZWiL5ZTxpo4kpjmGaY5hm2KY5hhDc6y+JRZtze2JnDLR1JbAtsYZmmOZ5hh9YzTTEMU2R7BN4WzjGX1jGKMIZxpO6erDdIqTmopgTeVRTUUwghZRE0LWnKDqjtM1odR0ndUhjSxQU3IAeR6E7AAystQPL/bRFHip8j3UuXtRtRUp9sJzPdSSXRPirWPZ6x9lrZnIWTuVtUadsVKbtgJPWkYlfkHHLaXjllNxqx5HrxqNWDWUuW98qAgs9wAou4MB4EFwLe/odApWKxjtYBGec3709fW99957ixcv/vjjj+fNm/fyyy+jVIfrgLi4uN/85jceHh7uUSVuufX31o/wg+M4DMNIknQlNtAsOxdFAMCVEYHvD6+zWCxWq1UA4MFJUipwsGDVWEaaRuJ9LkVsvRW7UVfiS5fsI4o9tEWe2sL9ePEBojiQlB3GZAeJysN0dZC+7ri+7riuNhRRBKsKRr4IVh2KVYdqqk9oq45r5KHG1hiuLZZrjTe1x5naEszKeIsyydKRwJ9Ls59LtnWmWDoSTG0JXFusoTnW2BxN109TgagJIauOYVXBeGWQVh6kLT+iqTxKyINd+7GKo5qyw3T1MVIehJUf1pQcVBf7a0oOYLKDZFkAWRZAyQIomT9Z6ocVeWvz96kke1Q5u3Q5nvocT1rsSYj3qsXbJ7I3Pcpa8zBjxZRk7WTOanXGSk3qcixxKRH/BRW7jIpZqY5e8zBuc3vI0uGSY+C4B6DRcpMW4G1OwWkHsAHYAXgrzxttYLABJwA/+3/fL5YfP3Rd9vX1zZs3b8mSJQsWLFi4cOE777zj7e3tugqNRuPU1NTq1as/+OADvV6PTjV74K7BYACA+/fvd3Z2FhcXJycnS6XS8+fPj42NuX41+rpkNBpdT9GPT01NNTc3y+Vy9JTn+Z+xDvhH4gZ/k36u9+/Wfy7ZbDbhWVW5rhgU6vBAj81ms9lsDgsL+/jjj8ViMTrGbrf/SD7yh65Pq9kGvB0EMzhpMD3SXakdzQ5Q+C9Ri73ZPG9Lno8hd5++yJeVH8EqD31bsB+lozHZAaL8EFV5hKo6SlcH0TUhWMURTeVRlBrRyoO0VSGYPASTh5A1J8iaE2ga1RNbovo4Gq6OV53Aq0Ix+XFMHoI6/qiq4Ce2upoQuiaEqQ3V1YbqakKImZZAVUmAujhAU3IALwkgSg+SskCyLAANYyeKvLECL02ep0qyRyPZq5V64HmejHgfk+2BZ+xUpW0eT1/3WLTmceaqseyV32Ys0+Su1uSsmUj4bCL2Myp5DZO8Thu77sHp9V0HP79REAyaQYApC9AsWHXAWwHAAWADsAE47AAmOxisYHze+XHhwoV58+YtWLAAjTB58803vb29nU6nK6jK8/yBAwdWrVo1OTkJAA6HA73k8osjIyMDAwMLCwsHBwf7+/uTkpJWrFixYsWKsrIyNDgL0chkMlkslr6+vtzc3KSkJH9//48//njRokXh4eHoVD/vzdfND7d+RrmKqdBjlmXRh8JisXz11VcKheKTTz75wx/+sGTJkpKSEtSeJcxKnj+tZ1+caECWE3i72c7TAAQYv37Um3c2dtfQiTVkmhcUBfG5/rocT53Mn6g/PFUToJL5aEr88GmEHCQrDlOVR0j5EaLyKF55FK88inwR1IqBV4UiftA/sKWqj6P5uHhVKFkVSsiDqapgquro01tSHkTKj7geE5WHsfLDmOwQmodIlB5ERpYeQIYVeGnz92nz92mlHsiwPE9S6klm7qEydmGiber0TZOitRMZayYzV09kr5rMWj6WvuzbpC/GEpZpU9dSos2ahHV3w1cOHl7xVeZR6/VGcI4JQOiAocCmRyt9OGf4wbv5MaPh4eH58+cvWrRo3rx577333ty5c/38/NDxLoScP3++sbHRNSoRXegGg4EkSalUunz58o6Ojtm/q7e3d9GiRXPmzMnIyHC1IiLf4saNG21tbe3t7WFhYb///e9ffvnl9PR09Ot+3qWo3Pxw6ycWyk+4PmVIVqvVdRVNTU0VFRWtXr3617/+9euvvx4UFHTp0iX0nexHyIH07IvTgcIvYOPtlJm0AisAZievPeqUdAStvxG6iYrxdGQFWAsCiSLvsQrvqboAtcwbK/HBi33wUl9C5oeaKvCyALLiMFF5mJQfIeRBKDVCVR+jqkPomlC6JlRX/ewtXRVCVYdQ8ukpVWRlMCk/QlUeoiqf3OJlgXhZAFF+iCg/SJQfwssCMNlBTHaQLj+sKz9Ml6GRiAfQMh5Ekbc6d686d69GsheTeuB5nph0DybdQ0j2aNK3a9O3a9M3a0UbNRnrNJlrNJmrNJmrJjNWPEj47Jv4zyfT1+PiXZNpW2+Fr7gQvOxqor9tpBGsEyBgPDB6MNHgYF38QCEs3gFg4cFoB9Pzzg9Uf/XRRx998MEHiCK+vr6oWNB1cbvCSrNrAXU63cWLF1988UWxWAwzC1IxDIMeFxYWzpkz56233rpw4YLRaLTb7ej7lNlsRie/evUqGhcvkUjQmWdXKP70cvPDrZ9ST4RqBUGw2+2uL1sEQZSXly9duvTXv/71/PnzAwICLl68iMbWzT6DKyb8tH6QHwYH8OAAYMFGgdECLAAB1N1HlaKRkN2j3svoRG+Qn2JK/b8p2DlW4amReeEl3kSJLzK81HfGFzk0bZWHicqjhDwIGV0V8uNGyWfIURlMyoPIisNkReDTNrsH0GVkWYALHkSJP1Hoi+V7a/P3afI8VeI96tw9mNQDk3pg0j1ayW5tzk511vYp0ZYp0RaNaKNWtB4XrcPSV2pSl6tTlqmSl44lLJtIW6fJ3vEofeuViJXDp5YPRe3gLzYDOwE84bRobcBxYNcBzwJYET94AB7A4QDB5gQL/1QD+nPHj/7+fjQ58f3331+wYMHcuXO9vb0RJ57+ZjQ73qrX64uLi//pn/7p2rVrer3e9XkQBMHhcPT397/77rt//OMfIyIiUOIdHYCSH06nE8fxlStX/ulPf0pJSTGZTD97Z8l/FD/+Vv28f7VbP5dc0SqLxTIbAwzDyOXyNWvW/P73v3/zzTcDAgJ6e3tdHy6bzWYwGFwfTNdJntazLzYn8BwPdrABcAA02Ehe7xBY4GmYuq2pEo+E7L55fLM2Yz9d7KuReapke4jSfVTJfqrEhyj1IWW+hMyXkPkRMj98pkdPW3YAKw9EhldMz9H6IaMqg6jKILLiKDKi/BBdEUhXBDxt6Le4jCzzJ8v8qfIDLp8DTULUSDzQ6oFayV6tZC8h8SAkezDxLnXW9inRpgnRxonMzaqsLaqMjVrROix1lTZ5mTbhC03859rkFZqUNaqMrQ9SNl0IW9Z1/Isvs/bjHVlgmgQ7Cxxp1GsdYLUCzzpt1tkT8p0COB3gtINgF55qQH/u+IHiV4sXL34ifjV7eDtyDlxXLQpkAUBwcPCLL75YW1vrdDpR4aBrRu/9+/dRTn7Tpk3IKZktjuNIkty4ceNbb70lEolct9EniPVT6u/Fh7+mn+vvdevnldPp5Hme4ziXzzExMVFXV7dmzZq33nrr1Vdf3b9//+DgIHrJ4XC4hpnCrBjyj+gHrzcBzBYbY7ObADgA1slb7RbgrWBhYOI2rZD0h2zuPvjJw+RNuhIPrGA7WeJJFnuRxd5UiQ8p8yVlvpTMnyzzx0r8sBI/TYmfttRfIwtwtX+72PC0EeVHkOFlh/EylMw4SJUfpMoPPG0IGITMDy9FTo8vIfMjS/3QuoFoBrtW6on4oc7dizwPPHfG7cjYOpG2YSxt/WTO1onsTarM9eq0NdrkFVjCF3jcX7DYz6jkNdrkdQ/j110MX9Z1/ItLaR7Gvhygr4ONBIdNsJmcDqsAvE2wWxxWBzh5cKBFHqeHHLvsOek//6Hrqaura+7cuYsXL0b1V3Pnzt23b58roe2afDBbrms3Nzd3zpw5mzZtomkaHcYwDMuyFouFIIjPPvvsX/7lX9asWUPTNFqEavZFf/fu3aVLl7788suJiYmunb+A+qsfmi/pnjvp1myhHnL0qWFZVqlUenp6vvzyy3/84x99fHw6OzsJgrDZbLOLEu12O8dxs5/+yBo8z744QeABTAKvt/No6jsP4HQAWHkwG8FMwfiVsYq4wVNrr576bCJppVa0Ds/bjRV44IWeRNE+stgbeSFUmd90g/esSSGY7CAalv5DhhIYmGy6V1xTckBTcoAsC6Bk/s801MmBFXlrC/drC/djRd5YkTfqJNdOmyeWtw/P88TzPAmJBybeo8neocrcpsrYPCXaNJm+cUK0cTxn0+OsDePpayZTlmsTviDiP0N9HkzyusmYVTdPLh0JW3Fb7Mv1i0HbB7ZvwaKz2qY57XTYebsVwAnAO8HuBLsTrTiI1nd8ruaX/ND9TiaTvfjii++9997ChQsXLVr02muvrVu37uHDh65wE9qifJ3D4UBoMZlMDMPo9fq1a9f+9//+37ds2ZKUlJSdnX3+/HkAcDqdAwMDr7zyysKFC4OCglzvYfZNU6/X79ix49VXX0X8EH60mOQ/7l/BtUAbgPDdMwf6IAkgOEFwraMgOEBwTF8rTgGcgiA4BMGBluUB4TsTBAe6sHgAuxNsTjALoAegADAANYAWgAIwAjicM2PXeHA4wS443Q7IcytBEPR6fU9Pj5eX1+9+97vXX3999+7dPT09qNARZkLB6PHs7CCaXPJXT/5MflicNlRDZBPA4gDUTg1OAN4GdhYsKtBcxptThyM2Xjz5xUT6Vky8B8/djUn34AUeRNE+vMQLl+3Hyr01ZT6aMh9tuZ+23A8lJ6iyQ1TZIW2pv0bmr5H5a8p8taXTW63M12WaUh9NqY+6xFtd4q0t9qZkAbrSZxtV7E8U+mvz9muk3hqplzZveukObe4+TOKF5e3H873wwv144X6iaL9KsncqZ9dE1o7xjG0T6ZunRFtUGVtVWVvGstY9ylg5lrZ0KvFzbfxfqLjP2ITlbNJaImHjvdOrhkJXXkz2JLvzQHcV+EdgHgewW2cWpbWZzCA4QXAaWFqYxQ/BVcn2/PAD3Z3RGAMAQCvU9vf3r127dsGCBe+9996nn376wQcfvPrqq59++mlwcDCO467LF8VnUUE68rvRfrvdfvPmzfj4+KVLl65du3ZwcBC1hvA8n5OT8/LLL7/zzjt9fX2oceQJp1ulUq1bt+7VV19NTU1Fe/7qR+I/QGjBNj2AGcABPAAHYAQwAZgEsE3DY7rFFMAKTjvYAabDn04AuwBWXjBa7TSAEYADpwEEE4DdAbwNnFYAiwAsAAbwEOAqQA+AHKCIt6XcuF1z/e69+wRQAGYAG9gBLADugWL/ufQjfqfrGJvNZrFY0PWMti4MoMNQzKqjo2P37t2vvfbayy+/vGbNmvr6+p/iD3Ci9wtOYToZ7BRAEAQQbGDRgZ0CmwboO5rzsnNJ/nUBn9+N3kikbteJ9+DiXRrpTqx073jJzlviNWOVeyfkXpoqX02Fr6p4v6bIR1cayMqD8Ep/TO6LyX0xuTdeOb3F5d5Y5X6X4RX7kJHlPsbyo6bSYK4kyFh81FB0hC08rC84xOQHUpIDlOQAJTlI5vqTuQFoS+X6kdmetNiTyfdmiv3oUj9tsfd4oeej/L13s3fcz9n+bfaOR1k7JjJ2TYl2qdN2qtI2TmUun0z/RJP6CZ32mSFlqSHhCzp6KRa56mbQFwPBq77KCeG/Ogc8BsCagLOA0w6CUwAB/ZvMBKkEwTFzX5h9KTwJD/gF8wNduCgx/tVXXx06dGj16tVvvfXWK6+88vLLL8+ZM+eNN9545ZVXfvvb37700ktz585dsmTJmjVrIiIixsbG0NX/Q8kJq9VK07RGo9Hr9WjG+9jY2OrVq9944w0vLy9XI6HL80DX78/DDyeAFeECwAF2AE5wohZSATkjqD7P4gCLyWnTgY0FqxNMAGaet1vtYLeC3QJ2C9iNYOLAYpnhEQkwBnDXBnf7xNfEAAAgAElEQVQtcMkAChUk3OV8v5zccPX2onPdb8vKNlUoii5+TdIAFgALgB2sANwzJrC59Q+tH+IHijWhBdZcB6N0IKpLRO1+yI1AjxMTE994443ly5fX19fr9XqHw4G6cf+e7x5m3ROFGYQIPLr0HUaw0MDrgCcAvzvWX39REt57ZPmjmE2MxJuQeD7O2PxN5oaJwh149f77ko0P8jY/LtgxVeyBlfgQJf5k0QG8wAcr8dbIvDQyL43MEyud3mKlnmT5fpdR5fuQ6WQ+ZKEvVeBP5vsReb5Eni8u9cEk3pjEe3qn1B+TeGtyvNU5+1TZnupMD0O+n0Hqq5P64NJ9KsnesdzdD3J33hfveCDZ9VCya0y8cyJrx1TGdnXaNix1G5ayfiz+z/rc5Uz28rGIhVORS0yZG7GEdaMHP7x4av1YaSR83QM2DATOBk4SABfA/kOlB/82/WL5gQpnkQegVquTk5OjoqKSk5Pz8vLKysqqqqoqKioqKyurqqqKi4tFIlF8fPyZM2eKi4sREgDgiTQ4Otvsf1l09RuNxpycnDfeeGPx4sWPHj1yffN6whP/WfiBGGFx8iaHiQfL9OrRDjPY7WAGQClFM4DdCU7r9KtOJzjB4QQTCAwAATAF8BhABTAJ8A3AFYCzFqjAIe2BLeKmyadVvbH620/ktxbUXH2jum9OadPbRbVLS+oSB25cwiyoi9VmdtqcggnANDPI063/LPohfrgOQMsc/FAzExo3gj4CDx48GBwcvHfv3k8RuZ1+9wBOBzgds/lhB4EHh4AcbacRrBTwNNgJYMetX569ku5/KWLzyKlVX8VtnszxxPO9MamHNmensdRXV+iBSXdpJbuxPE9Nnufj7J0P07ZRRX50ITIfpmB6yxT66Aq8nzaqcL8qf89E4a4Z2zFRuGO8YPt4wfZx6dbxvM0TedumCrepC3dqi3diJbuIYg9dkS+d56cRe41n7nqUse1hxrZvs7Y9yt46Kd4xmbNVnblJk75Om7IGS15NJq0mk1ZiCZ+p4z/VJC0l0teMJa24GvbJQOinveFrSaUIxgfAOgE8BVYWwGmbWQbYzY8fFMpeOJ1OkiSfGJLzhAMOM3PZZu9HzeSu+BWSw+FgGAbRxWQyKZXKd955Z/ny5QRBuPpF7HY7eizMLHrzs/DDAU4DWPRgMAHLAwvAADBg0YPBCEYBDAAsgBEEC5hsdh1v0PIGSgASgADQAkwCPAK4A3AdoHzKlv3QGn6N9e7H1rRNLqn/9o2Ke38ovvNa5dg/i6/9j8KrLzXd/X3tyO/EjWurerOuT44DoC4k1g6k3WIEBwc8B1YHuFPo/5n0I/xAU0bQYVarFX3WGIZB1YmumYbPPK3BYHCVNf7/7F1nmBTVti2GHAQUBExXYUQU8IJeLuYLiIKgkgZUMIdrVkTR6wUUEyBITiISBhiGiT2ZKHlAwgwMeXJOnbu6qiufs96P0100A/KeT4URe3318XWoLrqnqs46++y91/ojvz1ADBjn8weVVQnQQRUQEbIDmguaA0ol8rcVbfgy/b8jN00cevSbcRXzX7PPf9U970Xv/Bddc8ZZZ42umT2mdtE4+/JXHJGvuyPftC95zbXoNdei1+tsjgWv2Ra+FvyvbeFrNYtfKvv+mZIfIkp+iChdPrp0+ejS5aPYVr58RMWPIytXjKpZObp21RhH5BjnmqeckeMqFz1XPv+FkjnPFs1+uvi7MaVzn6pe8Ix10TPVc4fXzn6yZuaQ2umP1k572DZtgP2bAY5pA5WFo8unPlLw+aPFM0cd/OLxtIkDMue/bN35PYSj0Etg1BK+SvXY2TQRgZWrEH9cGMzY3HzKJj6UUqYIHUwV5p9MkiTz9eBl3OBeQhP79+9/6KGHnn/+ebPXSVVV0zg9+IOXiz98UESIMngFDo3YiGaH5IEos2UlqkEGXEA1UAycBE4DR4CfdETV6t+dsH64M29cUtaQ6AMPrz/SJ/LorT8c6fD9sTY/5LZaXd4y2to0ztky3dck3dN0s61VWlG7dfv/uXbvtMyqEx74AEmFm8ADOEFc0HnIXirSEH/8qXAR/giWVa9zMQuCYMbxAJgPG8/zDocj2Cv6j//2gHE+f0ADW+A3/BSi8Ia7BqIDugNaGWyHrTtWZS/9z7ZPxmx/e2jBZ8/SZR+qc17X57+mL3xFWPi8bcHYyoVPlS15uvr7F6rnv2id+7J17ivWua/UBG3W+a/XLng9+N/a+W9WL3y1csm4yqWjK5eOrvw+ovL7iOrvR1d/P6rm+1HSuufFNc96I592/xhh/364ddHQmgWPVcwbUjxnTNGcZ0rmji2f83TVvKesc8c45452z4uwzxjinDHYOf0Rx7SHndP+5Zz2oHPag45pD7tnja6e/lT2f4duen/Ali/G5CXN0Mt+AikEKgGHPxdKdOgEKuBVA/mhEH+cC5Z+MP8QwX+UYKU2RVFMYgj+qzFZheBXWPW6mSeUZTknJyciImLy5MlsB6/XS8+rqrq8/EFBDOg6FB0+mbgNiAY0nYUFgA0oBo4Cu4EUA2u8WODAs7sKn9yc2z8++5+Rmb1+3NPzx/3dV2bdtur4revyb1hX0i6qonWsvVWS2CJDb7oJYVvBRddwO1Vuu4tbdbDTqszxWa4sGT4KVYLsAw84QWzQqyF4IRvQQ/zx58JF+IPBTBN6PJ7du3enpqae6+CkmLG4ieBa3j/42/8Sf0AHfKriFXmAgOrQZPh4GF4QO0g1tArkZxZHz9sz6ZW97406MWG0MPsdY/F7WPkhVr/vW/Fa7eJniuePKpwzyvb9q46lb7DNtvQN29I3/duyt2zfvxO8WZe9Y132ln3Fa/YVrzpWvGz/8SX7jy84lr/gWv6ce/k49/JxnmXPuJY+5Vg00j5vWO3sITWzBlfMeqxsXkTZgqeq5j9dO2+MfW6E/bvhrhlPuqY97pn+mGfGIM+MQZ4Zj7pmPGyf/q/a6Q9VThuYM/HRzPFDd/5n5JFFE2y718CexZjDB6eXelRoFDoIgaTCq0BlPR4h/rgQaKAgRJZls3GJ5fTMP5CqqmafuSiKwWpXbAdBEM7vFSeEZGZmRkRELF++3DwOu0/McKeOCMrlzJ8rgEJBoAI8UATsFJAqYbkTn5XgtWPasL2u+9KLbovKavfjvpsyqtslV121oahlZG6b1YXt1pV2iK5qH1PbPsHZJsHd3OJplOwNS/FyFp6Lc3CxtVy6m9slcBurro49PmpndaIbVsDnA3SAwgdih1wB3gpBP7+iI4R6j4vwh6qqgiAw/qioqJg5c2bv3r379++/a9cuFtyzKRc7jmEY7NYzZXRNpdE/8tub61cGqEEp1UG1QNWIQqmoqLpB/XtSAl0RBCt0Nww3VBtsefr+9NylX2z/4Kn9E0Yf/3RM2bTnnAtfFVa8Ia99S4p60xf9jmv166zBMLC9xbaaVW8ELAKDt3esK9+1rXjXvvwd+/J3bMvfsi1707bsddv3r5Z+N6Zs1ujKWWOqZo+unfOUde4Yx7yn7AvGVC8YUb1ghHXeCPuc4Y5ZjzumP+b6cpBj6iP814/x3wxxzxhqnzGkesbgom8ezv3yX0enPrJ/ckTm1/8u2TAbxfugVoLYZdUuQhRBBFAJ0AEYBD4JigZNh3FhAvk//oGvWP4w68cVRTFjAiZaxR6fv3jFrmb2r1mwy3aQZdm81mtqag4fPjx27NjDhw+z48iyHPzfIZBUZK+w2dZlq9+VAAGQAB0KUGJg7emKN1L3Ddywu2fUz53WHG6z7kSb2KKrLVVtLFVNkqq5JDuX7OGSvQ1SpRapessUvXmC3ChODEv0cQk8l+jhkjxcKt8gwxuW7uUyXA12urnYky3WZY064IqXUQKIgKFBElUKXYbmoB4PJBUEFJJHPL8EMIT6jF/iD3NSVVZW9vXXX99xxx0dO3bs27fvV199xdZyg9epmCLcBQ/+B397M3/u5w9/0xIgKLoakHdSVELhL06lAKBDEyG7obkh16L4sHPLmt3fvLn38+czJ0Uc+mzkqWmji2Y/XTbv6dJ5T9eueKlm5UtVq+pu/qKsVa+es618vWjJq4WLXi9a9HrBgtcK571cMPelgjnPF8x5rnjusyVzx5bNHVc5b2zlvLHV88ZWzxtrnT+6dsETtfMfs84eZJ81yDF9kPPrR11fPub6coj9i6G1Xz9ZNX1E6Yzhp6cNO/zF4F2TH874z6DjKycbx7dALoNaC7EGkAwQVoPpBbwEKvuTUwJN1TxukBB//JEINv9g98zRo0ffeuutgwcPsjvkItMoGrR6VllZOWTIkNtuu+2zzz4DwCZif4SEonkFEEKgB9o9ZECGCtiApErvm1uOXDd9Xdf4nC7b7S1Ta7i46oYZQpPNCpfs4TZL3BaN26hzaTqXTDgL4SyESyJcksKlKNwWvcF2g0v3cLEVXEL1NVvtTeNzrovZ//Se8kQRFYAX8KmsOlJTIGvwEcggBvSAFnQoAqmvMC9j87JkV76iKOYiFZsMscdHjx6dMWPGgAEDOnTo0L1792+++aakpOQi8cplAD13C1Qk6uduZmPc2VZaSkE1UB+IB4YVejnK9lXvXJW58L2kiUNT3x+Q+Z8hZ6aNKZ0zNn/W8PzZTxTMebJw7rDCuU8Uzx9Wtmhk5dLR5YtHFc8fVjB7aP53QwrnDC2e90TxvCcK5o3MXfTcqUUvnl7y4pmlL+UueenM4hdzFz2Xu2jc6fljzswbfWbe6Lx5o/LmjSqYF1E4f3TZ/OHls/pXzriv8pv7q795yPr1AMc3g+1fDan5aljZl8PLZ4w7M33sjo+Hxr7dL3XyqPzYL7STSVCLoFdCt0F3w5Bg6CwAu9Dv1Sn033hDhvjjfwfTUWCqiOXl5R988MGSJUtsNltZWVlubm5eXl5lZaXL5aqsrDx27FhVVRW7wVhTFcvBKIqSn5//xBNP3HXXXTNnzsS5WfrfF8H8QQ0Cn+5f8VWJAfBALpDgwbM7CrqtP9xkZVazpMoWWyUumefiHFyql9sicltEbqPEpWlcss4lES6ZcCmESydchs5lyFy6l0tzN0xxNk+ytosvvHH1tmf3nIq3owJQCDQRqqrr0ET4JAgEPhgqFOrvAlFC/FGvQQjx+XxsVYrRial1KMuyuajrcDgWLFgwZMiQdu3a3X333d99993p06fN7GA94g+cQx7mM+MiLEJACHR/ea+hQNbgpbBTrQS+06jc49m39vSq/+77ctyuDx/f/cHAE189njfj8bJ5ETVLxtZ+/0zVgoiimY/nffNI5bzhVXOerJrzZO28J+0LRzgWDbcvHFazcGTxwqcKlowtXDy2aMm4oiXjChePLV78dNGip0oXP1W6ZHTpktFliyKK5w8rmPN47szBedMfrpo7wDqnv23uQPucwdZZQ6umP1H29fD8r0YfnjR88/uDE98buuWrV/MT5+qnt8B9AlopUGvAScBTKlGi++dtWuAXEr8plALIIAr031gPGeKP/xNMWZ7PPvusdevWzz///LBhw/r27du3b9+HHnron//854MPPjho0KCHHnpo8+bN5+snUkoLCwsHDBhw9dVXv/XWW6b/YHCNyu+FYP7QoHshyBANCBQ8DIGCeIFyIMaO0Rm5HRfvarc+t32Go0F8LbehsuFGD5dRzWVUNkitbZjsaJLIN04UuSSFS9W4DJ3bbHCbZC7Nw6XxLdK9bRId1686Ojr9UGyV2wkwjWzwGqApkHgIIgRAhqadbTQJxR/1FWzoP39OE5wgBFBUVDRz5swBAwa0b9/+X//615dffrlv3z7TWu2XyKPe8Mc5WoCmls9ZbacAt+gUCiAAHhgeqDwEGYFuKCUflfuNfRsq1n5zctYbmRMG733vwT1v3//z+IdOT3msauZT/KIX5WWvOOc+5ZwT4Z4dwc8ZJcwe6Zn1hOObwVVfDrTOGlrz3WO1522lX/cvn9a/euYjtu8G22c/Zp01qHrGwIrpA6rmPFo+d1DJrMFnvh6YNal/5sR+Oz8etP3T4T99Nm7/gg9L0paT/EwoVdBtMJyqVCNDEOCToGrQ/D+H0QVjEQMUUAPLWSLIb1wACfHH/wIWdrA7JDU1lXWtd+nS5fbbb7/pppvuuuuuvn373njjjZ07d7777rvDw8P37t1rhv+U0pKSkvT0dIvF8vLLL4eHh4eHh48YMWLFihVxcXHBlre/I4L5Q4bqguCCW4ETcEK3G4JDknUnkAuscGNMJn9LTH7ztQXN4qubp7ibpjsappY1Ti1qnlTWIrG6VbyjeQIfliRyaRKXLnFbZG67ym0RGlhsLdeX/S2mun9CQYxNK2U6KDLgUaHooIoCQYQgwQeqQjX8vYoyoF1AAiGE+gDT44899fl8PM8HezCXlJQsXbr0kUceueWWW7p16/bNN99s3749OLOoKAqrTKlf/HEOWAWHP+SgIHXXt6j/TUL8/OEGnKBOaDxknjpktRJ6LdRKSGWoPY7TO7BxqStyyqlpr2R++OSudwfv+2DI4Y8eP/LxkIrp4yqnPV09/Sn7rKc9s5/xznnaO2uMZ+Zw76zH+VmP8bMe88wc7Jk5mJ/1GD9zKP/d484Zg13fPuaeOcQz6wn3zMftM4ZYpw2umDb45//cnzllQObnA3dPHrx98pDd3zxzaNG7Oas/V3PSUX0Uai10J0S74q6lqs+AzkNzwhBgyKDE1JgI4g9QsApML0tV/rY/aIg//hewO4T9m5KSMmXKlIyMjIULF0ZFRS1atGjFihWrV69eunTpmjVr5s6dO2LEiMrKSvOzlNKjR4+uXr16zZo1UVFRFotlx44d0dHRixcv/u677/bs2WNO3H5H1OEPJ0QbHF7UAk5QN1RBU6kbyAN+AiaU4/bk8iarc5vHW69K9TZMqGmSXNYsuaRVYkWb+Oo2cY4W8XxDi8ClCVw6z210ctvcTTfbWq471fGH7Cc3OhcVo5JZlamARKACmg6iE6roUHWoIBp0gwkw/ua11hD+QNBAVbrP5wsuOQFQU1MTGRk5ZMiQa6+9tnv37pMnTzYnSaxV0Eyc1N/4ww9GHlrQFnRRBq1tUQKd+gUbBL/0G1WhAwqoCNkBsQaKDVI1vGWoPoGcHepPsdUxC04unLRj8kup7zy57YMR28c/vnP80P0fPZ796fDTU0fnfzmm9MuR1i+fsH0xyPr5oNrPHq35fHDt1Mdqv3i85qsnyj8bUjxpUP4nj5yY0P/oew9mvXv/4XceyHy/3+aPH9v6zTMHlrx9MmpKafo816EYlO4FnwujGsQBwoP4YPhtnZjAHQ+IgOLnBgJCYAQ2AtCzMYnym6dzIf7438FuFdMRxAwvdF0PrkcsLy9n8ifB+UZKqcPhMDtODMPgef4PdR4M5g8VuheaHW6vYgP1wpBgEAWoBtJ8+DSf3L+1pn18adP42jCLq0GCl4v3hCU7GifXNk90tIp3t4oTmseLYUkilyZwm1xcehWXUtg68WTntQeHJJxYlI8iNoVhP45JMcoaJM0/vfPX3RsEhu6/fuvJPDSEumBXbJ3upby8vOXLl0dERFx//fV33nnnxx9/vH37dhaRX9AK0PiFYtDLyB9nAwsgiD+UwMa60QlMIdGAXjUlINSfC9EpNAJy9iAaiAydh+KG5IHohGCH1wpXJcpO6sd2C5nJp9bNPvbj1EMLJmbOeHPXly/smDJ2y6ejtk0c+vPHgw59+PDPE/rv/2BA5gcDMj8cuG/i4MyPh+78YPDOCUN3Tnxyz6cRB7989vjM13MXfpD7w6eVGd/b9sWpZ7ahJhtCHowKUBvgVOVaWXUQKlEzkKIQZE0OhPoKoPtFIxVAOvt7QVBnVe83IMQf/zucTieCXKSYCcH5TSGiKBYWFlJKmVLWLzkMUkpZLbwsy+dnSn47gvmDsPtCAyQKFdAhKsiyyquLvE9tOxMee4SLPMolVnMbVS5V5RIJlwoulXCpOmchYYmkcTwaJhAuWeHSBG6TncsoapyQdWPM7lGbjy4v9BYQiICuQtf8MzUZkFTqv359/my5DMpD46FKUDWoof7B+glzkoSA619hYeErr7xy66233nnnnS+//PLmzZvN2vRgZydz/kQpZQJx9Y0/gkTHSYA8JP9GFdAAhRA2pga5GGhBE3UFBg/JpeqaOX8nLtWnBmxFKCMnJohiuKHVgi9EVZaU+5Mr21K5e03+xsVnkr47tv7znHWTstd+mhX538NrJh9a+/nh9V8e3jDteMr8kxlL83+KrDiQ6D71k1F+EK7TEEsh1UBzQneCuJnckEzcHt0pQ5GhSdB5WXDyHkHwEZ2y2CKoKID1Dos6eAMC9Rfya36a1C+gx/5rEeKPXwFJks7vpGX3Eg2qiGdgpSzszmEKWmYUQik1BU7M6/vseay7KEuCtsA0n5rRNtGh69B1aAY0NlXy3wA6YdG5QaBSiECxio2Vxie7ih5as++myKxWMQUNUhzcJpnbqHPJOmfRuGRwqeBSwCWBs7CNcMkSl+rkUkpaZ5y5Ln5Pn5hNX+UUFrKMuGCwYF+gcAEC607SAoq/CiiFBMrD8IT4o96DUsqiCnaVulyuiIiIUaNGJSYmshUq8+Jn3mjBYbSp9VAP+YOewx/nxh9+S5tACELBPG/O8oeCs6WDWqArVqNegwiAF3AC/nHdXyNCVaoZUAzDA8MJwwbqAK0FqQaphFYKoxRaMZRCSIWQi6CUQa8CsUKvhmEFtQOuwPGYY4ICQ4Hug+EzoOjQFOgydBeRXEQSqKaaOQwCRdL9v8JPELoORYWoQtAhGBAp+xkkkBfRQ/zxJ8EFbyoCahZHGGagfU4cbTY8aZTN5xX/0qbhr6PQePi8EJxwiPDI4DWDB1GhEbZU66GoBnKBDW68srei1/rs69ee7pRguyqObxgtcDG+sCS98SZwm3Qu1csluLgkwlnAJYNLR4MMcGkKl+RskFDaLjX/6lU/3Z+0e14NnwNUAbzmAzRq+PtMNDM7bn5/ApwtlCQGSIg86gnYdCdYGDRY1IfF0EwSsb7xwW8GufBWZzWHBt2J5sVMzmkiuWAFcOAwwYkWBTQQ8VAJVPRvwTFQ8Hra2cQME5snoGe/Jz3bD3lO28r5oECg0kw3t3N+LPmt5IEQf1wy/DJ/EAVEBbkAf5x1dtKpPw0dyO9p0A0oRBWpIMIlwCbBqYBXIfqI1+PlfaIKAhE4A8QI+Oho7cCU452jcq5ZX9Aq3tksWW+cjMZJaJSEBokqF+vi4mrC0qwtt0lcvBiWgrA0cBaFswhh6d6WGx3tUkrbrNzd1/LzJycqN+v+PkECEYaXEpXNPf/kw8qVhmCBKSbCxvpVrVaruYMgCGwfJtJTR3maeTBfcfwRwu+JEH9cIvwCfxgGdLbR4BWqoC14smMuxmo6oZoKXYUuQRP8myFphioCTqAaOANkqHj3VO3Du87cGrmnw5I9N648fUucvWOs2DzaF5agcRaNS5a5dF+Tjd6W6fYWlrJG8eWcReQywKUbXCLPJblbbXK3S6voGJ1zR9S+D046NgIFgBPQQUAlKF4YIf6opwjuFWdgSXJWm2u+aDo312n+YPK6If4I4SII8cclwi/chkYgztUDpYTn1KTXCZMVwANN8huSK1AVyBJ8EkQVHhUCEQmsQC7wEzC92DF81/G2q7c3X5/dbsOZG+Mrbk503pggXB3vaxLnDUuTuY0Sl+HiUmtaWCo6WUo7x+Reuz4/LE3i0lUuReBS+ebpjqstZZ02HAtfvXfCaa/FwGmgBnAZoJoKXYIuhfjjz4VgwemUlJQJEyasWbMG565fBSPEHyFcBCH+uES48E1IzSSdf9HTbIutq6xAYVBW3y2qLLemeeH1gJfg0eAGZOgENcAuBTOKxBE7Tt0Ws+uqyN0t4opbpfDXZChtUuUmsS5ug4NLdnNbRW6Xj9vl5jJKuKisdqsO3hN35qVttpeOoFGKk0t1c2meZptcLWMKrlq+r3fM4Zf3lm4DzgA1rM5K0iEIUGSoCnQ9xB/1EMHyhT6fL9gpVlGUgwcPfvDBBzfeeONNN900bdo0ZvcU4o8Qfi1C/HGJ8Iv8cVZSWg/kOUidjNzZpAgFgRdwAwJkDwTBdMPxAsd8+DFff31XRd+4ox3W7m8WdahJQnGbDDRLQQML4RJkzuLlUlzcJge3uYrLKOAsR5us33t7Uva/sz0rHEh343sXmsYUc2mORpudbVMr2qz4ucvy7W/+XLWRogCwAl72fQxAVuCToWkh/qi3YNIjwa8IgnDkyJFPP/20a9euN9xww8iRI3/88cf8/HwEXZ91DhLijxAughB/XCJc+CYk1C/YRkkQf5gZEd3fyGSucmkECg9DAJF0TZEBD1AJHKJYa8W7B+33RB/726rsDjEF7VNq22S4r9qoN4wGFwUuFlw65Xbo3G6R21LOWY62Sjx4R1r26D0FM0uU/UABUA6kqrguPr/xRlvr5JKO0Tl3x2S9sb8yUUQhYAcksOCIQNeha1A1KAqMEH/UUyiKYvox8zy/ZcuWb7/9tlevXuHh4QMHDly6dGlpaalZR45zL1HzICH+COEiCPHHJcIv3odBfR6BMjtWqqv4a/uIAl2DpkFlQ7YKnYDCBVQAOcBaHz7I9/aMPdhhzaFmkceaxJY2S3Y1TOK5BLGBhXCxaBAPLg3cZsptFRpmVDSPP9ZhzY5HUg/PLBaygVKgEqgEqoAjQJ+MwuszqjqsPtxl2Y6XdxSlqSgC7IDAQiFDh6ZAkUA0UJ2oCjVIiD/qIUwFBELIsWPHZs2aNWDAgGuuuebee++dM2dOSUkJs3Zmp8wMU6i/7ZSYZzPEHyFcBCH+uMw4t9iK+HWjIQJegAcVYAgwBGgiNBGaBgUGhQfIA5IUTMz39N18vNmaXWGWk1x6KbfRzm0UuDSJsyhcosElgUsBl0YbbNSbpbqbrT1944qDI1Lzvs12FQB2HZIKRYOPwqvw0AcAACAASURBVAPUAMeBd3N9bb5NC5+XMf5AbaIbRYAT8KqM3VToMgwfqEqhaTA0hAaSy4zgCisaaGJlfCDLcm5u7oIFC+655562bdsOHDhw3rx51dXVwdIjZvd4CL8vfol3rzA+DvHH5USgTdRsBWL6ChIggngADyCAeqG4IXugCQBcFNXAMWBJKXk8/VjHFduaxWS12F7NbbdzW5xcuotL5blUiUvVw5J0ziI32CJzlipuXW6n6NxHMyqmHJG21qBGgyEFWlwlA4aqQPZAKgJm5nnuWZD+XMyBZCcKADtTZCdMqMQH3Qfio1AVaCKoBBoae+oDgk3I2WB05syZ6dOn33XXXTfccMPAgQO//fbbrKwsWZaDrQBZk8cf5EPzF0eIP0L4w0EDXR26KZZ5rj6PrPE+TZTgl0WzAYeBecUYlXTszuW7b16b1TG5sGFSCbehiEuo5DZ5uZ0Gt03jktzchtqG8Y7WaU5uXfbV8Ufv2VT45iF+fRXyDcgEUAGJqTJo0GQYAqgX8ApAeoXviy2nY3O95YCLaTdIOogOTWYiCqA+DaoEjQf1C5aEcLkhiqI5BpWXl69ater+++//+9//ft9993344Yd79+69IEkwTZ1L+03/KgjxRwh/OIL5wy97QHVQvzmBSAyHTp1ADVAO/CxhTbn4zJb8+yx5N686fPWPWa3X57dKsTZK93BpfIOtGpfq5RKsDZLs12xyd8qwtVmf22zJrtvjMl84Ur5SwAGgBpApoIF6mBkAAVVAJBgiNC8UL3SjxItsF2yAC3DJLC9DIPv8K1dEppA1aBIMxh+h4efywiQAVVWPHTs2e/bs4cOHd+jQoW/fvpMmTTp8+HDwAlew0fIvFeyG8LsgxB8h/OGggAZDg0GggWogGtM8JxQuhbmdIQ/YDyy34c09RQ/EHGy9dNc1Mfk3bnJ23MQ3ibdz62u4eE/TdLVxsq9NqtAh2dF+ff41P+y/6cfdfROzx2w7vrxaOACUA3ZAhF9hUfHLaBGV1XUZGhQFXhmiwVRPFMAjE7dHBACqQ5dBVBCZZT50GAook5X7s174VwqYXQd7vGzZsrZt2958880TJ048dOiQx+NhryuKEtwOQpm38blFVpfyO/8VEOKPEP5wUBACmTDFcyrDUGFQGNAoeKASyAYiHXjjoOe+xNO3RGZfvfbYten2ZikOLsEWlsQ32USabkIDi8ZFObkVpddEV4bHlXVddbjH0s1Pxu/7tojPBKwBPwDB0H26rgQURcWAwrq/n0MFRAofhQFRFA1DC/TG65KPB6M3qjF1UkopAWXabCFcXlBKmfE4gKysrKlTp1osluAdTOtlAEw0N/gVhlAK5HdHiD9CuATQCXgKNygPwwtNgUaIDh9BuYHtdkw7Ig9LLuu86mTLlbmNY6ubpvGNkr1N0uRGGTqXpnGJMpcoN0gxrsow2ifx16w8fcvS/U8mnVxYrPwMFAO1AKBAsauyTSa8AsUHXYDuY77HQQqjzHCNUACa6rVRjQf1AQqFxgsuAzozgKKsZ8UIyvv/Wa/8Kwo8zzMDc6apzsQTDcNgVmbBSY7zda5C+CMQ4o8QgLNltQj4XDL1YxK0naPifHZSfp4MYpCVDfG3DRINhAd1g3oJVVTAC9QA+cDco77nM6p6/nD82u9PXRtj77CJNE1VuGg3Z1G4ZI1L1rkUvWGS2ixBaB3r6BBV3nHxoUeSCr48pWb4cAawASJAoUPjIVlhuCgEBZIboghNZaq+hl82hRJofvcCEENm4tKSYNMNkULzaaJKNZ2ZJNCANrCp2vVnvfKvEDALZHMACraBCsYFPc2YQuIl+Zp/OYT4IwSW3yYq9IATJAFlE3EdhgZDA1FAJFAx4JQsqdBVxjQkaJAlMAAFVAbV2RuGBlmCl4emQJZkWRaBCmAfMDXf9/Dm0mvX5raIsTZJkJolkZYW0iZeaR/jvSrexyWDSwaXbDRNktqur+n0w4k7l2UNXnVw+mFHejWKA0VTFARQQH0gMogayFtoOoyAV8453jqmViMhOiUq2wjRCdENqhuUnGMzQM/5bAj/b7Cxg7kg15FPZ/4cuq6bgwul1Gq15uTksKehob+egPmTIsDiPM+zU2MWVTPrUsb0rJxBEASzloGFiSxZFdyOE1zsUG8R4o+LgYLo0FXoul9NRAfVQXQYOnTdzx9UAZX8TRuQAjRzjocHq7OSQUSiqFQB1WFoUBWIoiFIOuABTgJLi6Wx20t6JuRdHV/GxVi5VLXBFjTIQINEteF6T8t1jhYxfKONaJCB5slS26jyG5bl3L86+6MdVTEl5KQMB+BPpBLtbGEVvbAE9y/9ZPILuFR/8r8Kzk9CmK+zB8yugz1mQ4/FYhk9enRERIRJIX+KIeaKhzniV1RUmOfUVMhnHtV1rH8JIaY6WXl5uXkor9fLujvP196vnwjxx8VBKBNL9y/06MFWl8ETcDZ5B2USVQQ6gb9iifhAfCASNL/DByFUUXRZAjUYc5yhiK9SP95X2y8278blp676sajZmqq28a6WcfamsTUNY6u4eCuXwnOb9aZbjaZxVVetzu24+kSfuPwXdtvmFWE3QWmgvEoHdJ1QI7CwRrVfGy9fYfF1PQellNk0mTDfMocPq9W6d+/ep59+unv37u3btx82bJjJHyFcdrDTZDpb2+12BNjC7Xaz88uK38xKOZfLBUAQBNPfurS01OVymUYsbKXxT1FgHeKPi4Oco69O9UAWpK6tk2rWMqmAQmAQCl2BLkKXWQSjq9AJS4CoAB/IcyR61M9zqgbFHA5f8nPHHws6bnC1i5dbxQhXx/NXbahqtr6weVxxy422pj/x3BYPl1jSdtme3qv2jt6cP6PY2AKcDtTmugkEDYpKjcDSN2U2UyH+qN+oo5IrSZI5nxVFcefOnW+99VZ4eHiXLl3GjRu3du3a4uJiAIZhsKAkhMsLdrIkSaKUiqL4/ffff/DBBx999NGhQ4fYWyxGTE5Onjhx4vjx46dMmeLxeMzo5MSJE3PmzHn++eenTp26c+dO9qIpMBNcdV0/EeKPi4OluBUQVsCqM3+nYCtAOWhTAUoBqhFoOlQdKoUKQ2W6VRCI5oUMVAOngA2K+mmpvVdcVueY3OvX5bVbW9x2fU3rGFerOKF5vNhwg6uJxX1VmrvNRnvz9NIwy2kuJqvFqq0j0w/OPla2w0AeUA7UAk4KHw3IvAdy9RogEcgGCP0F6d8QLiuCl56YD3nwkoVhGD///PO7777brVu322+//YknnoiLiyspKQk+wp9ifeOvAMYThJBPPvlkwYIF48aN69Sp0+jRo30+Hws15s6d++6770ZGRt5zzz3h4eETJ04E4HA4jh079vbbb0+aNGnSpEl33HHHSy+9lJeXh0C+5E+BEH9cFJQEUh06iA5KEGiWCGYOJYhLBFABmgxVhwqqQtMgG5AABdDhBUqBZB/+k1v76M6sLkmHGkUVh8XxzZKElsneZvGuxjH2sDh7g0Q3F+dqlMo3T3U2ij4TtmLPtVF77t996q1T5VsUFAJWwAUIgI+AEAJiwCBmukXXIWiQKBSE+KO+Q1VVkwkYqWzduvWtt97q27dveHh4//79f/jhB1EUWYyiaZo5KiHU91cPYCY8Zs+ePW/ePK/Xu3///t69e/fq1SsrK0sQhA0bNjzxxBNsyXH27Nk9evTo0aOHKIoHDx4cOHDgpk2bWFLknnvu+fvf/x4XFwdA0zSmjnw5f9j/DSH+uChoUGkuOetGbq5ZmdJVlAIEKmCFXgtFgEKoAkWHj0AEZIgqKoE9FLMr6JM7Cm+O2tcycndYdF6z7eA2gUsCFy9wiY6GqXYuzc6l2bgMF5dU3Tg6v11Uzj1Jx945UrVewCnADvgAwZB5yUOJAqrB0KCpUBX4ZEgqdBgGJM1PaSH+qJ9gMUdwvY3P58vNzZ0/f/7999/fuHHje++9d82aNVarVdf1OusY5vy0jj1UCJcLe/bsGTZsWHV1NYBdu3b16tXrtttuy8rKqq2t/de//sVS6A6H49tvv+3cufOwYcNOnjw5YcKEmJgYdvYLCwsHDx7cs2fP+Ph4AExX/08RX4b446Kg59TggrJeEHIBiyfil4JyQXdA9UEnhDCG0XQ4gJPA9zUY/lNBl3WHrlmXc01iRbsUV4tUldsAzgIuHVw6uBSeS6rlUiobppe2zihrsyEnfP3BMbuLVzlwHKgGXIBHlfzJGEOCKkL3QVcgi9A0aJrZ02cAPgMqCfFHPUXwKZAkKSsra9KkSXfddVfLli0HDhz4ww8/mGU5NGDRwaalCPBHqH63nsDr9X7++edpaWmM5qdPn96nT5/+/fufOnXqxRdfPHjwIMtU8Tz/+uuvd+/efezYsZ988snChQvZmfX5fGlpaeHh4d27d2cpEDO+rP8LWSH+uCjOLcMFEMiomwW7IogIIsKQIHvh40ENCugGZAovUA0cAFZLGLav4G+Jh8PWHGySWNYq3ddkg6/ZauWqGDRNBpeocRad2wRuK7gUNxdX1CL6SOe1O5/be3qdUzsJWAEPhaBCUxkfGKAGiAZDg65BV5mPLHTi57lAqBRiicsCFliwlQ1zfYPV1bCiGrMwl1JaXFz83//+t2vXrj169HjwwQcXLVp05MgR8132oP7nUf+yoJTu2rVr/PjxHo+HMfr48eO7d+/+2muvffjhh3PmzAGgKAohpLy8/NFHH73tttsiIiImTpxoqpN5PJ6pU6fefvvtffr0KSgoAMD6gRDUDmLGIuaVQAgxk/Ds3cuy3hXij4uCglJQwrLi7CXd7+9keEA9oDx0N2Q7FDcMAYbCWgN5DbVAHmAheCm77Ia1m1snHg5LzeM21nKbZC6ZcjFoFo02CWhhkRpb3A2SBS7Jy8XYGkUVd7YUPrKlcImNbpdQDcgAKCBRyIAOSvymt35iMwKOtyz/YVIdCfX3XVIEN/qZYORBKa2znG0YBs/zlZWVM2fO7NevH2OO2bNnFxcX22w2cx+v1/unWMT4i6OoqGjLli0IxIhPPfVU9+7d77nnngkTJmRlZbERX1GU5OTkHj169O7d+6GHHjp06BBrETUMw+12Dx48uEePHi+88IIoimZRL1u3NC+qqqqq0tJSWZZNUmEUwh6frzhwaRDij4uhrr46BagOqoCIkJ0gPCgPCDB4Q/VQKgIQBfiASmCrgrcOltwZu/vqDXuaJR3jok9wGY7GmzXOonExhIsDlwAuljSIrWmVUnZtalXH2PwbVh55KO7UFyfVnToqAZH9jwaBJMMnQSMw/A6FGvxWt4T6Uy9+wiAAIWe3QKd5CJcMrG+cdXWwDmRKaZ1WQTYolJWVDR8+/Oabb54xY0ZOTo7JHAzB4iKh9cZ6CyYMw06Q1+vNzc3t169f7969w8PDly1bhqCI4eOPP+7Ro0efPn1efvll9gp7a8eOHV26dOnevfvMmTMR1FDCVr0kSVqxYsXs2bPnz58/ffr0CRMmfPrpp0eOHGFXizkpYSW/l77PN8QfF4MRKKwK8AcB0WAoMCQQEVQCkQg0BUQEeMAB1AD7eHx71P1E0tHwqMy2Mdkt0oqbb3U02ehtnCpxcT4uWmyQYDTJAJcOLtbV2lJ61er9nZbvGJCU89UZ8ScNpYAHkDVAZQVeBiQJig+6BKIRerbcSzNTM+bwYmpzEQKqg4T44xLBHOvrCBQyyVvzqaIo7ClLfe/duzcjI8Nc6ZJlWVEUU0+XgfUqX5pfEcKvRfCZkiQpPj7+nnvu+cc//jF48OD8/HwE5EkkSXr00UcfeOCBfv367dq1C4FgBcAbb7zRrVu3vn377t69mx2HsZEsy9nZ2U8++eS0adOOHTvm9XqdTuf27dtfeOGFa6+9dvLkyWaGzLzkLn09RYg/LgYjUKGrgVJqgKjQVWgydBVEJ7rhlFU7hRUoBc4Au4DFVRi3vfKWpTtaLtzZPqHouh1iq40it6726jTaMkZusY5vEytcZfE2SXZyabUt08pb/5D5QHzOR9k18U5SYMYc+llyoExzkajQnFCdBEagG/4cFjHOsXIyKSTEH5cIwbcuu5+DxSrYKyw0Yft4vd7gjwcbCLIRxzAMlikJicfUZ7ATaiYzpkyZctddd3Xv3n369OkIzB4Mw9i5c+dtt9129913v//++2x/9sHq6mq2/7PPPmsW2jkcDgClpaX9+/cfP348K98yL4/S0tKhQ4d26tRp8uTJtbW17Pi4TCL8If64GAwQGYYMTWexgCFDk6Gq0AwYUAx4gEogF9gBzCsSXt5bHL5633XRJzpZStsnW5sk2LhoBxfra5KCRrF6izjl2iS5UzJ/VVRe2I8/N48+2CP95Iu7StdUIg+oAXhCeI8dPjcMCYbOhLM0f4kwYb62BCrxyyAyBUfKFLj0OnrqIYnDywRZls05qZm9oJQGl0uxeEIQBCZ3wRa7cF6ePORP/meB1WoFoChKRERE9+7de/XqtW/fPvYWuwY++eSTzp079+zZk2VKzMKqlStX3nXXXbfeeuuiRYsQJHxCCFmzZs1111134MABAHa7nUmkMJmThISE66+/vnfv3jExMebFZso4XkqE+ONioNBlSDK8BrygXmgiVAmKChWaAhGoBg5TRFrx/gFb/5js65ftah17hosrbhhvbZYiNU2hXCLlEsClgYtXG2borTcLbS3F10Udvjsp+5n9Jd8cr2UZcqcEpwwFUAEDuijZKdwgLkI9OhVk6D7AC/j8TSYC4KPwEcg6VA2aBkMNtKkYdVgkhEsCFnAENwMCsNlsa9asOXbsWJ1aW3bPsyADAKWULXbrui4IQp1caB3uCaG+wTAMdkIPHDjQp0+fnj17vvDCC4IgMOJn53TQoEE9e/aMiIhgTi3sg4IgvPbaa3369HnggQfYRaIoysmTJ6urq51O5/vvv/+Pf/yDLXaZYMfcunXrQw891Llz588++4zNRWRZvix6NlcAf5CgzQ/6C9svftwvjKiD+I8TaDInMkQNPAUP4oUhQdOpAYnCDuQBKV78J9vz0IZjNy7JvH5Fzo2WmmbJbi7Bw8WLXLLRIBlcgsEl6dxGg0tyNdtobZuY22n1zkHJhxaWykcAG+ATziboBQ0+QAXRoejUCTgANyCo0EXABfAAgQYqBChEJlADquxnySPk6nTpUSdKKCsr+/HHH8eOHduuXbsvvviCxRnmQGPuz8jGfJ2tWbEdzG6PEOo52FKkLMtLly4NDw/v06fPkiVLEFBNVhRl69atffr06dOnD1vUMktyCwoKRo4cefvtt//73/82M/Djxo3LzMwE8Prrr99www1xcXHs4mHpMQCU0tOnT99///3h4eHvvPMOi1lZ8HHp6yz+7PwRrG/ot9SjQcPoBUbVc9ojCKCDKjAkqF4oIjQZRKMgPsAJuABRF0B9/iUiQkWCWqAASAfGn3L0Tsy+LvpYJ0tFu0Rn2zhvGwtaWMDFgIsFl0y5dI1Lc3EZ1c22lDeNO3x99O4BKT9/ebzmoAQvAA1wBXIXBMzZL9COGLB28ldaEfO3BHxFzJ54v43s/4EpQ/gV+KXZnHmLnl9VxSAIQmJi4siRIzt37nzzzTe/9957mzdvZiGFmecM1VNdMWAc7/F4FEUZN25c586dH3jggYqKCgCUUtYJOGXKlBtvvPHvf//7wYMHEajQA7Bz505WqRUVFcW4YebMmePHj2dHXrt2bfv27fv165ednQ3g8OHDpj783r17+/Tpc/vtt7/55pvsPzITMJcYVwB/KDDlpc7lD/3czQAxcO4QSwESMINSZCaVSzSfqHp5Q+ShyaxVkMiST5AoXEAJYOHxeb7wYGrODRsON1qd3TC2qGmKq6FFaBgvNU4gjWIRFofGyWi5Cc3SvWFxBWFrDrRe/dM96Yc+OF2VQVDChNa9gBvwAXqoP7xeQ9d1VirDqvUByLJsKqSKoshuXV3XbTabxWKJiIjo1KlTjx49Pvzww8TExNLSUkZFsiybSfLQ+b1iYNZNlJeXDx069Pbbb586dWpwBZ3b7X711Ve7du364osv2u12WZbN9cnExMQuXbrcd999RUVFAAoLC/v373/69GkEWtAnT558ww039O7d+/HHH584cWJBQYFhGA6HY8uWLXfdddcdd9yxcOFCdijmFnPp1zmvAP4Ijj9InfgjaCMUugFNhaKzndlHVUADCBSAB1xUl2AYrENQdsJRBsUJQ1KAcmCLga8rjCG7q7vE5beMzG+1oaZtknB1uto6zdc8xdsk2dUo2cUlCY3T5ZZp3pYbylt8n339sgOPpuR+eNi53on9xK+1LgKCBlWj+AVxkdD4Uh9w8fKnOrZa6enp//73v2+++eZu3bq9/fbbaWlpVVVVwfsH28derm6vEP4IsPnB8uXLO3TocNNNN7Fw0+SP6Ojo8PDwTp06zZ071/yIpmler3fNmjU9evSIiIhQVTUrK2vkyJHp6emSJJk1Xaqqrl+/furUqQsWLGBKaIyuXnvttU6dOj388MNHjhwxA2Vmen+Jf/uVxh/s1fOWcfxesgYkFYIKEVBAiFn6yozHHYADEAADOogI2Q2PDYrkBU4RrK6Rnt1X1DU+p0XU6UYxVU0ShVaptE0ymsXKjaLdjRKcDZMdXFIll1TaMD6/5brj16/Oujfq+Du7rLE1KARsAA/YZdglw0sgAl4QLxQdv84fMIRLg/Nrn0y1IvaWafmQkpLy6quvMouO4cOHx8bGmvpFACRJkmXZPE7ozF55EEVREIQvv/yyV69ew4cPZ8EEAEqpJElz5sy5++67H3nkEZbVCFbpz8nJGTNmTK9evSZMmPDRRx999913CMwtDMMwi/HMYi2Px0MpPXHiRJcuXXr27Ll48WIAPp/vMjrBXAH8YQoc6sEp9PN2UAIrXQKFSKGYSQUmxu4LKLGLOjyiLIoiKFGAEiDGird3F/0zen/HNftbxZ5ullrdNMPLxXkaxUmNo6WGUWLjeLl5Bmm6WW+UZguLPtg2akfPhIMv7q9abcNJwAmoGjQPIJmxjuGCZIfkgaKE+KNeIvgsUEpZM3nw+oAsyzt27Hj77bfvuOOONm3ajBgxIjIykjEH6wE0gwwzUmEFNqGTeyWB5T8URcnMzExNTT1w4ACjB7Om7ujRo8nJyVu3bmX7a5oWPC/ZsmXLlClT/vOf/yQkJABgXeVmGYUoiqZRGAtneZ5/8MEHu3fvvnjxYlP/yuv1mqxzSX/8FcAf1HQmN0uwzuaRCahJHlJgUwCNQtOhKyCMM1TWaq5BUqAAXsAJnJaQUoPx2UK/zVXX/ZjVZOmB5tF5rTNszTJ4LtHBJfKNEoQWFqlNinZ1mt46RWqa4Gm+Prdr/P6IzOMzauSNQB7gBAwD8AK1Grzsf9INKDy8Log8FC3EH/UbZtrDhMvl2rp164QJE3r37t21a9fnnntuxYoVF2/9DV5bYEKKf+A3DuESgg3uzJeFvWKGm+eHBeYrPp/PbCA1CzFYAoMQYpqlI6hCj33qvffe692799y5c9nHmWI82y3UP/j/AQUxQGhwFS81Nx000GDnJw+NFV8ZgA5NhaRDoBAAEVQjChUkOIEiYKOE/2aJD1iKuBWnuPWVDeLszZL5VilCiyQ+LM7ORVc2SLRzCbWNLTUtLTUto4qvWpF787qKfikVX512pfroaaAUKCOolaDrZgikw+s1vB6ieClkA4oOjYT4o17CjB6Cx3qr1bp9+/YpU6bceeedbdu2ZeZOpaWl5mzR6XSyx6ZgIptvBic8gpVTQ/izwzzdZkmF2eERLJ3LbmpBEIKnEWYxXrB3OnuxTvLMZrO5XK7x48c/+OCDGzduZC/Ksmy1WoOj5D/6x56PPzd/UH9VFathDeYPPUAeGqgSFH/oQYkRDWCyVW5A8GmiCNQAuyV8nq0MjCnusjKv5bpKbqPCbaXcJsql0UZJpEmi3sQiN0kSG6e6GluqWieXXJ+UHx515IGYE58eI1spSgE74AgYPSmAwa4h9q2I5t8M1W+IS0P8UR9xPn+UlpampqbeeeedHTt2vPfee5cvX252deBcPRIzXglmDpYyCXUCXmEw8xksXREcYbAHLDJguv04t3QiuATD3N+UvRFFke3AZhsLFiwYPny41Wo1CYldcsErpZe+LuNPzx+6fxg2CAwKDTQwQOuqf4w+20ihURC2VAUKKApkAZoEqghUqQEygWn57ic25d269mS7lcVt17pbJGrcT4Tb5OMSBS5B4VLRZCMaZyAslXIJrrD1hdesO3pv2vGPjlYmuUgRwAMaBTXO5uYVv+yJoULXTb8pg5wtKw4xxSUB894wn57P0OYCFMthnO/xZ7fb9+7dO3jw4Dlz5uTl5YVkRUL4HREs1c6e8jzPXiGEfPrppxMmTGCV4sFhClvsYpOSkP/Hr0Yd/jhLHkQD8beUU6JquiQbiko1DdSnq37+0ABRIxpEoBxYnFf7cmZez9iDrVYebBZV1CpJbJ2MxsmUS/VxW5WGP6HBJnCJOhcjc3Fyq0Shxar8O1PKXj7q+cGFQ0ANIMFHVA806q8JNkBAmVqvDE1hmotMKpdZd2gh/rgMYNVTTGiE3YRMzM7kgzr3YXDdrcPhKC8vN/dkulVsheoS/oIQrkxomhYcTDAwc8OFCxc6HA7zMmPBSp1Y9rKkQP70/KH9En9QnanPUkAFfIRJgwDQDcUniJJI/amOdRV4a09ln/XZ10VmN1qV0yC6uFkG33Kr3jBF4tY7GyUIjS1Co2Rv4xS+SbKzRWJ1+w1FXSJz3syWF5Rij4pKgAcUKDocmm4H0QI+ThSEUmr4t6BG8bP98CHyuLRgrb/BE73goZ8tCLB16uAdmH8ce2qyC6vIYocKrUqF8BvBavzYY1PD32azRUdHT5s2jaVDzGuV7clCZPPKvKCD2R+NK4c/KD2HP4iqgFAa8AsUADfgBQRFVwEXUARE1+KdzOr7Y0/fuOp468iCIsDkKAAAIABJREFUVnHWNuliq81a040+LtXNJTu5REfY6uoOcd4b0rzXxJY2X3Hgb1EHn9pXMbtczwaqAB/7Dpoiqy4ZHh0SgUFpQFWEGCAGDAOGEbAMhPmVWOlXiEEuDeqsXwWD2TOY5faMRYLLrpg+lVmpyd4KPtql910I4cqDSQ9mecWxY8eGDBmycOHCnTt3RkZGrlq1KjExceXKlbGxsUlJSZGRkRUVFT6f7zKKNP/p+UO/MH8YbGAOJg87YAWcQBmw2YfPzvD9NuVdG3Wkybr8JvH2phZf8yS1pUVtHMtz0TVcbBWXYbv6J+/NSb6bIys7LjvWddXBJ7ae+qbIud1AJeCDAUOFpkBTYBAD4Jnvk7/Hg1LK+CPgUk78bk6MP+RAx0lo4nppYN6cTCWXEYCpTcLeqqqqmjZt2kcffcTU6OrkS+osLAQnP0P1DiH8dpimL+xpZmbmY4891q1bt969e3fr1q1Xr149evTo2rVrnz59unXr1rVr1zvvvHPnzp2Xd+5yZfCHQS7EHzog6kw7F07ABpQCOw18dcr3cFz2zSv3tY/PbbPRFpbu4SweLkXn4mUuRmgU722e4m2e5gpLrmoSnd8lMr/3DzmPbjj5SZYzTUMBYAe8hgDdA8UBxQ1NgkEoIAMewnS4KGF+UzS42koH9SusBMR9Q/HHpYM51iuKEnzL0YCV7Pz584cPH96xY8f7778/KysLAaapM7NjiZPLJTcUwpUK09UcAKXU7XYvW7bslltuuffee+++++6//e1v99577z//+c+uXbv269evZ8+eDzzwQK9evXJycthHQv2D/x9QgNkonVt8ZYAaAFQDXgMewAWU6jho09eVafclnbkppaxjYmmbuNJGUcXcuhIu0dHsJ51L4blUL5cuNNkstdkit00XWsdaO6w82Wf5rkk/V+ygKAAqgXIRvELN2IYSxdBl6NrZRvZA5gPUoNAoVAKVQKbQAtsF++RD+GMR3AFuvujxeGprayMjIx977LEWLVrccccdn3322bZt23ieZ+EFS35cvCzSVCUKIYTfCNa1zvM8z/OVlZU5OTl79uyprKwsKCg4evRofn5+Xl7e6dOni4uLt23bNmnSJNZoouv6BTPqlwD1kD+CmwEvCsp21ihUNjQHein8g7kI2IByIBtYW07eST9597IdraNzuZgyLq66cQrfNM3HJXq5BA+XInDpIreZb5huaxBT2HjlkQ6RR/+RUvbMjsoMA0eBSsDFwgXql39ntVU6iMFsAnUKlakxUhiUcRiFRqDpUHWoBjTDTx6BVvmQ2Polh1mtTyktLS396aefnnvuuZYtW3bt2nXy5Mnbt283M+fnxyiUUrMvjK16mUX9IYTwG8GC3eDaP1OBkWXmVFVlFxu7Mn0+3+LFi82eEjbFufQlvPWNPwiBqkNmLq0EBqH+XnJDhaHWsblgfYISdJ4oIjE0f2qBwqnBAVQCWcAPVozZXRUefbJNVGFrS23rlNrmyTVhFgeXLHDplEsHZwEXK4Vtos1SPa1i8tqv2tNr3daX9hxd7ZVOArWAYArEsy9DAwNK8Ph/YQsO05/j3A7H4I+EcFFcsLny/zJqm5VRbGpGg1z8rFbr6tWrR40a1bVr19tuu+3DDz88cOCAIAgsKUJDfn8h1Hv8v++L3xf1jj8oVBpY7Tk76hr+Wb+hQVN0TVE1TdENmRiyP0FNdUoNn667CVxAJXASiHbhrQPV/0w42SHqdOOYCi5J4NJ8jVJdTdKcDdJ4LkXgLDKXYoRtRpvt4CLLmi8/dtuaw8/tLlrhkA8BRUAlJPkXztTl/kP9VfBr7xNCCFOdA3C++np5efnatWtHjBhxyy233H333c8+++z27duZ20+dg/wRvyWEEH4vhPjjQmCVrwYTRQxOGVAYACW6pmi6pEHR/U4eumFAlaBIqgEiQ7cDOYBFwXsnbP22lbWNPMktO9k0qubqZPGaBG/DGBuXwnOpHi6F59KEhhm+Fql867ia9mvyeqzPHbm5bFqusk1FCWADvAHBk/pwnv6y+H/cJ+bSU01NjSkF4fP5UlNTn3/++W7dut12221jx46Ni4uzWq3mp3RdZ9YLNBR/hFDvEeKPC4EGGrNNwRHVgKZBU6FIMPxVSzoUBYoMxQeIBtwq3IY/7NihaZ+fKhy08dDVP+5svO5EWIKtSZrSJgPXpBrt4oTmG1xcisxtVLg0L2extYgtvW5D3p0xJ/ttyJqRr6WLKGQ1vgQ2Xpcl5u8U8ge8nPi198n5bzmdzm3bto0ePbp379633nrr2LFjU1JSTHkSVkalqqokSaE28hD+LAjxx4VBCajpPatRaBpUGaoPEg9DBJUAn6SLIpV4yC6q84AdKAe2SfjmjPXJTUfDozKbr9rfOC6/cbq9+Ta9ySYSliBz0WLzGPWqJHCJKpemNE1ytVqXf+OKgwMtx6eecKZ5/BZPPkAj0GRq+Ihp11EfztNfFr90n1z8/mHJDAAWi2X48OF9+/bt3LnzqFGjVq9eXVlZyfbRNM3tdp+/VEUDeqghhFBvEeKPC4Di7HoVCKAb0FVoPmgCFB6GBKqomk9QZRnwBphjH7CwhB/305nuUYfbrMxuHFXYyGJvtllstFEMS/FyCR4uhg+L8zVO0Fsl0cZr7C1XlHRamXtfYuG7h1zr7DgWYA7V8BmyANnHxFCgw5BpiD8uL34tfzDaYP8WFhaOGDGiefPmI0aM2LRpU2FhITumpmkul4stcwV3eLBK3OBe9BBCqJ8I8ccFYDBvcH8XtwGqgvpgCDAESB4QjVLq06hIwQNW4LCEJRXOV7Ly7o7ff83KA03XlTZNkhqno2EquBgft8HVONrWMs5+VTLfMk1smCz+D3vvHR9Vne//5+7de+/23e+q17WuCGsDRUGqYO9l7bqrsupasCIK2Kg2UAi9CSGkUgMk9BKSQOipk0mZyfSZ9Dr1lE99/f44yRgL7nV/UtTzfHweeTCZM8PJzJzPa979N2ta+6Z5b0t3vrir+XM3SoA6IASEqaLr7RBBIAxEIYkuiCKFDgjTf3VKOd51Io5Dz9ZVra2tSUlJy5Yt6/lLIYRR5Rt/EvPdNPnBYerHN8ABDVAhdXAGIo02H1KBJITpGhACGoE6wA5sD2DKkabLUnedsa7wt1nWX2bX/XyzmpCDhA1IWIOEteKX6+kfNkbO3NB2xvq6P6xx/XZN7Z/TLc9kO1aWa5US9UAH0MGhMGLMtQWCQIjLEIGqg8UAxYyfn2q+q34YjzI67MafxGhVYkhFz/fuK++jlNJIpTffX5PTHFM/vhGjpINAGt0FdS40Aqagq57DBZQDOSqmlKp3p5WdO6fgP9c5E3a2JezqTNja8fOc0K+2kP/K5glraMIq+qtsnJEjfp/e8JtFh3unHHj0oDcxEPUC4e7cKq2r1wiV0AU0AYVB0aFpIDGQKLgKMxHnpPItl4FRYNVzrNNXxh4YIfHT5LoyMfkpcJrphxBQItA1MB2cckYUKYzEKgdQDGQD7znldeurz55feH5K5SUFJGGPSNiLhG1Kwsb2n+V0/HZ77DeblZ+vDf4yS/1FZufvUgJ9Vnnuzw1Mc8RydNiAGChEGDwqpSpBWFd2l9DBu5fRE5FSUAYqzV4jJ5evb/dGE5H4vfGGIpzzWCzm9/vb29s555FIJG5hmPphYnISOM30gwsoFFEKhSPGJEcYqAPKgC3AeBcZlGM9K6P4dxucv97enLCtJWFjW0KWmrAd/70X/7mdJWxoS8hq+EV24+9z6n+ZVnluZuUN27wTKpVsBQ6gBYgBHG1AQKKZo0NHVAWJQcZ6FJkLowbFCN0zAmnqx0nlKzt+vIuDQc8eczabbdKkSVdcccWYMWOMiHc8sGHqh4nJSeB00w8gyhEDFEiGMBAA8hk+88m7drou31Dz29XWn21wJ+xuT9gbSciNJmxXfr0L/53FElaF/mNd6Lc7lTN3B3+XZf/F57lDtlmeKwusDKIMqAdCgC5BGJVokwgINFG0q4jGQKJAtFs/qHEODCAcOgWhMEuRTy7fuO9LKeMpubquV1dXz5gx45ZbbjnnnHMGDx6ckpISDodVVTV6BJn6YWJycjhl+vHNV7mAGpVcIAY0AUcJUhrw/P7WqzLKz1xZ+vssz293df5sdyQhuzlhXX3CtuDP9+HM7MgFGyJnZoV+ndn0XynO/5dpu3pH7aOHaldG9UMQTUAEQoWMxTij4BIMKkGQIKojpkJTQVVIw/KggIxPliUSOgfhZouqk4/sDo/HIxxx/5XP55sxY8awYcPOPffca6+99sMPP6yurjbuMrxYpn6YmJw0Ti/90IA2wAeUAql1eLkgMDyz7MIVZb9PqTpjS/t/ZLUkrG1OyIkk7CIJO7WEnFDCmuZfpgXOW9V40frmP6/29Em33r7DObORFQE+IATKEYUMSi3MFCIpuPxi8AYBGAQF7x7X0aPPYVcBowSXpn6cfAz9YIzF6/gopV6vd/HixTfeeGPv3r0HDhw4adKkw4cPA2CM9fRxmfphYnLSOGX68Y3Jl51AMbA8itcsTbdvr+yVdviXSw/9IsP5x11qwqrWhKzIf28Tv9mFX28h/7Um+ItV7b9dHzxnF/9Vuv+sJMs9uXWLW1ACNAIRgEKXLCKpUXXIIIVgXNW40ViLy+5OuAxgFIyAaxAapCZBGbjenaBl5l+dHOSX02qNRutGwpXNZktOTn7ssccuuOCCiy++eMKECWVlZT0fSwjp7OxsbGyEqR8mJieR00s/WoBPbHU3bj18ztKcs9MOnb/d/4ftbT/bHErYqv1sFxK2iv/MJr/OVv+YFTwrs/n8jIbeq+rOW1E5YovvnVq+TcIFdAAq18GN5Fsd3JgaG9cKSAEuuv1UXV1SKJgGpkAokJoA0cGNepCYqR8ni2/UD13X586d+8QTT5xzzjlnnHHGyy+/bLfbARihDqPaw5j1BMAYn2Dqh4nJSeP08l+1ApPL3Zet2N474/CfVlf9PNPz862xhI2xhD1I2BhLyIn+Yody1vbg2Wu9ZyWVXbSi/Ib0knllTQdaiVEMGOqeCCu43jWIUHDDJSWllJJL2dUS8WtzRATkF5OdZLe4cHNCx7/L8fbxrwwV7znwGd3ZVqqq6rq+evXqBx988IwzzujXr99rr722f//++GPj3Q9PH0zdMvkJcnrpRwewOYa/57suXJJ7zhrbH3aEEjaHE3KUhPWdCXniP3eEfp3l/X8ppecvP3BdVsW4GrGVwqd/8YTxUjKjhNi8nk8hx3v94yrCOe8pHnFJoJRmZmbefffd55577iWXXDJ+/Pht27YZuhKNRpuamk7+kLX/C+bnzeQnyOmlHzHACSzzov/i3PPTSn6/vSFhrSOhIJpQEE3YWv/fmZV/Sjo0cl3pa4caljUgH3AB8S+imqbFd5Zv2blO1d/7U+P//vrL7qaHUsq9e/fed999vXr16tev3xtvvJGTk9PR0fH1hxgjBU8rzM+byU+Q00s/dKAdKAzhyezKPin7z9hqS9hck7DL8/Nd7l9mHOu7pvjpve7lPloMeAEv4KYIM0EpNXzl8cvVzOM85XyLhH/lXeCcxxOoNm7c2K9fv0cffXTTpk1GSaBxsBDCcGoZh8W7mJw+mJ83k58gp5d+MAkNcDEscerD0gvOWXfgvLya/0jP/+3K3Q8Uumc5YyUUbUAECEmEIWMQRHxDhNvUj1PO8V5/zrnRo/ArkQ+jRW5HR0dBQUEwGJTd08tlj5AJpTQajZ4c8fh2/fu/cxJO1cTkVHHa6Ycq0AqUA09sPnhOYspVG/ddv6PsLXtwqwYXoAAQAKWEBCkiBDEBGn9CY1f6luc3r+eTxr98/aWUlNK4GMRNkK+HNwzZiN/8+lTzE8H/b+EwP28mP35OL/2gQJsQTYATWOFqHJW16429ZVkdcAKdRnG4CigauAqECYLtpEHjqrENGfHY+M5iXs+nluO9/m1tbbFYTHZ7pb4uBkafXQCEEGNueVxjDE/XyRlOfrz+8MfD/LyZ/AQ5vfRDBw9BtAC1EAHADlSq6AA6dEADCKBKRMLQgkCUIaojxvFVb4ZROmBez6eW473+a9euLSwsrK+vj6uC7BG1MqwQI5Rl6ERcXXRd7+nIOtHnb+qHicm/5PTqn0jAgoi2IhoEjwK6hOD4UssRKiEoJBWgDJyBmxfoqUV2J+N+pbAjno8b90cVFha++uqrv/nNb+67777du3cbe6uhIqdw3vhXtvj4n2PcNP6ovLy8PXv2AIhEIvE/x+v1FhYW5uXl+Xw+mPauyU+S00s/GGgUoSg6GRQIDqOLiNHdkIMBOqQGSY0aP6Pgz7xCTyc6OjqCwaDx7/juWVpa+u677w4bNqx3796PPPLIJ598UlpaagyAOuWZVN+iH1LKhoaG8ePHjxo16tJLL33nnXfQLYdr16595ZVX7rvvvksvvXTSpEkej8fUD5OfIKeXfgBUIAR0gkehUyiAChAIiTDQCrQA7YAKgAEKoJgNRk4xRvvCngZE/Mu7ruslJSUffvjh1VdffeaZZ955551z586tq6vreTCl1MjTPVV8i34Eg8HJkyenpaXt3r17yJAh/fr1S09PJ4RYLJYJEyYcOXLkhRdeuPDCC/v06VNVVWXqh8lPkNNNPxhkBCwCokClULosDxVohWwArwNvMfSDAhEgiq+FP0xODR0dHS0tLfGbxcXFn3322dChQ88666yhQ4fOmDGjqqqq5/FGMYcQIl7VcUo4nn7oup6RkTF27Fhd11VVvf766y+99NKZM2eGQqFHHnlky5YtbW1tNptt1KhRY8aM6ejoMPXD5CfIaaYfUoAREAKdQ5fQAQYKhCFbQZqhtUALguoAKBADYqZ+nGKMhKieIzqKi4s/+eSToUOH9u7de8iQITNmzLDb7XGPUCQS4ZyHw+G4m+skJON+C8fTD6vV+uijj7pcrmAw2NnZeeWVV55//vkrVqzIysoyHFlGqN/n88XrHE39MPmpcbrpB8AkKEC7+hcKCR2IgYahhBGNIqIhKkDAZVdE3RwPeEpRVTXuj7Lb7YmJiTfffPM555wzdOjQSZMmlZWV9Uya+sbWVT2rdk4+x9OPzz77bPbs2cYv29rabrnllosvvvi999679957q6urjewAoyqFUhqJREz9MPkJcprpByAEmASVMFJ2jbGAAgSIQHZCtgPtQAhQBCiDeYGeFrS0tKSmpg4fPvx//ud/Bg4cOHnyZKvVanxDVxQlEokYh8U7zRg3ZY/M3VNy2ji+fsycOZMQEgqFAGRnZ19xxRVXX331s88+u3DhQuNI44/q7OyMP9DUD5OfGidWPyTAe3RR7/rVN7ZP7xrnBNatHPHEKwEJScAjYJ1g7eDtkCGJiA5NB+XdT/Mvz+T/cpjJd8Xlci1fvvy2224755xzBg4cOGXKlOLiYkM5eqqCpmlx2YhbIfHA+yl0YR1PP4wTi8VijLGsrKxhw4YNGDBg4MCB+fn5cTk0ejuqqmr2yzH5aXJi9YNDaGAKmA7GjekaxvwmJkC7F2PgFIJCdhkbxvgN3jV+w5j7ZNyrQsYgY3FxkWBfHCm7Vk9xiv+zxxOa/Avi+3vcMfV1+4BzHo1G29rabr/99rPPPvvCCy984403jhw5cgotie+duIR8+umnffr0ufTSS0eNGmVUunxddU7ROZqYnEpOtH5Ag1AgdAhmWBhCdE/9w5f0Q9JuZxXrMYhcdOtHz0V7LNFlVfSUDfENVo5pf/zfiXdHN6Li8Zs9d0kppa7rkUhkzJgxU6dO3blzp/Gt3Kghj39D/+GiaVrcKnr++ef79OnTt2/fpKQkUz9MTOKccP8VA0j8i7+xufMey9jru6b+MQ7Bv3w//wYt6CkGAmCQPZagEMZPCmnIUs/FzID7v8QIifes7DN6hxjEfymlZIw1Nze3t7cbvznlybjfI0YPFUVRotHoDTfc0K9fvxtvvNHlcpn6YWIS58THz79iGYgv2QdxzxI7/vq6onzZGUUBFdJYevfPLy/EFzX149uJO6DC4bCRX2Roxrc79KWURhavcfPHoSKGHObn51999dUDBw587bXXKKWmfpiYxDnB+iG/rAMCEF1qQY6zvl0wjqMfPeVB/7LBETc74svkX2BISNz+6Ojo+Jb4djQa7SkbxpGntqTjeyEulhMnTrzqqqv69++fkZEBwNQPE5M4J14/qNH3sEs/pDTaWH2Rnqt/2c74xgvR8H0dx4sl5JdDJt0ZX98sOSb/krhyhMPhzMzMN954Y8mSJT0PMJKUvr5pGtlKJ+ksTzDxiSP33ntv3759hw4darPZYOqHiUkPTq5+SPRsp6t3h0a6juxybbFvXkJ0Zfr2XOh6QtLjabUvr57/l9lu8V9iZKOGw+GdO3eOHj36rLPO+uMf/zhu3DjGWM9dsuceqmnaV0Lr8dryHy5G1sCRI0euvfbafv36Pf/881JK039lYtKTk+W/4l0GBAMIBAEjYAxMGncL1p3Ry8B1cBVchej+KXpEMuJR8a7YuOD/SjxIz1MwL/N/BSGkvLx8woQJF1xwQe/evR9//PFFixYFg8GvDG7quWMSQgyzQ9f1H0fkI86MGTP69u3bv3//pUuXAohGo6Z+mJjE+d7045uLp4z8W2GIh5FhRRl0DlUaNRxcBYlBUaDqUDl0ChaFCHctHgULQ+uQaht4FDL2RZxcaGCKZCq6yzu+kuHbFXDpGbTnAAenXZMKjXYaPxp/y/GI/4HxRiPxuUxGl8D4AZ2dncXFxW+++Wb//v1///vf33nnnatWrfpKu9yfFA0NDQ8++OBFF13Ut2/fQCCAb5qta2LyU+bE6oeUEl1hCcZBJXQJVSIGRCPRBl1thR4G10EZdAEN0CloGLwTIgxEu1skxgBVypiUKkAlqATrXl1xWkK5TpjOGZWCgXPJKFM508ANU4dCV6HEEIvhyxmoP5FvjkIISqkR1maMxau+ja/SkUhk//79Y8eO7d+//9lnn/3ggw9mZGTU1dWd6rM+lUSj0fr6+vnz50+fPj0xMdFQWVM/TEx6cmL1Q4BzMPaFzREDokAY6JYHrkJVENOhS8NqkGAMlIKq0GNCD3O1k8U6iGLISAQI9VgKQIQkhGhEpZzwbpUC1C7hEVGwMGgQehBqG9ROiG8wOH4E+ULHwyjo+7pbKV4VaLPZ3n777f79+1966aUjR45MSkqqrKw07opXgfxEVPYrSClbWlpUVf0RlEOamJwITrh+MDDSrR/o0o8oEJU8BGgAi9cYhgmaVTRKNAFtQGv3wKgmoBFoBOqBOiAA+AA34AECQCsQBiLdotQJtEithUY6WSTKQoSFQILQg6AhkDBoFIIaY++O583/UWIIpKZp4XAY3d+jDx8+PH78+MGDB1988cW33Xbb/Pnz4yM6hBDBYDA+2cnoZ/VTRlXVuOKamJgYnGj9kBScgjJQAQJokIqxCI0pTAsL0SbRDDQCdYAbqAVqgBrAAhQB+zl2q9geQ4ZfT/GpSW5lSW10kS2ywB5ZYIsttoVXucJbG0lBBEcYiiTKAQfgBnxAI9AGhAENoJCcc8G+mGv9lZHdP256eupisZjNZps0adLIkSP/8Ic/DBgwYObMmTabzThAURRN04zhsqf0lE8xRp9gKaWu64SQaDT6o/+SYWLyXTnh+sEgKaQAl6AQFIJAEEjKAQXoAHxAFVAKHAUOAWtiWN6C6bbYWwd8T2+xPLTm8L2phXelFN6SVHBT0r4bkgpHJu2/PungiBUHRyYfuTH58DUztwydt+P6JXtuTsq9PSXvwaxDz++1vn3UvaQuuqad7aUoB1xAPdAChICeDmxDRX7c+0J86obxZ9bV1U2bNu3ee+8944wzbr311vnz59tstuNJBaU0FAr9NI2Pn853CxOTf5sTHT8HF+ACkgO8O0OXCSHQoZE2oA6oBnYC85tir5c6H8+13pBxZHjKsWuTDl/z+YGrlh68ZsXRQallQzMrR6x3jtjguW6j/7pN9SOyG6/Labwuu3lITsttBzAinw7Y1nlZlr9Xpv2CFMv5yUf+vPzA+fO2X7U8//Z1x57d45hc0pYUwC4CG1AfYfENUXZn9H9fL8LpieF4MVo5bdq0qVevXn/6058+//zzQ4cOGXOQ8OXScUqp/HKpxyk57VNLz8CPIcBGv8hTfFomJqcT31U/DIuCSYh41V5X/0PWI2dWUkgCoUEQMGEExgUHFVCBENACuICCCBbb217Jtdyxeu+AFVsuS8q5dPn2galHrltddccW38MFnf8oIs9b8bINrzjwzyr8sxrP2fGcHc/W4ukaPFWNx6vwcBXurcBd5binEvfbcE8VbjjCrs1tG7y7aUC2s296SZ+F+ZfO3z08+fCj273jDzZlN4iiMDxAC9AOdAooXTWMPWoVu9O6jPp23tXYsbvXL77cy6tHC8jTs7mW0d/QUBGHw/HBBx9UV1fHRVQIEU/h7dmwPZ6vhZ9AfOh4GBEgM+3KxOQb+Y76IZlR00dAg5DtQBAgHNCAEKB2V+uRsNSawFvA26HFjCpzVaIN8AIFHMsbMWq359YNlX2TDvRaWtA3vWjYVsft+xruP9A8rgbvVIl3qsS71XivBu/Y8K4d79gxoQYT7Bhvw1s2vFmDN6rwWqV81YqXS/FyKV4qw2gLRlfghSq8WIMX7PhHpXzSyh8r1e472HnTrsDA9VWXJB+5YMn+v6Rbr93oePpYeEkQB4BaoAGICE2LtYGFwaPgKjjpUe2o61B16DpYVyNh0V1U/0WBooSgEkSclIG6PYP/cVsh/tVYVVUj20p2dxn5TpzokzcxMfnR8G/ohw6hMrAoZNBQDQFh7KcxyIiEJiB0iChYG8KNEEwCIQk3RX4I82uij2yq6D17+wUL8i9OKR+42X/nYfWpGrzkwVg/JnjxXrWcUknja3I1M9b7Vv29Sv39KvJuFXm3irxTqb9t1d7iXYC+AAAgAElEQVSpUN8v198rJe+W6ONLtTdL9DfKyesW+nKleKkaL9Tg2Ro8WYWHytldR6M3FbYPzu88e13971JdZyVZrl5l+dse2yx7ayFDPRAGCKgE5UwVnEJCMsQUjULTETVmHVLDNuHd+kF6jiyhkESeFP34Sv0zYyw+KdaYtxr/vdF0xNQPExOTE8F3jn90bTAcoBIMUna5pIwkWg1gFFKT0AAGAjQCNcDeGBJLvQ+l7uw3I73fwi0j1pc/cLDtyTL6qgPjPJhgw/gK8Xap/n65PqWCGGuyRZ9s0SdV6JMq9Pet+rsW9V2rZkjIxGo6sZq+X0XeryJTKvlkK5toIW+Xa2+VaWNL9ddK9ZfK9Rcs9DmrMFxeT9vxlA2PV8tHrXjcgrv20SEb/JevOHbJ0t2DUnY/uuPIhGNVWyksQB3QAQR1xMK0WxsImAKmSapJSgTjXcN4JVh3baSURttGY+jI9/0Wff0tkNLICIrn16Lb0wLA5/MVFxcbc7kJIaZ+mJiYnCC+m34YLh1Iw3sjoVMIokBtR6wJWiv0CKBSaDpiFJ2AD9hBMNkSuDtt+8AFawcv33LLhmN/OxR42UHHejDBh4keTLTJ90pik4+GZpQosyrZRxX61AptagWZXKFOLtcmWZSJZer75bFJFfrESm1SFZ1UpU+qohOr9YmVZGIlmVrFplr5pAr6rkWfUKa/VaYZJsjzxbF/lmrPWdizVvm0Vf6jEk9axT/K+AtF8oVj4ulj7MGD4et3B67cUH5x2v4+ybvu2l3+Tk3zZgo70AroMDTS6KtFoRKoBBoBoZCcQ6jgMfAopApJjeYsRmn8ydqBe8YtDPGIRCKbNm267bbbBg0atGXLFnR7t0z9MDExORF8V/9V965KACIhNIFIBG2daAsj3Mo728MxlSMEBIAtUUx3iVvXHu27fNfln++4eWvFMxXB19xsjJuMcWmjy9vHWoMTa6LTa7W5DrrYRpbWkCU1dFY1nV7Dplfzj6rpx5X0wyryQSWZVqV/WMM+sNEPatgHNjqtmk6q1iZbtUkV6tRKfUoFmVShv1ehvWvR37HQ8RV0XKV43UJfKWcvW9hoi3jBwp+3yGctYnQZG72v/eXCzmcORR87pt9dIkYU0X4HIr33NP0xpeji1MP3bKua7aIVQAugAMFO3tWUUQEUCZWBUEidQQ9D64DWDhIE1Ywx7UYHx5MSQTeqE+I329raMjMz//a3v/Xq1atXr16jRo0qLS0FoCiKqR8mJiYniO+oH6K7PSEHhBRQKEIqWlW0aggSUA3oAMoolrrx+G5fv+Qjf16QP3Sj/SkLebMOb/gwuib2eq0yuY5/UM8+9mnTXUqiS1ng0hY7tAVVscSKyDyHmO3EbCcSHTLRgVlOOcuJz1xyRq2c4eDT7eKTWvaRjX1QrU2r0qdY1SlWdYpVm1yhGp6uiZVsYhV/r1qOr+BvWvgbFvZ6OX+lnL1SLl6pkK9b6HsV2viy8HPHwg8did5ZjBsrMMiCfkfR/zAu2uC9cOnhESmHxxV4NzRKG9AGRBh4z76+lEKoEtEoIu2ItEBpB1EN/dAA9YTrh5SyZ+Wj3+9ftWrVW2+9ddZZZ5133nlPPfXU9u3b29rajHuNzuqmfpiYmJwI/i37Q0AHYpAqNIooRBgsAqIyoBXYFcTYg74RmUcuSzl25erql2rwaiVetWBMJSa68VE9PvTxibbOxHr9U2/0I0fnR/aOGc5ooo/OrcP8esxx8DkOPsch5zj4XCfmOsVcJ2a7xEw7/6yWznSIT51shoNPryWf2OnHNvJBlTrNqk2tUKdYtSlWbbKVTKqik6vFe1Y+wcLHldGxpeSNEv31EjqmlI0pJ6OLWkZbOv5pif6tVH+gHPfX4O5q3GbBAw7cXoSh21r7Jh27Yv62u1ftm+EKHQFqgCYB5YuhiQwkAtGpoTOEznZEOqCp4F/oxwkuJomn2IZCoT179owdO/aaa675wx/+8Oqrr65du9YIewBQVTVewWDqh4mJyYng34l/6F19rKQODsmhC+jgEm6CtLrwP/LL+q3c0WdF/q0760Zb8UY5PnBiph8fO/CxDZ+5ZKKTfFLd/pkjOMsVTPREZ/mUT336xx4yxaVPteszarRZVcqsKi2xWp1dQxJt2mwbTbTrs2xkZq0+y8ESnTTRyROddJaDzXSwT6rVD6u1jyrVaZWKoSJTK/UplfQjO6ZU4/0K/nYpHVeiv1WkjysmY8rU58rbR9fGXrTTv5drDx4hDxzD/cdw71HcdQj3F+Phcty5P9R/ddlFi3dck1nwyJ6KPUAp4ANiMIZVSWgxaG0SnRo6w4hEoelx/dBOxozDUCiUl5f3+uuv9+rV68wzz3z88cczMzMjkYiR1xs3TYwcX1M/TExMThDH1Y9v3Fx08DYoHaAxCJUyRIUxxUNV4QAmlrj/krL+rIzsQfkVj5W2TbLIuTWYUYXpNZhZgzk2zK8RC2z6wprwwprQvKq22dVtiTXBmQ5lupN+5JJTnfjQIec4+IJassBOFzroAjudb9fn1eiza9TZNVqiTU20aYm1WqJdT6zVZteS2bVkjpvPcvJPbfrHVcqHVmWqNTbNqk2z6lMrtKlWOtXKp1jlJAt/v4y/U0zeKFGeKe0cVR5+xqo+W6H9s5w+fYw8eYg8Xqg/eZg/fpg9fIw9UETuKooNK2jovbHi3BV7r8s+Os2nHgS8QKcEJ4BGEe0E7QTCHFEGXYB3TVpUAX6cUSjf5XWOP4QQomlazzh5YWHh2LFje/Xqdf755z/xxBNr1qzx+/3obsb+db7nz4uJiYlJN99NPzTQNsQaEQyxqCSACmiIqKjQ8ER2yVVZBeds2XdVUe2jrtDbbr6kGmnVmGPFrGrMrsH8GrHYRpbWKMtrIsuqO5ZVdyyzhZbaY4sdbIELs12Y5cJsFxa6sMzJljmF8XOJky52sIUOfaGDznfq82rJPIc2167PsStzbNpsuzbHSRKdZHYtmVmrf2pTP6lWP6pUP7RqH1SoUyu0aVY6pYJNqWCTLXRiGX3HQl8oUf5Zrj5vUV+0aC+VxV4qjrx4LPLPo6FRBzv+fjj46NHYw2X0Pou8sUi/Or+zz1b3b5fvGrCl+F1XbDfgAVopmA4whlgYJAyhSBZjVO+aTyWMGe/fg34AoJT2LAjfu3fvtGnTLrzwwssvv/yBBx5YsmSJ2+2OP4+pHyYmJieZ76YfFDSMWAQxQEgVIAhKrPfjiVzPrxfk/O+W4qFVbU81Y2IT5rlkqkVNK1PmVOnTa8kshz7XoS12KstqYyvsoRRbKN0eybBrmbUssxbpTqQ6sNKBZCeS3Uj28JVerPSKZI9M8rDlLr7MRZa7+OduutTFFjm1hQ59Qa0y367OsStzatU5Tm2+i81zs7kuOrNWn1GjfVylfWhVplm1qRXaFIs+xaJPrSBTKtgUq3yzWIwpFWNKyZgydUx55HVL8OWK9pes7U8eq3/8aOMjRZ0Pl2kPV+C+Mtx8BEMO6Odvc/82vfCSjP0vlTRu1uEEOgFqDDikDJSCMXAhGOeia0Tu96UfRscRTdP27dv39ttv9+7d+09/+tM999yzYMGC+HCnWCxmFA9+y/OYmJiYnAi+m34wcKOThwSIRAPHGjfu21z5q/mb/1Lov9EtXwzi3WZMt4slVjXdEllREUq0R6a7orPc0Xme2BKPmuRWUpzRdEc006GurSXrasV6B9bXYr0d6+xYbUeaEyleluYRKV6W4hErPTTZxZJcerKHr/DSJA/73KMvc5ElLnWxQ1vk1OY5lPlOfYGLzHeReU46x0kS7fpndvJJtfpxlTa1Qp1iUSeXK5PKtckWfXKFmFiG90vxdokYV6K+URp8rbz9lcqWl6pb/1FW//fSxkeK2x4qiT5UIu4vwt2HceMhjKjCX/Kbz0w53Dsp7+n9rvUR1AKtRpiDAroEFeACECqnKvhxzI9/Rz+McR3Tpk275JJLrrjiijvuuGPx4sUdHR1xqyLevORb6sy/58+LiYmJSTffTT+kBCTCiuwQqAOS6/hNa/adnbL7sjznww14vRPTGzGrGvNL9ORqPdmtL3ZHZzpDn3kis72xBT51iV9f4SUrPVqam6TXapm1ZG0tXVcrNtRiQy022LCuFukOluomaS6a6iapbpri0pMdWpJTTXaTFR59hZskdf9M8pAkD1nq1ha79IUOdW5tbI5dmVOrz3GSRCf9rJbOsNEPqtTJFcrE8uh7ZdH3yqLvl+vTrJhSjvdK5LgS/fXi4CulHaMtHc9bO56t7BxlCT5WGny4KPLwMfLQEfHQYdxzBEMLMbwYA/dHL1xddmFS7v27K1YGYQfagagGGiJQOLgAmAamgTHw70U/DM9VW1vbs88+O2zYsOTk5NraWgDGxHJCiKqq8af90bcQNjExOQ35bvohJGIqIoAXmFvZeF3qtguSNg854HmqCa/XY1oA8+1YYsFyC0+uFfPdyic1LXPd4fmeyCKv+rlPX+6jyT620stSvCzFRVKdJMNFVrnoGhdb52Jrnfpql57hImluku6h6R6a5iapLj3FqSU71BSXnuzWV3pIspes9NH4WuGln3v0xQ5tvt3QD3Wug8xxs0QnneGgH9nI1Gp1klV5tyL6Tnn0nXJlWhUmWfFumRhXoo8pVl8ujrxUHHmhNPJChfbPcvWpUu3xIvXRY/qjxeLxEjxWgpv2YsReXHcYgw/r52+qPDt517255UubiRMIAZxCRBlXVQmqQI9Bp9+TfqC7621VVZXVajWaXOm6Hq/tQHdHcbM7rImJySnhu+ZfoZnCC6xsoiPTNp+7IOP2A7Vv1eF9Jz6zYWE1Pq/CkmossMk5TjLdEfukun25S01xaikukuZhKR6x0iuSfSLZJ5L8bEWApdTR1HotrVFNb1DSGiLp9bFMn77Gx+Ir00czvCTNq8dXildf6dGMlezVVvpZkp8u85IlHm2hW5/nUuc59UQnmeUgnzrJdCf92Ek+tJPJNerEKvXtSuXtGj6+Gm9VyrHlbGyJeKOYv3FMvn5UjCnFy6V4rlg+eYw+ekx/uIQ8ZCGPl2PUEdyxDYN3Y3gJriyJnbml/NxVe0Zm7V3bIZyABkCA6CqDFkMsghjFN7cM+U6vs3F8PLYBwDA44o+KxWKmbJiYmJxaEggEgfiGsRaSS8kFOIOkgLGCgBuYXakMX76134ot9x1yv1HHPw4g0YFllVhhwfJKLK5miTbt01p1ro8ltyDFRVY5yCoXy3SzDI9M84iVXrHCS1PrRFoDT29kGc16Zoue2RrLaAmvaoqur9c3BPiGerGhXmTV8fUBtjZA1/r5Kn+XlqR79FSPluJWV7qUZGcs1cdSAzzVL1ICIsknlrjJfKc+267MduiJTvqZi3/q5jOc4mMH+8BG37eRcdX0rWr+VqV4qwLjyjGuFOOO4c0ijCvDmFK8WIxRx+gjR2J/PRr+a1Ho4WPsyf14bC9uy8eQQtbvSLT3gYZzt5VdkLbroe0lmQHSBCiAyjmBGkFHB5opNGNiloDs6q4YnxEiAdF1T7xN1vH0I95JV9O0aDRq/DsajXLOCSHxEIiu6z0bmZiYmJicNBLaoQVBdHAI2TXTQpMgHIIBVJNaDDQGdAIdQACY58GNqyp6zdry193uaS2Y0YwPbbEZ1vCCyvBSa2RZVWy5TV3uJMu9fIUfKQGke+gqt57ppplumunW0z16ukfP8JK19Xx9Pc9qYFkNZEMj3dBENjbrm5r07Do9J0Cy61h8baxjG+tEdhM2Nsj1AbbGq2e69Uy3vspDVntpilNLcelpHprqYyu9bLmbLnaQ+XZ1jk2bU0vmOHiik89yyhkO/rGNfFDDxpcq71Zikg2TbHjbirfKxNgSMaZUvFYiX7Pg9Uq8WCGeKtYfPxp59Fjkb0X8iSP4+0E8mI87cmM3HIgOK41efqT1wt32C9IP3b6+ZGsQ9UBAVdrREoK/A84ga+CgDCJGaURjHOhK7WXoGr+oKNBUCAEJzmV9ff3ChQs3bNhACIl3YoeZT2ViYnLak9AMrQOaDgohoRslHRKEgxGAcjANaJFoBeqALUHclF4yaK3tnp0Nr1rZNA8+qqXTq6MLHNGF1R1Lq9uX14SSa6MrnXqqm6Z4RKpXprr0DJdm7PVr/GRtgK7z03V+fUOAbgjQTQG9x9KyA1qOT83xqTk+bdMXi2z0k5w6ubFObKwTGwI8yy/W+tgaL13tIem1WrpTz3CRdA9N87BkN0ly0WVOttBOFtSSebV0bi2fXStm2vmnNXR6DZtUTqZY5bQqTK7Ce1Y5vpy9WUbGlJPXysmrFvqqlY2uYP8s1UYVRf9+LPzYMfXRUjxchPv36bfldtxQ0D60KHp5afTPh9ou2ObtnVryUm7DPgVNQCfUdgTC8BN0cOgMzJgPolLoKrgKaAIRBeFod8ovLyuzpKVnDh8+4txzz33llVdaW1sBGOZFNBo19cPExOQ0JyEIEgURoOAcVIJIMA5BIRk4gQAD2gTqgDwdL2wvueCjrDu2Bt5246N6TLGLaZXKbLu21K0ttgWX2TqTa6OpLjXVTVPddKWbp7hIilPLcGlrvPr6ANtQLzY2yI2GSeEnG/2asTb51fjK9io9lrrRq270qht86kY/2RSgOXUyuwHZDdgQ4Ou8bLWHZDjVdKea7tTT3CTVTVd66EqvSPZiiZMvcrL5DjanliTa6cxaOtPOZ9rl9Cr2kZVMrehqlvW+VX+7XHuzXBlj0V63aC9X6KMryItW8s9y9Ymi0INHQ/dZxV1WeVuRMryw9ZoDzf2Lw5dXapdV0D6FwQsyK/vOy383r74KaAUaREcUQYZYVO1oCbXEBDUkhBtDU6gE5+AMgvndruXLl9/7wIPnX9Rr4LWDX3311cLCwp7xjG+ZG3jqPiomJiYmXyJBBdVBITmYMeebSlABCggw0IggDB3AMY4JR+39F2bduq7y+SL6YR0+8eFDG59ZSxe66VKH8rk9nFwbTnWp6R49w8vSPGylm6906hkustqjrfNTQzw21fONdWxTQO9SjoCeHdBy6vTN9WRrHdlaR7b6dWNtCehbAsRYOQGyyUc2BWh2QOTUyZw6aVgh6318rYeu9pBVLprhMrJ+aYpHpPhkklssdYlFDj7XTmbbaKKdzq4Vcxxybq2cWUU+Ko9OK4t8UKFOrdTfq1DGlcfGVSivl8deKouNrtBfrmYvVpGnSiIPHO24r0K/u4rcblFGFHUOONx65bFgv3L9SisuOaD2293Za+mxIQsKEos7a4EOoF3XuSSMqxLMaLcYZaJD0SK6LgFAtLY2r16defe9d/3vuef0vXbg0y+8sHPXHsNnxTlvbW01/VcmJiY/FBKE0QORc3AKSQQ0Co2CAoAAV6BL1APTj9X3W7LhmjUHxtdiog1THfikFjNrMcfOFtq1pfZYskNNcygZbiXDSzK8LN3LUrws1U1We+k6L8nysw0BurGObQrQjX6y0atm+/XsgLa5nmyrpzsa+a5mvqdF5LbKXU1sdyPb3ch2NbFdjcJYO5vE1jqaEyDZfrrRq2/06hv9ZJOfGx6trDq+zs9XeUimm3ZZIW6e7MUyj1jiFvMddK6dzKklc2v53Fq+2Cnm1qgzLOGPy4MfWyIfWpXJFco7FbG3rdoYizK6NDraqr5Sw1+qYf8oiz18pPOxktgjZcqDFeo95coNxzoHHewccFgdcExecYBfc0D23dJ64byDNy85mOFACxBj4AwAA4ROtbCmaBCGFdLQ2ZK8Ou2OB+45r8+fL736ymdffWXL3rwwJRLgnEciEaPgQ0oZi8Vg6oeJiclpTwIYwCQYhyQSCoNi6Ec0pnMJXaJRILsety/fe/acDX+rVKYF8IENH9dgtgtzazGrIrqgMpriImlukuHSMtxKpkdd5SGZPp7hE6v8IquOb/ST+Nrk07L9+ma/tq2ebm9gOxr5ria2p0XsbUN+GwrasbdF7m2R+c3S+EduC/a2ILcFuxrl9ga+JUA2+Ui2R9/kIzkBtrkem+uxqV5uCPB1fr7GSzPdNNWlr3TqKT4Zl5BFDj7fwebV0nm1dLGDLbCpcypjn1ZEpluiH1qVKVb1fav6bhV5o0J9qSz2okV7qYa9WMOftuhPFEWePBx58mj08TL1ISu5q0QdcSAyuCA68CDrfxS9C+nFheq5G9znz9v/xCZ3bgs6AS4hCI2FwooSlRAczFHvWpWz9sF/PH754P7n/KXXfX9/NGvn9ojkOkCMWY6ERCKRr9QAmvphYmJympMAYxsTXEITiApEAUVKHtNkDGgCtrXgmZzqq5fk37jT/3oAU5yYUY1Z1ZhXiwU1YoFVWVqjZHj4Kg9b5dYzXUqGW8l065k+uqYOWfXYVM9zAsSIhGf79a11ZHsD29Uo9jRjT4vY0yJym9neFr63hee38IJWltfM8ppZflPXP3KbRV6TyG0Wuc3Y04xdjWJHo9hex7bVs611dHMdzwnE07RElp91SYiTpPq4ISHLvXKpSyxysgW1ZL5dX2gnC+1kQQ1JrFanW2PTLNHJFcr7Vdq7NXxsJX3Joj1v0Z6rZM9V8acr+dNl5JnC6D/2hR8/ojxq4feV0hsPKsPy1YEH2eVFOK9U/LIo+ovClj9k23qtLHolN1KqI0K7pxAKRDrbduzcPOqfT57d60+/P/+Mx154JqdgbytRjUbvMUojqqZoXVUduq6HQiEjMfdb5j6d0k+LiYmJyRckQAUIpOQMGkMEiIBrYJIBfo7DwERrqFdizuB11WMDeK0an7ow145ZVplYThZV0ZVuZHhkulNf4+GrPSTDGUt3RDNd2hofy6pHdhM2N4gtAZLj03J86haftqOe5bagoB35bchvkwWtIr+F5zWzvU16XqO+t0Hb26Dl12v59dreBhJfuQ0sv1nmtRqPwl7DHKljWwIk26satkhOPc8OdElIhoukeWhcQpLcYomTL7ST+TXaghqysJYtcsg5dvaxVZ1cHptUoU6spm/XyDerxMsW8nw5edbCnrXyZyrxnBX/KIz9LS98/6HoX8vYneX8hiPadQeUwUfZnw9H+viQUN6RcND9u6KmX2UWXbWiNMmJZg5wkKjYtyd/9NOjLr34/Cuv/MvDj923vWBnbYNf6Z4SQgwhkEB3S5KvvDGmfpiYmJzmJCAGUDCIiIxIRCFj0HQQKAIuYEaDvGJ1YZ+s4gfL6HgbPqrGXBvmVYq5FrrAqn9ew1JdMsMjV3lYhkNf7dLXevQsP9sQ4Fl1PKuOZ/nZJp+21a/vbOC5rTKvFbnNYncj212v5TaS3EbNEIy8Rj2vSSto1Aoatf2N+v5GfV+DVtCgG0KSX6/l1ut5jTSvSexrxf427GtFbjN21rNtfn13o9gWoNluJdur5gTYlgZkNyCrTma4SLqbGUXvyR6+zMmW2PUFNn12pTbHLha4MMeFT21yqpW+a9HHlevv1WB8NcZU4oUy9nSR+nQxec6Kl+x4qoQ/XMJuL9Ovt5DrK/jIMjrsaOzqQx2XVYTOqmz5r9qmhGpfQmHl/2QXXbmh+pmt7qON2LGncvSLb1/S67JLLzj/kXtuz0pPgtQEKO0ekc6MokIuwSRMRTAxMflhkmBkmGpgUcQkYhAqwgQxhICcEO475Dkv+1j/g/VPOvBRLZbYsKgKCyrZAqu+qEpfYeepLpnpEplumukkq116d6icG4UamwJ0W4DsqNN3N3Z5ovKaWW4jya1X8xr1ggZ9XyPZ30wKW+iBVnaolR9qpUdahbEOtfLDLfxgCz/Ywg+08P1NvKDZ+Cnzm0Rek8hr5HsbZW6D2FFHt/n1LT59S4BsruOGL2uVW1/lYUZRyEo3T3LR5U6yxMnn12KuA7Pt+LRGfFIlPqziH9TgAzvGHlPeKqcTqjChBmOteNUiXyrnL1jk348q9x+N3lYUvbVcvbOS3lWh3Xk0eP2B+pGlDYOqGy53NvR2BPqUef+yu/KK1KNDZu645Y0lfx7w0C/PvOz++5/M376LhdpBI+AKBBcSTMbFA6ASlJv6YWJi8gMlAQxSQAHVjPndVENY6ArqgAmH689Ly/9znuNOt3i5DvNqkVaDRVa2sFJbVKUvtdGVDp7mERkumu7UV7noGjdZ5yUbfWxTgBoxiZwA2d3IchtJbiPZ20TzGmleo24ox/4mWthEDraww23sSDs/1ilLQigJybIgjFUcRGknijpQ1IFjnTjUKg608MImWtBACxpofhPb38T3tWBvA8ttYHvq6Y46usWn5fi0bD/NDoh1XrLGSw0J6aoL8dAVHjmzUp1ZzefUYo4LiQ5Mr+ZTy7T3iqMfVMmpVv5+GZ1wTHnzaHRckfaOhb9fjdfK9WeLo387Fn68OPJ0ufJsSeiZfN/ft1W8WFj7RJ7ltq2FgzK391+2+cpZ2X3eSj/vibkJg57r/8TkGel51YEI0Ti0KGgUTAXj4BACoks8AMJBKaQ54snExOQHSYKUIBwUnIEKqXJGhEAnkBfDPetKz0rKH1YWHNWEsT7Mr0aylS+0KouqlaV2PcnFUzwizcPSXDTdqa/20jVeut5HN/pYToBtraNb6+j2OlrQgoJmntdIDVeVoRwHmumhVn64jR1t58c6RHEQJSFZHoIlDEsI5UFZ3omyIEo7UdqJkg4UdeBoGw63yUOt4kAzK2zk+5v4vka2r5Hl17P8JlHQLHMb2Faflu2OGY6sjT623keNcHqai6Z5WLqXp/qxyMHnO+UCFxZ5sMiDeQ58VqF9WBRa7MZcm5hepk462P5OQdM7BU3vF7ZOOdz+aZX6flHbawX+0bs9r+xyvbrFOjpz/3NLs+98Z9bIVyZf+dSY8+5/4Te3/PNnI57/r+vH/eKOyRe/lvzyJlsl0ALEBLRgO6gCLQrKwSA5JI/rBwUlpn6YmJj8QEkggMoACIBRElMh24Bq4K39gWGpxwZnu0Y5MNaH9+18jk1bXB2eXxL4oZwAACAASURBVBVcZIstc5FkD0/x8RQvS3XTVJe+xsfW+fl6H93kY1v8bFuA7qjnO+vJ/lZZ2Mz2NZKCBr2gQTdsjiOtoqgDRZ2ypEOWdgpjlQdleZCXdtDydlrezkvaWUk7K26jxa28qI0Xt3fZIoaWHGhmBfXa3oBS0ED3tYj9rTKvme30a5s9ymavtiVAsutYlp+t9TGjLiTDyzJ9PD0gl7v4/BplZnloVmnHPGtkiU1bWqMsrYpO3+9PPNiwqKg9yRJJtkaSSjsXH2leuD8wc0f5+5l7n/ls1d3j5o94dkq/v7580fAHz7lixOX9b+h3+fCBV9068NoHLrzykV/1e+LMe6f2fXfT0JXlN66xfFodtgCdgIQAV8F0UAkKySDiEsIImGbqh4mJyQ+UhBgQ4xIc4EzXlAjgBNaoGLg8d/i6mlGHxXsOTKvBJ9X6PHd4gad9rq1jkSO2zEuSfSzZx5I9dKWHpHnomjqxPiCy/CzbT7f42Y4A29XAcxtYYbPY30T3N9F9jaSwiRxq5Ufb5LEOURJCSQhlQVkWlOVdi5cHuaWDWTpYeTsvb+dlbayknZW0ieJWXtKGkg6UBVESRFEHDreI/fV6XkDZ38D2N/HCZpHfxPbUkR0+datP2+zXjUCIISGr3cxo4JjmoclufblDWe5Q0r1sXQPWB0RqTWhpUcPq6mBKceOCPVXTVu17Zfa6h8bPveEf7w96cHSvobdfOGDkuX2vO++KkRddc8slQ+644rpbrh52/XWDho28atCtV4688dp7+w5/8oL7JvT7aNMde5qu3Fb3p6RDj+yu3gk0Ap1EIZF2MN3oYCyMGv+uJscahAJ8NfPKxMTE5AdBQsTQDwIQQVWtDdgLvFDh+fPnO+/Oa3+vDDPLsMiCxdX6Z76mxMamOc6OxW5lmZ8k+elyH0ny6Ct9NM3P19bLrDpp6MdWP9sRYLkNIq+R72tk+xtJYRM50EwPt/CjbYbNgdJOGMphCaEyJCtDsiqMqjBqIqiJoDqMqjAqQ13LEkJJmyjpkCUdKOlAcTuOtsnDLeJgCz/QzPY30X2NLK+R5jXyPfV0e4Bs9mpb/Cy7jm0I8PUBoyhET3NoKx2xDK+W7Aguq2xZZm1cVlo3J7/q3VV7Rs9bfcvoydc9Obb/Pc/85fqHeg+9r8/gey8Zcs8VQ28bfOutQ26+ftDIG64ZfsMVw0b0GT70ouuu7X3dVYNuGjR02DXX9O1/0RWD//f2J86buPDsjYf+91D9nw50/iqjtN+qwsT6iBuIAESPglNQgIFx6BJUQkhAapCmfpiYmPxQSYgAMcFBBQg0DQEgFeifc+iStSWjSsUnFsw5IpdVyaUOZXpt06xA+zxnaKlbTfLTJD9N8uhJHj3FSzMDLKseWXV8k59n++lWP9lZz3IbWH4Ty6/X9jVoccvDEI/yoCzt4JYOVtHJq0K8JiLtEThicMTgUeBR4VHgVOBUUNu9ytpYaSstamFFLay4lRe3o7QTJUEcaGX5zfreBm1vk57fwnObxY46muNRtvhZToDlBMQmP9/gIWscWkZNNL0quKiwduLa3FEfL771pbeHPfb8VXc+evHw2//3quGXjLi7z5Dbew24+S8Dbu577S1XD7554KCbBgwedkX/y/sP6jtk6IBh1w0dOGJIv5GDLr/p2stvHdRnaL/+Nw6/7Lobzrnl/j7vzR6eX3l+TVtCnvtnezvO2N120Ybyhwoqt+toMSalMwIOcAgOwSEFpIQAYdAkTP+ViYnJD5KECDQFKrgOgTCHHfh7cccfUw9fv79jdBXm2Nkca8sHtQ2z6mNL3Zhfri+qVlZ4aXq9TPGzFS4lxauv8rO1AZpVRzf6tU0+bWsd2d3UVeqxp0HPq1f2N6pH2lhxEOUhlAVlaQcta9eqQtwWEa4YvAp8KvyK9MWELybqVdRrsl5FQIVfke6odIZlbVjYI6gJicqgqGgXZW2srE2UtYmiTr6vXdvTGtvVHNvTqu9tY7ntYmcT21pHcrxkg1PZ6md5LcipVaauPnDTS59ccMMTfUY88uerb77wkmsuv6L/kGuuuf7aASMHDRw2aPCQoSMHDLvp6uG3XjP8lkFDRw4bMvT6wQOvH9J/xHWDB1571cBrr7pu+KDrRgweMOiqK6+98qrhQwfdcc/v+g359fUPDp+56q+HGvoda08oqE/Y1/k/e/jZBfJXWbWX55QtaJXHNGgAUVQpuZQSHF1DVgg0yCikaX2YmJj8QEnQoGpQAZ0DHcBeHdfvbvh/6RX3lojXauQcR3iO3T8lEPikIfy5HZ+X4vMqkuyhGXUyxUtXupR0j742QNcHyIYA3ejXcnzqtnq6u5nntsrcZpbbqBU0aoVN2pE2VtRphDp4RSev6CC2iHBEuCcivFHujzF/jAWiLBBldRFSH6WBKK2LsUCU+aLUE2GeiHBH4YjImpCo6hQV7aKiXVg6RGmnKOxQ97ZF97RE9zQrua10Txvf1Sy3N/Bsj77ZR3fUy9wm7PSw+Tsqbn91+q8vv+WSwfcPHHrPyCE33XjNtbdcdfmd/S+7fUDfG6/pN2LwUENCBgy7acjQEdcNufbmQVfePKjf8IFXDht8zdAhA4YM6T9o0JWDBl8zZOjwASNvOavf8AvufnrYtBV/3W6/sSh83sFgQuH/x959BrlR5YvfF+AEBrMLyy4L7MKSbePJOTgTTc6wJC/B2NjghHMG4zQzNjbOnuCcxh7nMEmaHCWNNMpZGqVRVqvz6e7f/4UMy926T9VT980t3+pPnZqSS343Ln/rnNN9TkTSxt5eB3+Swqj6yF9r1J+22ToB4gAsIyDgeGABcUBzgAPQgANEAcRLaEUi0U1KQgCdgAQAQgCDAGV9ibFHVI/VOD4xwzwjbDRGtlk9Gzy+jc7oLxrY0wd7DajCjg46uXIrXW7GD9nokwOo2o2S/UgejHjdz9UPCg1+1OClmwfZ1kGmI4i6wsmHrLj+mKCJcSYCzAnehvHWOGvHGEecGYizbgw5Y5QrTg5gjCvBDuCcE0cOnHfgYMPBgkNyFqKJCf1Rvj8C6ih0h+i2QaLJhzd68AYvXedH133CNT9cGuAvuPnTVvKUMXHFy190MmtrOqbN2/hA2gspOS8WFj4/MbdoUkbqlIyxU9LHFaWn5ucWZedNSs//9/xjQk765OzU4oyU8TmZhTkZ2VmpWTmZWcVFKUUTHsmZ9JeiVycv2zHzumm6Ei/ojP21OTysLX5rO3tnI9wrgwe60b1nVOP2XqzjwA/AANAgIOD+3Q8GSICYuPshEoluWhIc6DATBeBpABvAlzXqpyq6JrdTs10w3yCs1QW3OQbLPKHN1ui2fmGvDg6YhUoHV+VA5Say3Jg4bGdOD3Bn3dwZJ5M8HvGKG9X6uDo/3zjINfqY9rDQHkQdQdQdZOVhri/GJ3c7rARYE4I1zlqjjC1KOeKMG0MeHLkTtAdnvATnJTg3wbsJ3oULDpy34WBNgCkO+rigjf7aj7CgCnKKQbbLS7e4KekA0+DlGnxQNwiX3cL5Ae64OXHEELng5RoxqBmg97abc9/4elzBK0+MzU1Py5mYkz0hK604I604Kzsvtzgrb0p6/nPp+VOz8ibl5RYV5eRMzM58IT9nYkZqfnpKTl52ZvH4McWTHi6ael/RtJfW7vrkaMuMtsG3u7HsduzhzsTI9oREit0hg1FSeFAJ917UP7T11DZzLLmLjgOwyX4wHBBCsh9xsR8ikeimJcGADbNxECABIMPguQMN6UdUH+pgngPmadAyrb/UGdrhipYZY9v6+b1GOGCBKgd3yI7KTWSFCT/qRNVuPnmf4DkXc8nNXvPyv/VDNoi6ItAV5ruDbE8IKSK8Ki7oE2BObpLjYMOQLcY64owTYz048pF8kBaCtBBghAAj+GjwkMIAAU5CsGC8BbvRD10MNBFeHeHUIV4b4LU+XulhOwfoFicjc6FGLzQMwjkHddZF13jRuUG+2kMftUUPmUOnzKEdF9rf+WrJY+PyR6dkTSgYX5CVlZOWVpxXlJs7ISM/2Y/nsvKm5OZOKMwpmJiVMy03Z0p6anF2Zm5x8WM5RfdkFv395X9mz98wt87wWa311TrXxKZgRjv+SCdxV2vsFml8mBSGS/l7eti/NLoeOyx7r6ZNARAAiAHQIADHAcMBJQADFEAiubsuEolENyFJHNgE8BzAIAc7+kNZO69MvuD4ygTzDTBfwyw1hTc5oztt0R262DatsMv8735UmKmDVuqki69289UuNtmPqx7uuk+o9XG1Pq5xkGsKcN1R6I5wvWFOHkV9MV6bEAw4mEmw4IIV5xwY58TRAM65Cc5PCYM0H0EQQRDmIIQgwICPBjclDBBgw3gLxptvTEFAGxWS/dAPgs4v9Pug1811DKBmF5J5QDoIl1zsGQdRM0Bf9HHVbuKIJXjCEa4LMv0xWL2tKmviy89kFhYVTszJys5KSy8uHJ+bOyErb1JG3tSMvKnZuVPycicU5hRNzMqbMi71uYzMyUXj04sm/imt8O4Jr+QvK5tVq53ZMfhGo2dina+wLZHazT7Umhgli9zRStwqZW6RMiM7iAfaQ2Mu9qfvPns2DnaAAAAJADwHLAs0B6zAApBiP0Qi0U1LEgOEARA8mEj44nxP2p6691uxOXqY3w/LDNxKF7nRndhtjO/WxLfq+Z/NsM/CJftRZWUO25lTA0K1mz/loKsd9PkB9pqXT/aj3stJ/VxrgO+KCD1RXhEVlHFejYEOByMBZhJMGGfFORcuuCnBR0OAgSANIQZCDIRYPsRAkIUgC34GPDS4SbAnBGtCsBJgwcGYAH1c0ET4/rCg9vOaAKgDoPBDh4dvGuBkbkHqgwYfXHQQp02Rs9boNR9VF2TO20Mn+ixbT13+fOGq/Ckvp2QX5uUX5uXl5eVmF+YX5OcW5eUW5+ZOyM2dkJc7IT+nuDCneGJmwcTRqc9n5BfmTXgid9I/Xngvf8nmT8/1LNRTb7cHpzaFC5uxnE5mXA/6ezvxR1n09ua4REpKmuk7upn7O+MP1PQ9XXFttcqrBPAC4ADAC8CywHDJE/IpEI9PFIlENytJEKg4wCAL3RhMOVCbWtk6qx8W6uD7Pm61hf/Bz21yU3t1iX1qosyASszcXjOqtKNDdnTIxh53oGo3nBngT9nIM3b64gB73SfU+aHe++9+dEeEniifjEdy8mEiwEqAKc7YMOQiOB8NQRZCCMIshFnwk8wgxQao5EIWBBjwM+BlwIULTgIcJNhIsOJgTEByFUsxyKlCoI6APAQdPqFpgJO5OZmXb/IJ9S7qkjF0xRzuCKIWH7HtQuP7C1f/LS336czcMVk54zKyM3Kyi4sLJxYVFubmFOXkFObmFeYUFOYUFOYUFeYUFWUXT8gqmpKaNylr/NjUgr9mT8qdveqbq8qFWuL97uircnpSF5PVSo5tIUZ3oSd7ub+0JG656pPIEpJW+m6lcE9n7LbDHc+c73vnuqoJwAWQgF/7wbLAcQiAFfshEoluWhIMwAcwCHCgP/50SXXBOd1iGyxSwzI1vUpPrXRQG+zEPi1V3s9sNaNSG1fu4CstTKWZqrLQx+zsSSd32omqHfRZB3PJjWr9UOeHOg+qc7MyL2oN8D1RvjfCysOsMsol+2HEwYRxlgRyEoKXAT8DAQZCDMQQYDwkBMB4iCEIsXyQFgZp3keDlwEvDS4SbDhYCTAnQB9FmiCjCqN+HORx6A5DZxjaAnyji6614XU2rCcIbW66w0W0msOHrnbOXLY5+9m3H34m++m0zMz83LSszNTMjKLxheOL8wuyM8bnZE7MySpKTy3OSJuSnzc5Lz8/LTsvPW9i/qTJeVOeeiLzscwpL89fv+Bi7yL54CfdkWnt0WcVXEE3l97BjuvixvbC493cX5pjIxpCkpaEpC5wjxqGNwZGXbU9fEGTdby5Mg5WAD8DXPKeeY4BxAri4pVIJLqZSXAANw8WgDVt3tE7615uCX9vguUaWKki1ugTa2z0RhuzT8Me6GdLLWypjalwCskDEw9bmON29pSLP+vkzjqYc3bmipurH4RGPzR4uXoPavJx7UHht36ooqwOEww4mBO8GWNtGBog+RuTj9/1gwDA4deEMBCkheQUJATgJsESQ8Yoa44L5gSYMTDg0OIj2kKoPcy1hfjmQbbZxzR76NYBSo9Bpz1+qk6+bMPuSS+8/7dHUp98Onvq1JenTJlUVJw7LmX02HFjCgryisfnF2RnFGSkFqSOnpg5dkrWuElZKUUZ6fmZ2fm5RQUFU58cXfBM/stvzF2/+mLPmh7/Rw3WV5sHP7LAFCXk90J6J5/SBWN74Yke9EBz/I76wC2tMUlj8D4t3NGC3VHnu++i6bFjrevdrBEgkDy8nWdBYARgAUC8TlAkEt28JDSAS4A2AT6o6Uup7PrcBPP7Ya0OVqrja/XYDxZ2i5nbqxH2arhSC1tqpypd/CErOmxhjljZk07u9IBQ4+JrnOx5B3vVwzcEQDoIjT6+wcs1+/mOEMgjvDxMK8P0f/TDnuAGSN7P3OhHGAlxDhLCjRv6kgmJcJDcCPEzEBRu9MMQYSwY2HAwYUJ/FLUFSTkFKgZag2ydI9bsJVVxMBFwvl2/eMOuwqlvPTUmPz21qCBrYl5KbubTKZljny7MSZswPr+wMD81PW302DHZ6SnPTygqSh87KXPMlIwx49NHF2dnFOYXZOYUP5Fa+McnC99YULa5Xr9FEfy2beCjVt/bPYlpCva5PijsgawOPrWLHyeHJ3vQX1uxkY2Dt7WGJU2hB3Xwxy5+RGPkjou2ew61fi739QOEIdkPRgBKAATJP4pEItHNScIBeAHOEJBXKcs4qZnvhTm97HoDrFRH1+mwDSZ2qxF2a2CXViix0qV2otLFH7Zxhy3MURs66eTODECNiz/nQhec6JpXkAVAFoDkFYEtg0JHSPhdPxgdxhtx3owjM8Y6cOSm+AAjhBCEkfAf/SABEgLEOQgjIbmR7iZ4NyW4SHDgYE2ABQNNiO72xLQU9Ma4Vj/eGSD1FGgxqG7Xrvrl0MTXP03Nf/bxp7NSnsmdkDfxucIpU7MLxqelFaWPy0odnZOdXlBUmF1QnJVflJWdm/bM2CkF2ePTRxemPDE+O2V8QX5WbtFT6YX3p06Y+PW676t7duqp5T2hT6SOT+XYu33MRFn4JQVM6hZyO1BmF5cq55/qZf/aGhvZ6Lu1eVDSFPqbFu6Xw3AZeesl1+2Hu6Ze1XTcOM4dBIbggEbA8jzPI3ECIhKJblYSECAAsDMIj+2rzzvnWuSBbzrxn0zCyv7QOl2sVM/t0MFOLWzXQ4mNLLPjVc7/X/2QeflWv9AZ/K0f1H/0w55gB0guwAhBFkIsH2UFjBPw3/UjuYT1Wz+cGOtlwMuCPcEZo6w5zhmjXH+QajZ5NRHkRKCPcJd7TT/sPfbSR7P+Nq7gb6Ozx+VMKJ74/KQJU3PSMtKefCp/3Ljniwom5mQV5GQWj5+YWTDxsXE5z+RMzJnwXEpG9viC/ILMcYVZzxQXZI/LyP772Kyxk14b/8XyH2T2Rc3eJYr4CpPwdT/1erPvldbQBxp4tQc928EUtZI57XR6L/dkD/PX1tjtUt+tUs+t0sG/KeBBOQxtZiVXB0ec1qSc7L5K3OgHS2EIaAZYhBAgcQNdJBLdrCTAQQBgiTn2YLl0Um10rhXm9TI/6JkVmsCPusgODbdLA9t1UGaEEhu5zYZVubjk+tVRC3vKwVW7hHMu/ryDveBgr7l56SDI/CDz8lIP1+Ljf98PdYTRY8iI85YEssZpO8YM4MhPcUFaCNNchOFjLIdxAglAACR4iCM+ygoR5sazvB6SH2TBTYIxTBpClJ0AFw2OBDjj4I6D0hLafeTS6x/PeTSt+KGnc0ZnTsge/3xabnFqZk5WVlZxfs6k/Jzx2Wn5aWOLszPSUlJTswqezh4/Ov+FaR/NfufzuWkFU8alZ+XkZBWPz8/Ky31odOpDGRNenrNm5bme1fLEfCU9T4Pm6IWP5YlXmvyvt0c+1cCbneRLrcSEJiyvlcjsZp7qov7cEhnR6L1N6h7S6HugAx7shlukSHI9dudlx6OH2g65+BCAAMCQUQZoGljEsMCL/RCJRDcrCSAYBPig3XT/kY6X27hv9bBcB6vU+AqNf702tFst7FPDNj1sMUOJjfzZhlU50GELe9hEHzEzJ2zsaSdf4+TO2ZnzdubqANfoB6kPpB6u0Y2avVxHgFdEeGWY7gv9Zz+sMcqVYH0kClB8iEIhCkUZFEc8xnIYy0UZNkIzYZoN01zydXQvJfhocGCcIURY45yHAQvGK53hwSgcPXbtnfdnpmVOHZs+KTV7SlresxkFzz42JmNsZk52fkFeQW5uXkZeXkpxYeqEosznp0we+0z62MzxL7z/9Yrtx2s6bWt3Hb/74WeeSMnOLijOGz9+dFbO00XPPj9j0bIj9TvU8ekN3jkmmGuH93qwV5r87/VgHyvIN1vC77RjL8uik6XRwmYss4N4spO8rzk8rN59e8vgCOngX5q4v7aDpJaVXE/8sSH4YFVLmTLo50EAoIkIDTQNLEPRYj9EItHNSwIC2AGmXlH99bjy7V74TgPrbbBMGVmmCf2oje3s5/b2w1YDbPq1H5V2tsrMHDRRh030cTt7ysGdcaAzdvq8nbriQg0+aPTxjW7UMMA2eVD7IK+I8H0hui9EqyOMHuPNCd6C8dY4a4mSTozxEtwgyQVJLkiyYZqLMUKUYqMUG6aYIEkPUmyARoM072eF5Im8jjhjj9E+GoIM9DtDV2Tdn302uzj/+ccfSXlmTG5e3tTs7Emp6cUZORNyCiel5xc9k501Nis9Iy8rszg7PS/tyfSxf3l8zNR3/7X54PnTHZbzSl+TnSo90fBI9nOPZU5MLX7uydwJD2YWF3zy7aJjtVt7/St6Qt8qmX+puH/189O1wkdq+p2e+Dtd2Afd+Nut2DRpZFJjJL8pntFOPtFB3NMUGVLnubs9MlIWvldG/7kVJNdIyfXEH5sSf6rsXto5aE4uzRExBCQCmqZZMR4ikejmJQkDNDHwTGXv6HO+T1TCIiMs64+v0WJLVIm1Wma7Du02CKVm2GjmSyzEz5Z4pRMdtLGHbOwRB3fi1+evzrnQWQt+ycHUewXZIMi8vMzNtni5Dh+nikBfAMl9tHKQ1kcEMwYWDKwxwYEJToxzY7wnwfkJIUBBiIEoC2FcCCX4ECGEGIgKEBLAy4AdZ7xIsMbwftcgARAh+Mbmnh9/LHvs0TEpz6RnpGVmpmelp2blZOVPKJ5cVDgpMys/JT1vXFZBWuGElOKJj2XnP5Ca8WhBQcorby6oOHtI7T9pjJ61JCp7nScUA1Uy7VOT33s4+6VH8l97sOC1tI8Xfne6ZaeTWWsmP5U5ZnXHvlOj7/TCFyr6vR7snZ7EO73kW73Ua53UZBlW0BDPa6czeoXHuph7mmLDG0JD64K3S6P3dVB3t5CS2vgQKXlHA3X3MfPrdR4pQBiAAxogwaOoAEBxYkFEItHNSuIGuErC6APqsTXhT/vYRUZ6uTa6Rost7qNXa1CZnt5hYksssNGMysw3+lHlQAdt7EEbe8zOnnLxZwb48wPcWRuR7IfULzR5+CYPavFy7V7UF4S+QV45yPYFkDYkGGNgjoMtDs4EOBPgSvCehODD+UESAhSEKYgSECUgTEGIgQACHwdOhreRtNoXiAMkAJq7lHMXLEtNyRr3RFp2SnbquJT8vKziooLc7JzM1LSMtMyM9JzUtOzcoslZxVPHFU15JKvw/syitFff/aZkx77Wvt1K79kIHB3gjjnIcpXvhD54QjEwafqSP2e9fE/Waxn/XLroTM9up7BEHf6s07PIzs/ujixQUfM06Esl+UFP7O2exFty8nU5M62LmdCUyJUmsttRuhwe60J/bMKGN4RvqwsPl8bv7SRGtcUlteEhUvKOenrkccfkOv95AB8AAgb4BDAxDoAQxH6IRKKblcQJcCYCT+xRjDsf/UTJLNSTK3Tx1TpsiYpZreFLdcx2I7PFLGyycGVmYps5VulEVQ6uyspUWZkjVvqEA50Z4C+4+Ro7ecnB1Lq5Rh/f5OGbPHyyH71+XjHI9QWFviCnDvG6MG+KCdYE2LEb/RjABU+C8+K8jxD8hBClIEpBmIUADW5KcJLITiEHzYYBGpSqFRu2FD/7Qmpadsoz6alPpDw7/tmUZ8alp6dmZmampaWlp2bkZBcUFEzOK3o2q/i5B59Ov+fxlKyX3/2udE9Vc+8lk+eCI3rODxdjUG4iy43xvSr/IV3wqMb/wbo9Q0ZPKfhi5YIjzbvV2C4nLOuPf9ETmKMj5/TEF6iouf3s50rig57YO734m3LqtV72pU52QhORJ8Oz21FaLzzaySb7MaQ+MkKG3dtJ3NUak1wP3dZIJPtReMlZjX7XDzbOiedfiUSim5nEAXDYTf7jl+70y4lPlMxcbWK5Lr5ahy9Vs6s1/BYNVaant5hho0UosRDbzLFyB6q0oyorU2mhqyz0URtT7eIueOCcnbnoZK4PoHo3L/VwyX60edguDyv3I1UIVCFQBQRVkNNHhOQLHL8lxJXg3RhyY8iN8b4EBEgYpMBN8DaMscZpG8m6Ga6k6mDeSy8/lpL2xJhxOdkFz016NmdcRlFmXmZ6RlpGelp6ZkZmdm5eUU7+xNSc8U+mFdz/ZHrui+/MXFO253LLJa271hm74orW2BNHLexBG7+jL7xbj+3WhvZo/fvVvtlVlx9585tFJ1sPm5gSeXhZV2CVgZ1nYKZ3Br/txRb0Md+q2Oly/P2ueLIfr8rZFzqZ8U1ErgzPbkepPcLDHfTdTfH/r37cecKZWW08Tv6uHwjjAGixHyKR6KYlcQDst0T+vqMzu47+SIm+VWMr9NgqbWKJBq3q5zb3k6U6arPpRj+2mqL7bUy5ja20/GxuvQAAIABJREFUo0oLXWmmDluoUw72vBvOO9gLDvqyi7k+gKQeTublm71Ci5drczM9Pk4ZhL4wKAO8KshpIrwpDqaYYI0JNox3JnhngndinCOOHHHkjHIDccGFgT2OzFHSGCPtFPIiYe3OXQ+OGfd0Rtbk519KT8/MTk3PTUkvyMopLCzOLx6fVzQhI7dwTGr24+OynswsGlPw/PSF67aevNbsTChxuO7Cj6jcRzT+M06m0kDu1zM71PG9FmqXhfjFEN5tjK5vN31b3bal071LT2zR4Gv6ifnK+DfKxAIjfNdLzO2jZ/XRn/Rg73bH35KTryuoV3qZ59qp8U1EXhOV1YHGdfN/b6dGyWLDpJGhDdERMuyeDvzOlqjkWvC2RmJkA3PXSdfYI6pDcfAAcMCK/RCJRP8HSFwAv+j9D/3cXtgkfNzHzVLFVhoSyzXYUq2wQsNtUOFbNMTGX/tRaoztNBMHrEyFHSUTUmWhj9vZMwP8ORf6LSH1br7JJzT5hCYPanUznT7UExCUQVAGQRUCdVjQRgVdmDdGeXNcsCcEe0JwYJw9jmwxzhLhrFHeGuUtMWSKM2aMtpOcmxH8CN7/+uvHxqWmZmePG5c6saj45SlTc9Mzs/IK0/IKx6TnPjI67W9PpWVOeunz79eWHbnQ5ow2ObBaO3bZTlxxo0te/riV2KcOH7NBlQV2G+jtRmKrOVFqjm+1Jn5xUGW66EZlcHWnf50K+9HEz5NjX3ZGvzfAtwpybh/9dR/1cXf87e5Ysh/TeugpbWRhE57TTGV18GO6hQdaqTtl8WHSyLBG7PamxD0d+MjmiORq4NYGPNmPJyp6KsJiP0Qi0f8dEhfAzxrfQz93TOiAj9XC18rYSgOxrD++TAcr+oWf+ojN/fgGo7DJCsl+bDPE91qYCidX5eQrbEylhT5qY0650Dk3V+Nkz9upS066zsNLfSD1C1IPl1zF6vBxPQFBEQZ1FFQR6AtyqiCrDbGGKG/BwJoAe0KwYbw1ztkxMMfBFBPMccGCCzZKsJOcg2DtGLmtqmr8Cy+lZGVlZ+fmZWWPz84Z/cSTz6RnP56a/VRWUeGLb374zffr9xy73GvS49DoxBvdzGUXc9KMHTUTxx3oqBMdtLBHbFBlgV0GdosW22KhNtnJH4yxEhezShlYr0usVIQWdgaWqclFGnZmb2JmL/GdkvpORX+lID7oir7VE3tLQb2mYKb1sJPayIJmMqeFzujkn+7i728lR0pjw2TR/7Yfo04N/GNfx4Hg7/rBxsV+iESim5rEBbBV7XlwR+fkbvhYLcxQRJcbiaVqbJkelmuEH/vwjWriJxNstMEWC1VqjJdp47vMdKULqgaECjs6YKGSF4GcdQtnnEyNjb7oZK65+eSLhA1ersUHzR7U4uU6AoIiAqoYKCMgD3CKQVYdQtqoYIqDJXHjSCtzXHBQN673MOFgpcFBg40SzBjtR9Dv8nw0Y+Y/Ro/NzMrJyMgqzi8oLJgwNqfoqbyJU9/59Ifdh2S6AR0G3QHmqil80RK75GLOudAxC1lloQ87+Cq7sM/IVhqFcqOwy8SXGKmffVDmhxWG+ForuUIXW6NPrFAnVuroVSb4VkF+1YXN08O3fdScPuYLBflBV/zNrvgbSupVJfNiLzuhncxvJrNamfRO/qlO4b4W4g5ZbJgsPlya+G/78fCetv2B/+yHuH8uEoluXhIHwHZd8E9bWgqbYYYFZqmwBX3RNWZ2sQaWqoUfleSmfnKDGTbZYYuFKjHFt2hjO0zkfgdf6eIr7KjcSldZ6CNWusYDNQPonJ05ZyMv2KgrA2zyXRCph5O5OZmba/KgVh/fGQR5BJQR6A3yyhCnCqP+MKuJIH2EM0R5fVywMmChwUSCkQAdxuvirC5C68KEdjDmo6Gy+kJqXvFTqRkF4yc9/Mjjjz2d8sK7n67bdVCqdalDTLcXb7BFLxmDp3WDFxzUGSdz0skecXAHbfwBK9prRnuN3GE77DcK23T0ZiO90Y5+cLKrbNQyU2KZAV+qSSxV40v7ySU6boGWm6mkvujG5qrQbCU9XY5/0I290YO90ktMU7DTlDChjS5ooXLaUXoPPNbB3d0Qu60uPEQWGyZL3N3B3NOBD28M3NoQG9HCjqgl7zzhfHhP23+Zf9BRcf4hEoluahIbwA596L6S1sJmmGGGmWpsXl9khY5eooWlauEHBfGTmlxvgPVW2GRlSk14qR7fYaL32NF+B1/u4MttbJWVOWhlqt1Q7bpxEcgFB33Fha57+QYfNHqh0cff2FH3Q9sgdIVAHoHeMMhDQl+YV4WRKoxUYaY/zKojrDrK98V4dZRXRbi+CKMK06oQ1R8kOmxeDwMaT/hf85aMevAfj4xNf+PD6au27LjUoe10xXVx6B5EDbb4dTtW72NrA1AzwJwe4I65uMMOvsLO77fy+yzCPotQaYV9Bv5nPbPFxGy0ox+caKWVXKJPfNsTWKLGl2vpxSry215sVm/i6z7q6z5qbj83U0F/0oO/2514o5d4VU6+JGeek3Pj2+m8ViarjU3tgn90oFGNsVvrw0NksRHNxN0dzB/asGENg7fUR4c3MyNqybtOuv6+u/W/zD/EfohEopucxALwiyH6562dec3whQlmqvC5yvBiVWKRDpaqhXVy/Mc+fJ2W/8EMm6xMqZXcaqK2majtFma3jS138JUOrsLGVJip4w500smecTI1TvaCi7k8gK64uWtuvsEHDT5o8AiNPl7qF1oGhbZB6AgIPRGQR0AeEpQhThFEiiCjDDLyAN0dYLoCTE+Q7gnSvSFGmTz7PUxroqwmRHsQHLrS9PInX89a8dP55l65M6QcZFVh6Arw16yx8/rQeVvivJM6aU2c8XAn3NwRF6p0cOU2br8NHbAJB2xwwCzsMXBbDUyJmd3kEH60cyvN1DItvqw/sdbErTFwi/qIOT3xOSpipob+Ukl+q+G+kpP/7Iy/1RV/XUG+1se+IKcnd9HFbVReK5PZzj3Twf+tlb6rMXZbQ+RWGXZHK3V3BzOqJTakziepiwxrokfUknefdv9nP5iY2A+RSHRTk5gAdlqwv27vyZHBdD183U98pwjNlUcWaWGxWlijwH9QJlZr0Fojv8nCltmon23sVhO11UhutzD7HXylCyrsaL+ZPGSjj9nZUw62ZgCdH+AuDrCXXOxFJ1PrhfobQ2j0gtQvNPuhxcd3hqErBD0h6A3yvUFeEUSKIOoNMT0h1BvmeiOsPIqUUU4Z5ZLTEScPzbaQOsJ1OCPV7dpud9xOgjKAZHa80UnVO+grduKah6sLwoVB4biTOuUVjnu4Qy5U4WAPWJkDVqbcxlXYYY+R2WVgtxmZUgvabOd+sqI1Omq5ClurZdZp2GVy4ruO8Le92Fw9O0tPf9Ybm61B/+rF322PvNkZe0NJvapCz/dSxe14YRuZ28pktKGnWtEDTeRIKXZbY/xWGXZXBzuqnR4pC99W65XURYbKqOHXiT9Ue/7b/XNx/0MkEt28JCaAvQ7yoZ2KjAbhIy3M1NBzldHZXYGF/bBYDWsUxDoFtlLNrNajjWamzEZtt6MyM1NqILaZqD12dMB5Yxe9ykIesdIn7cxZF3vOhc650Hknfd5OXfXANTd/3SPU+oQbpyv6eJkXtQX4jgDfEeC7g1xPiJeHOUWEV0R4ZZyXx/nemNAbExRRQREV5BFeEeF7g3yTA+sJcB1eusvPKcLQYIvX2bAWHzR44LKdPmNOVNuIGg9/fhCq/XDcwx12s1UuttxOHbDR5Va63MpU2NidBmKHgdpqokot7BYL+5OR+aGfXKPA1snxHxTkym58YUd0VmfoK3nki/74F+rEDBX9WTf2Tlv4jc7Y633UK2o0pZsqaMbym8nsNja1jX20ib5PmhgpxYbKErc0YXd3cXe2kiMaArfVem+pjw6RksOu4X+o9jx9UFEVBe9/7Qcp9kMkEt20JBaACg/62x5Vai16XwWztMxcVfybzsBcFbdQxa9VkmuVxEo1Wqnn1puoEhu51cZttbBlRnKridppYffaUPKN9AozddhCHbNRpxzsWQdT42TPOagaO3nJxV0e4K8OcNc9Qr0XGnzQ4OUavFyTj2vxozY/ah/kfkuIPMJ3R9juCNsVRp0htivAdA6yHX6mw49kTrzNz7X6+MvGaJMHNbqZ0yp/WxhqncI1J3/BzlXbqJMW6qiVPGynDjmoKidV6aQqHHSlnS63khUWosJC7DeTOw2J7UZiq4kqNZGbDOQGHbFBRa6XJ7aquRIV2twv/KDl58mxT9t9nynDs63853L8407snfbYm12J1xTUS0p6UieR1xzPaSay29iUVubvDfg99bE7GuNDmvFkP+5oxofV+YfU+W5rjA+RkkOuYKNODaSf0h8jwCfOP0Qi0f8VEjvA4QA8vK9/3DXmHQU/S8ss0ODfdAbmKJgFfdxaJfmDilrVz63QoR8MxGYLXmpht1rYbWZ2q4nabqR2mqgDdvaQS6gwU4fM5FErecJGV9uoM3a6xkafszM1Nvq8g708wF/18LVeqPNDvZdr8HIyL5J5mSYv3exjWv10q5/u8DMdfqptkGgNEK1+ssVHNHvJJg8hGyBlA1Srj5e5uQYXd84Ql/qgPQZXHVxbHC7Y0CWncM0H10NwNQznAnDCyx/xoP3WxAEbXmEnKh1klY2oNCcqDLF9hvgOI7bNlCgz4SV6fJMO36DGNimIEjmx+Irzk/LOd/a1zrpm/16JzeyLfqYOf21mP+6KftQRf68Te7OXeFVOPt9Lje9I5DXHs5vw7DY2pQU9VIfdfT18R2N8aAtxiwwf1YlGyLChtb5hDYPDmvChMurWS7E7TzgLLjqS51+J/RCJRP83SNwA1QF48oDimavYG3KYoYOFWnp2V/AbOT5fSa9SUz+omdVqYbWGX6fHfzJhJWZmmxVts6KtJqZMT203Ugfs3GE3lFuZKgt92EIdtZLHrdRpO3XGTp91MGetVI2NvuhEVz1w3Qd1PqjzQ4OPb/ByDV5W6qGlHlrqJqVuUjZASt1kk5ds8pIyDyHzUFI3KXVTUjclHWCkHu6yCW8OQIMPrrhQQxDO25lqM3XBCact7DEjedRMHbXSh+3MERc64ub3mLB9FrzcTlXa6Uo7XWFJ7NfHd2sju4z4diNVaiA26on1msR6VbxEEf9ZHh8/f/ed46dLMt7LXbR3QfPACjP6Spv4UBl7vzPyQWfivW7yrV7q1R7m2U5yfBue0xLPaMEyOtnRbfRf6mIjr4dub0wMb2ZuleGjOsjbG4PDrvlH1EdHNKPbZOwtF6N3H7O+eMlWy0EQQAAWICEgjAPx+lqRSHQTk8QAOhmYcFr58HH92yb4WAuzeujvldjX3b7ZytD3/dRyNayVw1oFt0aLrTPFfjKRJWa21JLcBaHKDMQvZmaPlT3ohioHqrTQFSa8yogfsZGnXOisWzhjZ8/Y2XN2dN7BXnRxyeeyrrrRdS9f7xUafHyjX5AN8rJBXurnpH5ONsg3+5MDZIP/HvVeod4r1Pmhzg/XvPzlAXTBQZ+x09V2ttolVLuh2g2nBuCIg6uyMvvN5H4rVeFgq5x8hZPbYyZ/0WM7dImdOrzcAhu6QmUmYZMV5nUHNpjo7QbsqwOXnnzps5FPFt7xeOGDEz74eM+VrXaYqSI/7CPf6Iy90YO/1cu83Su83iU830YXSRNpjaHMbuLprsRDbZG7GgNDrweG1yfuaoE/9cCo1uDw6/ZRVyOj6pHkOi+pRbddjt9T1Tf9okErAAHAcAkGcBoYngPg/7d//yKRSPQ/JaEANBy8fF7+98O9L6ngAx3M6uXn98Zn9ri/UfnnqqklfcIPvbBezq/WYasMsR/1xCYjW2rhSy2o1MiUGemfTewuKyp3QbkDHbAyByxUhZk6ZKNPOLnTA9xZJ1fj5M65+AtO/oITXXCiSy7ukou96rmxqX5jOuLjG3x8vZdr9EJy3Hjw1wcNPqjzQ61PuOblr7jR5QH2kou54KLPO6kaJ33aiU4NCKcGhBNu4ZhLOOzgKmzsAQt9wMqUO1CFU9hn534xMz8byG16Yrue3GdGe838Diss6w4vaHHvsPE/NpsLZ62QPPTUlA++mDZ99l0pxY+/P3dJk3OZQZh2zfl6d/w1OfGWnHurB17tEJ5rQYVNeHpzPLWXeLQ7em/b4Aipb0hDaHgjdVcL3NsJt8tcI+osd18Jj7zCSa6DpAFGXI39paLn+3qLiwcGgOUxCkgCGBAnICKR6GYmoQHMAB/Vax/a31rUxHyohW+UMLsz/I1ycFbf4GxFYpGCW6eAn/pglTaxXBtdpyU26OnNJlRqQWUmtsxIbzMyO0z0XhvaZ6X3W+hyK11lZQ7a6SOOG+eanLtxRyF/zsXXONnzDva8g73kRpcH0BU3uurhrnv5617+moe75uHqPPzvR/Kr5LeXB9gLDqrGTpy14ecc5Hkndc7Nnh4QTrrghFM46uSPOLiDNrbCxlbY2HIbd8DO7bfyu8zsdiO1TU+UGYhtJmK7Fd9qim5U+Dd0evfrmXI19t76cskT2U+8/Nam8xdXnTr94CtvS3Kfn/Rj5aruyJyu2HtdkdcV+NtK9EYP92IbmtxEF7RQ2V1Uipx4uCs8qtkzvNE7XBa9vZkd2QJ3tvC31NuHNzruvBoddpGSXIfbZHD71dADld0beoM+AAYA8TEaSAJo4MV+iESim5iEBnACzO12/32PNO2C90MdzNbCjK7YLHX4677grN74gl56rRx+VMEKLbGkP7ZKjf+ooTYa0BYzV2rhy0xsmZEp01O/mJldZnqfmUk+Jpu8oPCQja52CdUu7qzzxqi5Mdjka4YXB9jLvx8u5soAe2WAveZikx9+++q3OccZB3HGQZx1kjUu6oybOeXij7mEo07+kB0l41FpRxV2dMDO7bGyv8WjVI+XGYgyM7HRHFyldKzusO8x4IcN7Jz9DU+/O/ePE99eWXPtoMG8qb1j+pFTT81ePvyVGa/suLreAP/sirylJN5S0C93MVOaqcImMr+DyZZzo3uJ+9uDdzQODGn0jGiOj2zn72iGoVJaUu8Y0eK9/VpUcgGT1MHQRmHkBe8/DnZWOLkAAALgAWOAJIAS+yESiW5qEgrAC7DJHB+zTzr6mO4DNXyjhy/l+Ex1bIYyNLMnNr+HWtXLre7jl/aT36vjK9TEmn7iBx29yciWmLkyE1tqoEu0xM8G8hcjucdM77fQFTa2wsZU2JgqK3PMio7b2RM29qQdnXJwZxzorJM762KrHXTyMd8LLubfw0FfdDIXncwlB5P88NtX5xxUjZM+52LOudlzbvasiz7jpE466RNO4YhTOGTnKu0oOe0ot3HlDn6PldtpYbcbmTI9VaojS/RkqYHabCJWGwJrDYMbtdEdBmb5dVve/N0Zs7bMPdNV2jewtsewqLVvlx+fVdc38sMlTyzYO0Pq+6g7/JYi9noP8UI7OaGZzG2hsztRRh882kPe2xIaVj8wpNE3ohW7o0MY0QyS+oSk0TWiMzSsLia5GLulgR9yjbjrtDnthPwCDgEABDxAAgFBcSTwAJzYD5FIdLOSkAIEAI6EofhIy9PlXW/Jhc/74fM+5kt1YkZf7Jue+LxufGk3tVzBLlJT3/cTy9TkShWxup/6Uc9sMnJbTKjEwG7RkWV66mcD+YuR3mOm91vYA1am3MZW2JgqC33ITB+2MEdtzHE7e8KBTjq500500s6cctBnnMxZF3vWxdY46RonfdZBnXfS5530eQeb/FnjpGuc7FkXXe2gz7romgFU40Vn3dxpN33CQR21U4fsqMrBJeccN9asbGivjd9pYX8202V6KlmOEgO9RU/9pCeWaULrbNRaA7lKTX7fGn73qOKfJ/s2m/hlPYPfd3nmdTk3ONEKPfnc4bZJFR0fNng/6g6/1R2a1hGe2hovbCOzO9jUHm60gnugA7u7OTi03j1EGri9jbi9A93WhCT1cUmTf1h37Jb6qORqbLgU3Vrj++PR/ueu6lsBggC0wALgPBAMIkEAAf1v//5FIpHof0rCAoQBGhG8c7Z3zL7ml9uw9+To4z7usz5yhhKbI08s6Eks6kos6iYX9DELNewyDbNCTSxX4av7iR8N7EYz2mRkN+rJEj1ZZrgxC9llpvdZ6QN2tsKOKsx0pYmuMjMHrcxhC3PESh+x0sdszAkHOulkTztRtYutdrHJiiSPz6pxsjVO7qyLPfvrz2oXW+3iTg+wp1zopJM+4WCOOcgjNvKglSq/cTAJX+EUKhywzy7ssXK7rPw2I1NqoEr01BY9VWpktpjQBh21VkMuU+LLdPzcfm62ARYOwDwHfKnmv5LT3ym4JX3CYiU/ozU2s4eeqYV35fRHOviwJ/xWu+f5Ju+E5lB+B5Xewz8t5x/uQfe2YHc0BYdK/UNl4RGt+LA2RiJjJPWYpGlQ0o1J6kOSOmxUC3vbcdP9B3umd3n7AIIABEcA4AAEYkkQgGX+t3//IpFI9D8lQQAxADXAjEuK1N31L0gDL3dR76r4j/qYr/qouQp8QU98QWd0Xjc2V4UWamGplluqIpb04SvUxFo9+5OJ22DiNhqYEgNdaqCSs5AdJnq3hdln58odqNzK/DYqzHSFmao0U5Vm4qgTHXNxJ138KTd3eoA7PcCeHuBOuVC1i/v9OD1wY5zxCKfc3HEnc8hGVlnwKgt+0EpU2ah9Zmq/DZXbodwF5S7Y6xB224QdFq7MSG/RU5t15GYjW2LmNpvQTzpqtYpc0ksv1sBCM8y2wnQzfKDhP1JxM7Uwq5uf1cosVcAXjYnP2qnpGpjcFHqnn/moZ/CdZvtzjY6iZn9ON52iEB6TC/d3s3c2x4fLIkNlwaFNkRGt+JAWSiIlJQ2YRBaUdMQkdYFbG2L3tZC3H+x7tKJ1iSZsAAgC4EwCAAee4hkSBKAZcfVKJBLdrCQcgJ9iBwC29w8+U3qm4LzxVRW8rOQ/6EMzVGiBilrYG/u2M/hNV3SOkluogwV9zBI1tUzDLFOTyYqs07EbzXyphS81Mpu1xCY1tkmNlWkT243ULjNd4RQq7PyNYeUqbGyVla2yMhVmqtJKHrRSh+3McQc67mSOO9BxBzpuZ5Pj2O/GEQd7yEYftNOHHExyVCWHi6t0wQEn7LPDLiu/w8SW6akSLblZS2yzcKUWfosJbTSg9Vp6TT+xSpVYrkys0cDcLmJuPzffCnOd8LWJ+6Q7MrOXmNdF/aiDWbXhea3kh9d9H3di7/Zi/9LTn3a4Pu1wvSR1FMi82Qp2tBL+3En/oYseKo0Mk0WHN0eHNceGNsUl0oSkAZc0YJLWhKQ1LqkPDJPF/3DF+9BJzZjd12p4MAGEABAwwCcAUcAjELc/RCLRzUwiAB9FKAhwxoU/W1mbeVI+Vc48r4I3e/npvfQ8Ofa9IvZdb/ibnvjXvfwsBcxXc4v72SUatEzDLFFTS1XEqn56nY7dZOQ2G9kSA1tqoEv0VJmeKtNT2/TEbgvabWH2WLn9NnTAzpU7+Ao7X+ng9prI/WbygIUqt5KVVrLy1yOqqixklYWsstDJn5VWsvLXn+VWstxKH7CR+63Ufiux30rts9J7bfwuK/+LGW1LbpUb6FIDXWJgSy38ZhP6Sces1ZCr1fhKVWKlilihJtbq+GVqcll/YmGPb36Xe7Hcu0oZ2Kwn5jdYlzT75ly1zZd5l/TGZnd4p53qfOey4vMG/cf1hmmN1gKZZ1wn/qQa7umkJZf9Q6TY0Kb48KbY8KbY0Kb4LdKEpDEhaUxImnFJMy6RhofLIvddsD9S1fHq6W4pgA0gkuwHlwCWAoQE8fErkUh0M5MIwLIgYAAKGr68rnq6vDGnLT5ZA9O6uI87qG+7o4vlkfmq6DfKxBfd6F8daK6K+76fWaxFi7XM4n56iZpYqiJWqIl1Onq9gd5i5sqs3Lbk8pGO2Nyf+HVFi91lZvdYuX3JhDiFvRZmn5nab6H3W6kDFmq/mdxrxPca8QozVWGmkitdFWb6gIU6kPw7Vma/jd5npfdZqb0Wao+Z2G0idpqoHSZ2m5Et09NbdOQWHblFz5QaUYlJ2Gzi1xvYNWpqRR++TIEt60usUJErtNRCZWidIb5Z7d/Yol1/sWXl4XNfbN49de7yZ6Z/N+brxd/Xdq/uNH55sn7yDzsf+eecUdM++fMnC59au//FK9oXFfHHmwL3tmCjulnJ9fCtTcRtTcRwaXy4ND5Uiv27H42EpImQNCdGNATuP617bGft6l6/GsAFEAXggQIuAQwFCIn3f4hEopuaBIAVgCcF8AJs0Pif2HP1qVpvsRZe6oIP26k5HaGFPYPfqUKzVPjnPfBphzBbgeb20Qv60UINu0jDLu6nl6ipJX34Kg21Tkf/ZEQlFr7MKpSZ2BIDvUVHbNERpTqyTE9tMzLbzWiXFe22cXttKDlu7JE40AE7c8BGH7DRFXZUYUfJ56l+G8m/s9+J9jnYPQ5mt5XaaSV3WslfzNTv5hx0iYHdbGQ36dFGA/pBR6/VUqv7qRVqYnkfsVRFLFOTyzTkSgu9oMvxSklF+j9nZr3wVvFzr+RMnHz3Y4//KS9vWH5Babd8WV3TPz764s6iFx6a+OotYwslKVMkr36VVV73khJ7ROobXj94l1y4tZ29pZm5TUYNlyZGNGBDG+K3NsQkDXFJIy5pYCRSRtJKjrjueeCoImX7pZODYAPwAcQACcl+0ASwLAKgALj/7X8BIpFI9D8jAaABEE1SEYBDgyjtsOyB85bMPpgmh486+G/aAnM7Br5R+r7uS3whh8+74aseZlZvYo6SnK+mF2rYxVomuReyQk2s7ifWaamfdNQmA7PFxJRa0FYzKjHQyf/fy4x0mZHeZqK2magdJnqnhd1lZfbY0T4Hu9+JDri4CmeyJXxyjSv5ITn2O/i9NrTHjnbb2F9szE4L/bOZ/NlMbjVRJXqq1Ih9JTOYAAAgAElEQVS2mvkyq1Bqhk1Gbr2WXaOmVqnJVRpqtYZZpWNXam+sti1Uk4sMaFaLM29R6UOT3njg8ZTHH31iQmFeSua4jBeefXzaC98dOpw9e54kI/+O7PFPTH798Wfffej1LyVTP/rT0t0F9bbH28N3tcaGd3ESKX5LMxomY25vJEbWYyPq40PqYxJpTNKASxo4SQO6pYUcdtH2j0NdLx5q7mTBBxAEwIABIAAlgLrRD0Lsh0gkumkl+8HyRAIHqBPgFanpD9Xax9vQiwr4sANmtQ7OabV/1e36lzz6hRJmKOHLLnZGd2JmNz5HSS7oR4u1aIkGLe2nkwlZqSJWq/EfNdQmA1Ni5sqsXJmJLTUypcYbD2iV6MkSPZl8G3yrkdxhInda6F02ao+NTo69FiY5dv9u7LIyO0zkNhOxzURsNeJlhkSpMVFiwLYY8FIjU2biyqxCmVXYYhZ+W7NarsJX9pMrtcwqA1qp55ZomIV9xHdK6rNWYqkOFlw1LTpc++G3S9Oy88ZPKMgpzP57yrjUV17L/Ofn9z37xtSF657/fv09+S+Nyn1xROHrkvw3R80ry71qeqorNqIxnNwqv7WFGyZjbq8nR9Ymbq+NDamPSRpjkkZC0gCSeu4WaWJYjemZYz3ftw6YASIAEYAE0AAJYBNAEsCyDAAOIL4BIhKJblISABIEGmgqIYAKYK6LG3mi/95rkSld8H4bn+zH9A7bx93B6T0wQwUz5MJXvfiM7sSs3sTcPvr7fmZxP7tETf3Wj1WqxDo18aOG2PDrRCQ5NhvpEgO9xUBuMZAlerJEj5fo8a1GfJuJ+NlM7jCR243EdiPxi5H8/dhhujG26RNlhkSZIVFiwH4bWwx4mYnbYuQ3G7iNOna9ll6rIZOTj+V9xAoVubyfWaZhlvbT36vI+YrEbDn7VS8ss8DiLrRFHv1s68H7cgofzc17Kj//T0+Me7Lw5dHPf/rOir1b6k1rr+lS5/x0z+szJLnT7vtgbtr2moJa699lPskVt6Q2ImkXbmkVhsnQyDryjuvYiOvRoXXhWxtiEil5ay3cWidI6mLDqnX5Z9THwuAGwAFiAASQv/aDAgbRwGNiP0Qi0U1LwgILwAKiaZaxAuwj4P5DXX867Shug1c7YHpn/IsO98cdzn+2+6d3wkw5fKOEmb3kV12Jmd34twp6nopZqGIX9lHLNMzyfmqlmlrdT63up9b0E2tV+FoVtsnIbv7dKEluVBipMiO91URtNVHJFa2tRrLMQGzV4TtM9A4T/YuRTn5Ijp/N9FYjWWYky4xkqYksM5JlZqrMTJWYmRILv8nI/aihVqkSK5X4ShWxRkOv06GVamqZml7SR36vxOcrEnMV2FwF/o2c/bwbvlbCRzJ8owPmXup65PUPx055Pr1oYuGUV/86pujJaV8trJZ/Vq34Sub6tMk2/sC1qTvOv3dG8eJ1++hL9ruuuSWNQUlT5JY24s4mcmQjOUSKSxrw22oTQ2vjw+tiw+vI22rhtmv80EuD9x5XvnKhTw4QBGAASOApoEFgADFAs8DyCHgKeHH9SiQS3aQk/6+9+46uskr/QL9JIIBgQwc7IiK9hl4FwQKo1FClJgZIACkB6U0UHVRw9M4oKCAIqKh0QsrpOb2lQug9IeXUt9fn/rGT14j4G+UOl9HZn7XXWeEkeXOSsN5vdnt2BIABGWQKFJoDyFVhkZ9+aLOlY5YwqACG+eE1e+U0X2i6PTBNH5nrhvm58FauMscrprjZVBc7x8PO97ILfQxe0busgF1ewCwvYJbl0yvy6JW50fdOSxtPie+dFDaeEt8vlj48o24+D59cgg+Lq7JEG9T68BT70Uluc7GwuVj65JS0ufjn9nGx9Ol5+McF2HJO/eic8tFp6e+nxfdP8RtP8euKuLUnhTVF/JoifnUBv6aAX53Prc4T1p9SVxUpy/KEhT5mniea6o6keKiZXia1EKb7YVKuNN0bmXbU03Tk1PZdew+M7zawe++n2nbt+fb7I457+prP9/EH+nsrnrfeGOOX+maEWhyLNM5ikC6McipjvIH7bDeaZpXee+AC8vDIJaJsroFBbnQ43OhQtE4WxGXITxwrfXTL4Y2FJZcBGIAoFVQUCQBUAFkCkZFUXgRVlCWWnAFCEMSfFAoAMAAAFPCVoAhhgB2XoPuXnme+u9rFBYNPwiu54lgXNc0eTrJQs3K4FJeY4hFSveIcrzjXJ83zCnO93FseZqGfT8vl0nKZt/PopfnMsgJmRSG7opBdVySsLxTWFwobCoX3TkobT8kfnJY3nVY+OCVtOiXgFPnotLD5jIjbJ6ehZttyBracgc1n4aPTyt+L5Q9OSe+fFDcWCe8W8e8WcOsK2ZVF3IoibmUhv7KQX12Am7i6QFyZJy7LE5b4uYU+Zp6PneNjUrx0ipdN9YrTPfx4v/CGLzr5qL/p8OnxHbu/1L7ToI6dmrbv0nP95lfMp9q5SlvnMZ1y6Xg308UpPZNJN06XGugUpI8ic3ld26XG2Sd7nrj45P5TyB1FHh7p+YZmeOwo/dhRGh1k0fflT+07+foRvwNwzUQRgAVVkjklElEkABaXLVFFUHmSHwRB/EmhEAAPAMBK0TJZEiIAFgmm60qe+sLT8mjZgFwYVgTDHPR4B5vokKcYotOtbKKDTXYLc3zSXL88zy/O9fFzvUyqm5rnic73RRf6I4vz6bcL2eWF3MpCfmUusyqPXZ3Prc3n1xVUtXcK2A2F3LuFzHtF7Pun+A+KhQ+LxY9OCx+fETefVmu2j8+oH59RPzyjvlvAbchnN+Sz6/OZ9fnMmnx6XR69Ko9aWcQtO8mvKBJXFIkrC3GTVxbKaW52kYdd6OMW+Lh5fmGOn5/t5+Z4+bk5wiwzN8UhJjmZxMN5zV9Piu/Y88V2Hfu3bd+sY4+B728dY7/SzR5s7+K62rgudu7RjNL7jpc+lCU8ZIG4HPpBd6SFpyQ++2S7zScab0pHmZeRNYJ0bB2Tes+xQMNDFY306n0/lDX5ypFqu1wMcFUWTp8rKPLZ8pz27775Vq93UBzIAKFQhKPCIJP8IAjizwpxADIoAKLERkVRjgKcBfj8KnTdaW+y3dsxq/LlInjRrb7qkCd7YJJVmJRDT7ZRM5zsmx5htk9O8Utz8N3ZRc92R+d4om95Iwv8VFoetTifXprPLPfTK3KZVfnC2kJhbaGwpoBbnc+u8tOr/PTaXGpdHr0+n3qngN5QQOM42VjAbSzgNuYL+PHdAu7dAmFDIbcuj12XR6/LY9fk06tzGW0/+cqTwrIicVmRuLxQWF4oLMsXl+eLS/OE+U7qLTf9loeZ6+NxeCT7mFkubq6Bm60TEnOkWXZm5qHC54a/2alTz4EdO/bu0OHp+F6DN+2Y4Krs4+Q6OiHeJLUxMo0M5fV0NxrqqNrHKtCefLTNgDbtRnM2Nhi9Ii5xM/o+H9kiyMghs4yOltc+cL3+d9fr/T/uYVlXdQDnAHYfP/zZZx9+vGHF9zu3f/DOu2lpK3v2Gbxk2dr8giIAKRIsI/lBEMSfFAKQZInDdzFOBAqgBMABMEt3ptXn+qd3F/T1wMBcGOiAEW6Y6IXxNm6ijX7Dzkx20NOcbJKPn50rpeZLs3xsipdO9dJzfNRcL56vjs73RZfmc8vz+ZWF8toieW2RvKZQWJXPrcpjV+Wxq3OZ1bnM6jxqdR61NreqrfMz6/zMOj+7NpdZW/24OpdZm8+vKeDWFFQ9ripgV+VzKwq45SelZaeUpSfltwvExXl8Wq6Q5uUW+ri5LmaOh53j5VJ9/CwvN8NDT3VHp9voFKMwSy/NsKqzHPzMIwXPjkpq261Hr66duveIf6x7775/3znGEejpUto7oY1efTyDqm0sQebrdfQB9NMl9EUO2vQDWvABemlaXOdJDUesavhtbi0XjSw8ypFRdvierEDb7EiTz3KWFDBmgAX/+NfrExKO/PAN0JXAMbjc1dp3Pny6WesBg182GvVVB0oRBEH8CSFQWJmjFAVkAFqCCh6CAFcBdl1lXt/vevILe7ssqo8fejjgBSck5MFYlzTewY63M+Ns1CQ7M8XNJvrEN3PF2bnC7Dx+tp9L9TGpXjrVG03xRFLdkcV5/JJ8YVm+vLxAWlEo41GmFQXCmkJpTaGwplBYXcjhTglua/K4NXncmjwBP+LJ8NX5HM6eNYXSykJ+ZaG4ooBbXii8XcC/XSSlFYqLCqRFucJCPz/fy77l4ea52blebo6Xn+Xl3vQw093MZBc1wRmZaKVm2MSpZuENu5TooGccyWsyevpzPXrE9+wQ36/bQ716d/3gq2HW8o52oZkDntCpDTMoZChBtrJ6drphduD+YxdbHCvqvO1Qy5QND3Uc9/jrqx7Z66tji6CsKNLxKCv8gD7cYFPmsG/zdAA/nA/2HjX23Y3rucoSkGgQeJmib1yvVBSYu3DJk88079u/z9nzZ+72fwCCIIjbhECigI0qKggAURFoBXiAEEA+wDu+q112eZt+e6WzDeLd0N0KL3lgpFse4+ITnHyCix3rZCe42EkubpKLSc6TkvOF5Fx+Vi43y8fO8tGzPdRsDzXPx873svO9/AIft8jPL87jq8ovFkjLC4UVBcKKgl/Mfq/JF9fki2vy5dUF4uoCeXUBns8QVxUpK4rE5QXSsgJ+Sb6wOI9Ny+UW5rJv+bl5udw8vzDPx+M218PP8fKpPn6WV0j0clPc9EQnPd5JJTijY5z0OJ8w0sWNcHMTnKGJhzyPjpr8dM+u7Xu1bf98lwf69un84fZB1tKnzOGGOWKcUUBGBnkZlMs2cMsNsoMPpl9un3Gmy5eHms1Y8Xj8+CdfW/rI1444UyXKCKMsHh0J3H/oStcdzq2XoRhg0qoPGj31tM9tA4kGOgjhAMgKKKAC/OvLHc+1bft40yb/+vJzUv+KIIg/KQR8GHhGUYBSICyCAAAghrlQAOBAGfPajwVPfVnQRq929ULHHLWXVXzVo4x0i6O9coJPGuMVx7jZ0Q56lDUyPV+ekS++mSu+mccn5/LJudxMPzvLx872MLNd9GwXM9tFz/Gw83zsgjxpUYG00M8vzGXTcrnFeeySfGFpoYDnwJfni8vzxeV58vJ8cVm+vCxffLsAV/xV3i4QF+dLi/K4+bn8PB8918ukeulZbnqWm5ntYVO8XKqPx7P6qbnyLK+U6BGmuNkJLnaskxnjZkZ5mBE+dlgh/5KfesUTTbCXjf/J3nj4xKe6x7fr2a5Nn84P9uvb4+OvX7Bc/Vt2GdJFkIVBDh7ZIshOx5qF2umhB7JK462lvb/TtZi3oXH8hMdeffvRXc4HbVQDs3yPEdCBige/Lnoz47wxCtcAxqWmtWjT9lx+LkSDwEZB4vlgACS5vCJ06tzFzr17PdH8mdlvpZL8IAjiTwoBFwaRUxRgAVi8FktlAKIRlbkMsKEg2voLZ7PvS7q5oZsLulmFfjn0y3b2Na88wqcO98ivO7jhDmaUkx7jZMa52MkebqqfS8wVEv1sopeZ4aFn+fnZPn62T5zt41O8XIqXxY/z/MK8XO4tP/eWn8GPC/zMAj+zyM8v8vOLfOIiP7/QLy708/Nzxfm5/MJ8eUGeMD9Pmp8vzMsT5+Zyc3OFublCspuZ6eFT/FJqrpyaK8/2yclecYabT/RIU93CRDeX4GJHupiRHnakn3+tgB9xWX2hINg969wY89VROzKeGjapaYeOvft1b9Olw2O9n++w/B+9DxY+fPgy0gfrFKrIRaMcBpl4lCHEZUtx6WVPZF2MP2hrPG/Dg/2mPTh86UNf2+81VsQdDDQ6yjz8Q6DVV/kHKuE6wA0ZVmzY1LzZs++tWAZ0BBgKBIEuLwMVaJp1eLzxfXq3ju84cdoUBdRbutv/MQiCIP4NBHwUREHLDxEAFAqUMC+GggDZPIw/duGJz5ytjlT29UMXK9/Xxj1vYwbZ+Zdc4jCvOtyvDvdJI9zccAcz2kEnOOgJLvoNNzvVzyXmSm/misl+Obn6cZZfnOUXZ+dKs3OFWV5ulo9N8bJ4Wwaee0/10nM87Bw3h1uqp6qleLk5fmGOX0ipbrNzq1qyl3/TJyX75WS/nOSVZ7jFaU5+sp2baGPGO9gEJz/aI4z0icNzxddy5SEFXIvsor6+6696Qsk+asJ2w3PDZrTo1Kt37759B774ePfBHeZvGXb8Ult9pHbGDZRTiYxlyMwivYJOQG0doIxQI/21VkfdDRe+j7qMbTxpw4M7LPeeuPrkichD2y8+/s/ChR71DAAFwAP8ePBYz/iu3dq2+ey9d/0mo+HQQVt2Fh0MAoDebOret3fT1i3mLF5I8oMgiD8pBAIDoiipNfJDZUCJgkzzAFcAvi6B7l/mPPmFvbsl0t3B9XEKPa1ULwvd38a+5FVey4PX8+B1rzjCK410caOc9Ch7NMFBT3QzU7ziNL84wyfP8ItJfiXJL72ZKyfnKbPy1Fn58kyfMNPHzfRxM/0szpJZPnaWl5vt5lPc/OzqNtNT1XD2zPKLybnizDwJt+Q8JckvJfmVGV5pukec6hTecHCT7Ox4GzfWxo5xcKM90kif/LpPGuITBrv5AZ5wF+uFYUWhl7KvDNzu6jxva+Oek1p0frFbj5e69hn2UMeXH09Y02mLueme8w8cv9HAEUQ5QWRga2UDSocYHaAsuoGprOmJ3Nglm1DPSQ0SVjbeZWliLHnm+0tN/+F7ff+1LBEqABhRVQEEXtn++Zcv9Oob36r10AEDN7+7QWEoUCWeY1avXdW6Y/uWndr/cOwwyQ+CIP6kEIgiyLKiAg/AVeWHAAoDCs8wTATgHMC6vMoOW/XN9nq7WiM9nXwPB9fDyvS0sf0dwiC39JJXHuIRR+bBKL8y2iOMdjGjHfRoB5XgoMc56EkefrJHmOKVpvqkaX450a8k5apv5ivJeUpynpScJ83ME7Q2O1ea7ZNxm+X/uSX75Vl56sx8NTlPSc5T3syVE3OlxFwp0a/M8MnTvfJUtzjZyb/h4CbY+Ql2fqyTH+9REnzKSJ/8mld+yc0/76B7W8Pdc8r7+8oGOq7/7e/H0PhN6IXFcT1mPNFvwmPdhv2t5+v1ek1Ag9PQ8PfR7N21vz75kC2Isq/V1jG1swAdh5hsQNlsPVPgqROFMUs21x0yBw1MenqPuZP1+iMfZwzbV7yvHM4ChEVgKFrkBVABFIhURosLTp3KK2DDYVAlno5cvXJh/MSEJ555asSEMeVUmOQHQRB/UghkAAUUFURcyR1AARUUGWQJeI4XpCCADyAl59zTW7Oe/rEoPofq5hR6ueUeTr6bhepmDvex0i84+WE++TWvOMIrjfIKOEVG2amRtuhYJzvewU5wChNd/BsecYpXnOqTpvqkRL+CMyDJL2jtTb+Q7Jdn+dRZPjXZryb71Tdzq1pyHiTlqol+ZapPmuIV33Dzk1zcRCc72SO+4ZImOcWJDmGiQ5jglMa75HFueZwXRnmUYU5hsI3rZ6N7WqPdrZHu1kC3nGv97WVP/cvRcNmhJ1ccabvmp07rdjw5552WKz59bs3XjZb/iOZ+j5Yej9t9ppG5orb+em19JDZbrup/ZLP3mAJN0wvj0jbf91JqvcGzmm892uYna8dPj3x0kjsPcF0EWQFQRJClyvIAFeVFCUR8Sq0KisCz0dCur798qsmjg4cMynHZOEUg+UEQxJ8UUhRQVFBAVkAUQeZxSSYVgJNAlECkGZG9BnBIgpczCh76ytwi43p7C9Pdo/b0yJ0tdHt9oKsx0s/KPG+hXrBSQ+zc625hlEca7RHGuPjRLmaMg0twcGOd/FgnP84lTHTxE138JA8/ycXhNtnFTHYxk13UZBc1xclMcwvT3MJ0l4DfmFqjTfYIk1zcBBc7zkEn2KJjrJHRlsgEpzDBiZNDmOCUxjmlsS4pwS29auNetjKDLHRfS7SXJdLDFu3hYHp66M620pdPq31z+J6ZdP9stk9GWR/d+bZHnJ2zC9qkF7U8Vtoyg3kqg73vSFn9zKv3O0OxhkAtPYtOSDE6QJn0fYaK5scKGy74qE6XcW0nrGj18Tcttv2wwHreDnAdgBKBi4ZA4UGVQAUZQALgZZABrl0rAVAK/J4O7Vt1697pWOYRCaQoT5P8IAjiTwrhPocKogqcBAIPatUqLA5AFIEPAVUaASgE2BCEThlnH/2xuElGWXsr29UtdnXw8TlUNwvVO4fqaQj2MQYGmsIvWaOv2pjhLnaUm09wC2NcYoITNz7ByY9zcbiNd7Djncx4JzPBQWltkoOaZGcm2dk3bOwk+89tgoOd4GDHO9jxDjbBweA2xk6PsdNjbew4uzDeIU5wSuPt8hibONLKv2blBhmiA03R501UHwvV00r1tNHdHVwXN93cfL1zLveMnmqi4x43cHHHrsSZz9dxnkamfKQvRlll91mhkQ3QsTJ06FSMuQSZypGBQhl8bZ2KMqIPZ1e0O1TYeO6mhu1GdR61qOcnu8frXQcEuAhwlWEAeFBoUGiRiQqCJAIwKtAKcCrIAEajcfy4UcOHv5yX71JB5BWOJ/0PgiD+tH7ODwBOAUHU8kMBiFLAR0COhCXqCoARYOEF8bHtzse/P9c6o6KblevjVnq7xR4OrquV7pIT6WoOdzOHepnDAyyRV6zMcLsw0iWM9Ikj/PwIrzDCK4zwSqM80iiPNMolJ7iVBLcy1iWNc+GuAzfRyU10chMcLJ7D0Np4Bz/ewWs9mHFucYJHmuCVJ/mUiT5ltJ0f4xASnPIYlzzKIb5mFV4xM4NMVD9DpI852sfK9rJz3R1cFzvTwca0slFP2QKPOiKxh0ru0XH3uwBll6GcK8h9GdkvIn8QmSPoeBjphLpmoY4xUN8WrmUI1dIzKIOvrZdqZYQaZ5V1PJD/aOqmJr2nNus29o3/59sDIeEMQDlAGBgVKJCjwIVBEVUAQQUeQAAQAC5eLRk2bFjijCmBylIAkWLCMigiSCQ/CIL4k0IqgAoAoOCmAq7SBKAAyDLIAsi8CFIUoBygACDFS3f68fwT/3K1+e5cvxy6r0Po6mC7+OTWLraVm23jZjq72J42doCZflFPvWgID3RV9vdWPO8LDvRTL+ZKL+fBkDwYlgvDPPCaG4a7YLQLxjphnBMmOtWJLnmMjR9tv0Ub55ZxG+uRx7nlBDcep1KGO8Whdu5lCzvIRD1vij5voZ+3sf0dQlczHZ/DxDvETm6po1tu4xJb2rmmDq6+IRhrisSamBgTg8wMyqGQNYJsIWQJIXMEGZiYbC4uU6h/gqufTtdPZ+sdl+pmAPqhEmVEG7nFpywVzfe6Hk7Z9OSApHbdxhafY2gOJICowgQgTANVHrgGqsQylKIokSiNf5hnz10YOuy17du3S5IAoKiqHAhUqAAsz93l3z9BEMTtQr/1Du0PYaWaLMsVAHaAWXaq7WemVl852x04/9RPZ5tklncphhY+aOGD1j61g0fuZhd7W7h+pmhfU2VXy9XO9ktdHCU9XJW9PczzXuUFH7zog5fcMNQFr7qqI8QF490w3gNjfbduo1zyKJc80imNcIgjHOJwu/C6jX/NLr5oZQdamP5mqrcp0sMU7m6mulrpeBvbxSl1ckvt3VJLJ/+MjX3CEm2sD9yvC9U1UDEmBlmoqpZDoRwG5TDIRCEDE6tja2cx9U9w9xzn7z0qNjwqoT2Rew1wvwMa2mV0+Hzd773Nd+c0WfSPBvEj+70wVSoFoAF4SZDCUaAiQEsgnT9/Hv8AAUAQBLPZPG/evMzMzIsXLwKAJEkAwPM8AMgyOX6QIIg/q9/MD+ymCIkCXAXI4mCpO9B7r6vxTuuDP51qpKtoZGSesUMLG7S3QmcbdLNJXR1svIvq4qzsZLwSb7rcxXS9h7mstyXU1xLtn8MNsAgv2pSXbcoQmzrUrrzqkF9zyiNc0nCP/JpLfNUl/7q9YuNfsfEvW7mXctgXLcwgEzXIRA00RXsZwz1M0R6maHcz1SWH6mJlO9nZ9g6+vVNo7RSa2bknLNGH9aH7syoapJfGHS9tkB2spw/XMYRjjGFkDiNLGOVEUU4UWShkppCejs1m4k6w9xxn7z3K1z8q1DcCOkqjw2V1DMG442efPFbYbb+9cfKaezoOGToiWaxQgQMQFQCeA7pSCcggAUAoFAIAQRAuXLiwdu3ao0ePaj9ShmG0t0l+EATx5/Vv8gN+GSGiAmEBygAsAIvyytv+5Hngh/x7j5XUPx59JBOeyoQWmdBeDx2scns33yov2i4v0sUZ7GkL9soJ9TIHexkDfQyhPrpgH13wBRP9gol+wUwNstADLfTAnOgAa3SANdrfjBt1y8d+pmg/U6SvMdLHEOpjCPc0huON4U5mKj6H62ITOjvFji6xg0tq65aeNEUeM4X/Zgg/qAs0zK64J7sStwa6QIPsYD19sI4hWMuE8yOMcqLIFEWmKDLQKJuOzWTjTrD1jnF10rm6dkAnwkgXesgWit1rf+zrrEHfGdsv2PBIn2Hjps+tvBaCMCeFQhJPycALwHMCCwAsy8qyHAwGly9f/q9//UuSJEmSFEURRTESiQAAwzBlZWV3/NdLEARxx/z7/IAaEQKyArLCiXAeIB0g9XT0yb3u2jsLHsuSHjwkNT4MTx6FZzLVZ8xCEyf9WG7oKV+ok5fv6RB72YU+VraPhepnivQ3hfoZgwMsoefNwf6WYB9LoJc52N0S7GoJdLWEelipHlaqh5W56bF7Dt09J3rT891sTEc7384htHMIbZ1CK4f4rINvamOftDP3Z1U0zK5ooAvU1wfq6QP1TOF65kh9S7SOvhK32vpArCFUyxCqZYggYwTpo0hPIx2NdDTKZlEWgzI5lM0gE4N0gTrZNx48ce6Jb23jHZfWF11/7b1P0JPNh42deOXSVZAVUCSQeIGn8XkeFEUBgCRJW7Zs6d69+4IFC5YsWTJ16tTU1NS5c+cmJSWlpji4a6wAACAASURBVKZOnz595syZVqv1Dv9+CYIg7pTflR9QHSGgCCBRwAXDAOcBfgKYVcC0++H8fV+eefwn+pFD0iNHlL+dEB7S0/eaQ/XtZQ1sZc/YhdY5clur1NHKd7NyvexcPzvzvIPuZwv3s4X72sM97ZGu9mgne7SjI9rBTnVycJ0cXOdfPXZxCfEu4abHTm6ptVt+zq00c4hPWdlHTHQjffjerED9rIr6umB9Q6iuMRRnDMWZo7XN0VhLNNYSRaYAMlXWMgZiDYHa+kgdXaRuNlU3m4nLomMz6VpZNMpmkY5BegYZaKSPouzKWF0J+sZV66ODLf95eLHr4ntGT9tR4xo8+2z7Xt3e/2ij3WYKVdwASRJplqcZRZLxj+vYsWPPPPNM+/btH3nkkUcfffSxxx577rnnmjZt2rhx4yeffPKJJ57o3Lmzy+W6k79cgiCIO+j35gfgCWGVk8OXACpVEEMAFwEcAO+cga67TrX87voTBwKNjkYbZDBx+miMMYxv0w2Mwv0G8W8G8Qkz18zCtbIxHexUvD0ab4/E20OdndFOTqqDm2/rEdt65dY+uaWTb+nkWjm5mx7besQ2HrGNW2jp5FrYmeY2urmVamqlnrALjW18IzN9nz7cIDtYN6syLrsyVleJM6N2DhVro2OsDLJQyBRB5jDKCaKcIDKHkSEcm03Xz6AbpDP3HucaHmPrp7N1MliUxSA9g4w0MtPIGEIHTz+Wdbn98TMDfvQM/efByVt2L/rkywlz533wz82LVqXNXjQrbeWCPft2Xb96TeVlUIBnBfzjWrdu3ZIlSxITE2fMmLFs2bL58+e//fbbc+fOnTdvXlpa2rRp00aNGhUIBO7Ib5UgCOLO+6P5IQAEACoVIcjxIgNQBuCU4MtS6L7D89y+4sYHrzQ8UV5HF6pliiITjcws0vNIL9UyCHEG7l4T3cgUfswUfNIUbGYNP2sLNbdHmzvZ5h6puQ+ey4Vn86C5D5r7lV+3Zzzi0y7+KQf7uJV6xBx+2BBopKu4T1fZwBCta6DqZkdqZ4djdeE6pkhcDlvPxtcyRWvl0DE2NsbB1bKzyEohcxiZgigninJoZKa1pbr3pAsNjkv3HOfrH+frpDO1MhiUTSFDBBlDSHfjkePnH/9SP/Bb5/cUXAQ4VaYEGQAAhg9JQPPAljI3LldcrVrxLIDAiQBw5coVWZYFQaBpWpZllmVZlhVFMRqNKooCAFarddmyZSzL3olfKkEQxP8P/kB+AACApKpRUCOg0CALIIGgQCXAeYDDAkyzXH18q6HBLu+DWZX1LSwysMisIBcgByCrgswcMlBIH4rRV8ZlV9TXVzTQVTTUB+/Vh+830veZufss8n0W8X5j9H5T6Netob6yob6yga6iga7inuxy3OpmV8QZqVgTU8fIxJqYWBMTY6aQmUFmBpkoZK7RLBSyRJCFQmYBmSRkFFEWj9IZdJxFGUJstlLfBOhYBB2sqJsZvc/M1c2qRIcu1dmb+/Q2wwJ3QA9wBYBVqs9IEUUAWgaKA5oGngNJgOotNP/nzj9ZllVVFUUxHA4HAgE8l04QBPFn9EfzQ1EVAW8qBIkHSQBZElQIAVwBMACsOcN02++vv9Ue99PFeiYO2VVk4pFNRk4VuVXkEFAOjSw0slC1TNEYY7SOkYkzsXWNfD2TWN+k1DdL9U1UfXPk162eKYxbXWOorjEUZwjGGYJ1DOFYE4PMXIyJQ2bcGGRhkIX5RXiYcXhEkImplcHVzpRr61RkUJERkFFGRhkZRJQeQhnBBtnhh7MDjX662Oiboqbfn+575Pzmq2CW4BoAAwAMQBSAUoFhQKHV6vxgQOG1TZe/rWoNAgAASJIkiuLt/MYIgiD+O/zB/FABRFykV1VBVICRgFKAkkDgAQIAeSp8VQJjjKWNd/vQNwUo/TrKoZCdQQ4eWRlkjiBjFFkYZBNRDo9yeGQRkUmMMcq1jUptoxJnlOoYmTqmyK9bXQtV10LFmaNx5qj2ZIwxikwsMnHIyCEzW91oZKaRiUImPOfxc4vVUw8clRodVu85rsZkqcioILOILCwyhpCTQaby+sfON9qT23SbdeC3BWlufm85nAUoB+AAgAcIA1AAlAIMCzILwPLA0yDi/JDh33Q+FEUhhUkIgvjL+IP5oUBVRScFRBA5YDgIKxAECIPMsrQQVeEqQLoKM/3R537Kb/Cdr/7h07WPXaidfikmq7SWMYBMEWRikZFFVgVZAeUAsgAyQ4xRjjXIsUY+xsDWMkVjjPRNj7XNbKyFxiNU2vPIQP2cHyYOmVhkYpGJRiYaGSlkitRoIWQK1dFRfzsiNj4g3XOIjznGIT2PLDyyUSinspatLPZo0b3fWFrvMk04UvRZIefhoRSgEoBRQOIAogA0AA3AKMBwIIsAIg8SAxIHIOD8+N1wX4TECUEQf15/PD9wOUAVBFAY4BmgJYgAUMCGQVJAgrAAFwG8AF9E4A3X1eZfGx792vLQbsdDPxQ9dOL6A/pwbHYUnYigHEBWqI4QJdYsxJn4OBMbY+KQmfn1Yy0ji4wUMjDISCE9jQxRpKOQnkIGtkZjkIFBBgoZKGQII0MY6cNIH0T6IDJUIkNlXFb4/sNUo0NMw6PMPSeYOjoq1hCK0d2IyzyPdlse/dYyKN23LO/6kQCcB4gC8CqICqiqCrIKolr1vYsKcDyoigogAQgA0h8JD20zpizLuJYJQRDEn9Efzw8RQAJQQQLgQOKAl/DRtyoPkgScJHIqBxAAuAxgUeGdgvIZOZf77/c8+5X54R2u+7872+BoRe0sJsaoIjMgMyCzjEx8rJmta4rGmaMxJqZ6JuOXzcggA13V9BTSU0gXRbpozfCopWdqGahaBipWH4nRhWP0wVhdMFZXqbXausr6GdF7s5n7dGyDjGC9w9fj9p+uv8f30A5Ll5/8MxyXt5UpTgBc1EoBVWAjACwADcCCyoEi4ikOXGVSa+rPP53fnADRZj5IeV2CIP4a/uj8edVRejXeVGRQZFBUUFieEQQOQAJVAo4BlpEArgLoBPjkLD8j+2Kvbwue2XOy0f5r9xyNxJzgULaIdCIycMhAxRjDcYZAHWMAGW7qUvyq6RmkZ6o2iutopGeQruqfMTo6RheN0UVjdeGY7FBMdiA2KxCbXVEnq6JOVnmdrPJaunJkDSFrCOnLYw9fbvht8TPfFg88dPmN9Ks7roORhUsAFQA0gACsCgGAMoByWS3jIcBChAGeAYUBYAB4HKP4p6EAKAqoEqjSb0WI1tUgw1YEQfw1/OH8UPFxhVAdJGrVH+O8KkugyCAJPKXQIZBo4GmgKAagBOAcgE6CTefEhOyLbff4HvrK8/BPlxoevlb32I249LI6GeV1syvqZpfV1VXGZgViskO1qhvSRXCLMTG1jGzVDIeRQUYGB0lMthCbJcVmCTHZQkw2h3QMTpFaOD+yK2Kzy+OybsRlldTLKqmXdbVe1tn6xwsb7nf/7eucDt+4puivfXkN3ADXAIIADACjAKdQKkRUqODlqwCVKgQliPLAMiDSeAa9Oj/gj+cHroV105MEQRB/On+8/3ErKoACqgKqArKq4g6JCLIIqswBlIN6FeAqwHkAG8D2G8yy/Gv99ujb7jI+vtP6wDeeB34498DxG/dlhBpkVN6bUXZv5vUGmaX1M0vqZZXE6cpq6ypi9BWxhkCsKRJroWPMFNJHkS6C9HSsjq91RIk9DDFHAB0HlC6jdA6lR1F6EOnCtUzhWHMwRleC0s+jI8UxR4sbH8lv+o/vB355IDnd9Y/TFdkcFAOUAAQBKABBBVkBVZFUhVdVVgFaAVoFTgVBAXyQuSyCKlZPeKg1v/+q1bv/5wJegiCIv5D/TH4A3PoUPQVUCWROEWhFpEGOAgQALgB4VdBJ8HkpP9N6sf9+z7PbHY/u8D+0+9QD+849mVn+t8wbD6aX3nf8+j3HS+qdKK2bVRlnCKLMilrZIaSPomwKZUZRJo0ymdgsodZhvvZhqfYxqc4JqU6WWFfP1zcxDc3Repk37km/3ODQ6frf+ut/bXtgt7XpD7m9Drg/PRM8dLHSHpLOyHADIARAqcCKkqIoIEsg490tgqoIiiIpinTr0wHJABRBEP/z7mx+VI114UEdCWQRRAV4gAhAKcAZACfAUQ4+L4XFXmr0wbOdv857ePfZunuuxO6+jHZfQnuvoR/Lah+J1klnap/gamdKdbLV2lkQk6HEZEBsJsRlK/eauQbGQL3MG7FHL6AfT6Fv/bV3u+7ZaXngS0PTHeau3ziH/ZifnHXlvVxu13XIZKAQ4ArANYAygCAADcABKKCCKoMiVjcZVPm3koPkB0EQBNzx/JDh5xPABbyUSQJWVUSQABiAIEApwBWAfAATDd+HYf5pmHwKhrvheX2k85HSZ78798Q3xQ9/ffK+7QX37yx64Ovi+3YUN/yy+J6tJxtsK753e8E9Oy0Ndunu+0b3t33Gp3+0tjvi7JPuf+lEbqq/dHVh4IuLwuEycFFwQYIAQADgEsBVgDKAAEAYgMXTGAAkPwiCIP6QO58feLmSAMDjpoAgAS+CqICoqpwq8MAqwAHQABUAFwFOAngA9AIcqISdl6nPiis+LChdbTu3ynF+lePictv5JeYzacbixYYzaebTb+UUz3eefjv3wvozJZtLwjujygEZsgC8AKcBrgCUA0QAOABWgDAPQYAygDKACoAoAAcgq4osCVWz31VN0dbpkvwgCIK4pTubHypem4V7HqwKggqiBCIPAgPhSmAiIPEgiyBLoCgiy0UiFCupeHUsrjUVBggCBAAqAMoBygHKAK4DXAO4BnC9OgxKAUpqtFKA6wDlACF8PHnVlhWQAGiASNVechVvGldVWRHYX+QHKACKSvKDIAjit93Z/JCqOx6sCrysSJIgS6wqRlQuACpV1cSwIoQVMaIoDIAIogCiAJIIiqgqkqSInCSyssyoCou7EYBLbqm0BDIeBaMUoBVgFeAkVZREWWJB5EFhQIoCHwY2BEwY6DDQEWAZUFiQOZBEEFWQqnar3NRIfhAEQfw7dzY/RICgLIdx1ShQeJAk4OWqHd14KwUNQKvAqMCqwAOIIEkgKiApICtaOXQVQJKrVs1qW75V3KFgFIiKQIvAiMDzIPIg86BwKnAScBLwPPAcsBywLDA0UJRCi8CruAykKoDCgyqCKoKihQfJD4IgiH/vP5Yft4S7BxFQoiDRIDEgcsDzwAs/N5EHkQeJAwVXIazajqgALjolVI9l3dS4qqkLAAlA4kESQRZBFkHBOzR+q+FJGLb6HI8a4aEooCjVMx84P6p3ShIEQRC/cmfzQwaFB4kDkavKCRweVUNUPCh8dRLgSPj5FCalKkK0ETCuRuOrV3VV90hEGSStVY1K4R2NigKyArICkgIigCSBylfVswIeVJwfNcKjRn4AyQ+CIIjfdmfzo7rgIl/dxOr6iwDVu7blGlVsQQWQlOo+CR6J4n/RpajqLohV+9tBYkCJAOBG16hMVXUaB959IgGIuHQugCJWVXusGR7VtVhqbCOXQMshgiAI4lfufH4oIig8KHz1+JKEh6du3WQAUQKRBpEGiQaZBoUGhQa1uik1mkyDynOghKvzI1qjH4MXXFUXp6qOKRlAlarCA8SqpbpaDauf80OqEXUkPwiCIG7hDueHiouCiFWLdGXlF3XP5erb+k0NjzjVmI1QQVF/HpiquWhKUWtc47eure1flAGqsgEvsqrZ7VBvmR8iyQ+CIIhbutP5AVVTC1UTDL/d7dD6B8rPXQH1Vvki1ywhf8sL1igvrw2OaVMmP49K3TI8fpEfPMkPgiCI33Jn80P95Z//wi8mvUH9eaZBrBpTUkQtA9RbdSBujhBVix/l5vaL9biSCqJac2q9+vVVL9IFVa2RSSBVL9PiSX4QBEHc0h3PD6HG7HnNdVMSgAyK+vNf+nhNrXjTsSI1I0T6RfZU3+4V+Dkwaj4qNfcDirecz7hF3wO0i5L+B0EQxP/lTs+f33zUq3zz/VobdbrFYqffGmFSb/lBeEhKe/zN9jv90Y8nCIL433LH84MgCIL4SyL5QRAEQdwOkh8EQRDE7SD5QRAEQdwOkh8EQRDE7SD5QRAEQdwOkh8EQRDE7bhr+SFJEn5UlKo9FqIo1nyXKIqCIAAAy7LaeU2iKKqqKkkSwzD4n9FoFKpPedIuTtM0OfeJIAjijrrL/Q8tP1RV5XleURQtThRFEUWR4zjtA3CcBAIB/AEXL17Eb5SVleE3KioqAICmaSDnBhIEQdxhdzM/cE8Cvy1JkiAIqqritDhx4sSyZctcLpcsy6WlpQAQjUYlSSorK/vhhx/S0tIyMzMBoLKyMhQKAUAgEDh8+PCqVavS09PD4TBFUSQ/CIIg7qi7mR9a50OWZS1IAGDt2rXr169v3759rVq1Nm3apPVIjhw5kpCQMGXKlFatWj377LO7du0CAFEUr127Nnv27NGjRycmJjZq1GjGjBlA+h8EQRB32F3LD208CgB4nsd3dlEUP//88wULFlRUVNjt9iZNmvTr14+iKFEUf/jhh4kTJzqdTgBYu3Zts2bNJk6cCAAXL14cOnTo/v37AaCgoKBLly6DBw92uVwkPwiCIO6ou5YfsizzPI/f5jgOAERR9Pl8SUlJV65cEQRhx44dHTt2bNas2ZkzZ7xe75AhQ86cOQMADMOkpaU1a9asb9++4XB45syZ27dvDwQC4XD45MmTvXv3jo+PP3ToEMkPgiCIO+pujl9pC65wR+Ty5ct///vfDx06hMeyNm3a1Lp16zFjxpSUlMybNy87OxsAGIaJRCLTp0/v2rVramrq+++/v27dOoqi8HWOHDny6KOPDhgwICcnh+QHQRDEHXU380OWZQBQFAUHhsfjSUhICAaDOA9SUlLatGnz+uuvf/zxx++99x4A3LhxAwDKysratm3bo0ePiRMnzps3LxKJ4KuFQqEFCxZ07dq1b9++ZWVlJD8IgiDuqLu8/kq7oYdCIY/Hc+DAAQBQFKWiomLUqFGdOnXq379/cnLymTNnBEHAebNr165evXq1a9euc+fOBQUFAMBxnKqqly9fHjBgQKtWrZKSkrTL4rW8AID3i9xEyx6tJ0QQBEH8Tnc5P7S1VQAgSZI2EuX3+/v27RsfH9+tW7edO3fiTYIcx8mynJaW1q1bt1atWs2bNy8ajfI8j+dRdu7cGR8f37Rp008++eTXXwsnBMMwhYWFW7du3bZtWzAYxO/ieR5PwBAEQRC/392vX3LLYaW9e/e2bt26U6dOQ4YMuXLlCn6SpumSkpJBgwZ16NChT58+Op0OqudOAGDs2LHt27fv1auXx+MBAJ7nRVGkKKqkpCQzM3Pr1q0ffPBBQkLC66+/3qpVq+TkZJZl8Sfibg1BEATxh9z9/AAASZLw7V5RFDxOtXz58latWrVo0WLTpk3ahwmCkJWV1aFDhxYtWixevLjmkNS5c+fatWvXtm3b+fPnh0Khm/oTly9f9nq9drv9iy++aNasWfPmzd955x38Lo7jSOeDIAjiNtzN+lc1B68AQJZlQRC0yY82bdo8++yzZ8+excNcqqpKkrRu3bq2bds2b94cdz5whKiq+s9//rNFixYtWrTYt28frpGFL4g7GVopLZ7nhw8f3r179xUrVjAMo21avOmVEARBEP/WXe5/4GCo+U8AsNvtXbp0adOmzauvvgoA2kDT1atXhw4d2q5du0GDBuGyJbhOCUVRM2bMiI+P79OnD55RB4Di4mI8r47/yXGcKIqhUGjSpEnPPvvszJkztYEvgiAI4jbc5fxQVVWuAXdKPv300+bNm3fo0GHPnj1QvbsQAH766af27dt36tTpgw8+wM/gqYvi4uKBAwd27Nhx4cKF+IMvXrw4e/Zsn8/HsmzNyig8z+PyJ0uXLsXPRCKRaDSqRRRBEATxO93N+iU139Y6IuFwODU19ZlnnunevTvDMBRFaYNLa9eufe6557p164armGjb1zMyMlq2bNmkSZPdu3cDgCAI27ZtS01Nxau5cM8Df6QgCJMmTWrRosWCBQvIdhCCIIj/L+5afuBS7TeliKqqubm5/fr1a9myZVpamiiKuPcgy3I4HH7ppZeaN28+c+bMsrIy3PPACfHhhx8+8sgjw4YNs9lsAJCXlzdixIjLly8Hg8GanQ88Of/GG288/fTTS5YsgerhMjL5QRAEcRvuZv/j110QRVH27t3bpEmTDh06GAwGAOB5XhAEnudPnDjRoUOH5s2b7927V1EUPNkuy3IoFPr4449btmyZkJAAABzHJSQkfPnllzRN3xQMJD8IgiD+g/4r1u9C9USIJEkzZsxo2LDhgAEDwuEwnszAXY0333zz6aef7tSpk8/nw+NR2mbDAwcONGnSpHv37l999dWCBQvS0tJuurgsyziuZFkm+UEQBPEf8d+SH7gKliiK+/bt++STTw4dOgQA2tm00Wh0z549W7du/eabb7QdG3idLs/zsizv27cvKSlp3LhxO3bsAABJkrRdgTiWtBW9JD8IgiD+I/7r8qNmKSqcAYIgRKPRmnd5LRtwF6S8vFySpPLycryoFxcmwbmC+xw1T8Al+UEQBPEf8d+SH9r4lbYtAx9mznEcfkatPm8Kr7XVFvVqu9ApitKeDIfDv65KIssywzAkPwiCIP4j/uvmz7Vn8NIpjuN+PQ0OAAzD4J4Kvgius8tx3KVLl+CXi4M1sizTNE3ygyAI4j/iv279rqIo2m4+rfo6RVH4STzhAdX9Ffxe3AURBAFHjtZfgephMW38iuM4kh8EQRD/Ef8t41d3As/zLMtqEYUjZ8aMGU2bNk1NTYUaNbhueToIQRAE8X/4y+bHTUNhkiRxHBcKhRISEpo0aaKt8SVVsAiCIG7PXzY/tEEwiqJqdi8mT57csmXLt956C/+TFG8nCIK4PX/Z/MDwnnM8hBWJRM6dOzdkyJDWrVvPmjWrrKwM91HwMVN3+5USBEH8yfyV80Obny8rK9PpdJ9++unq1aufe+65xx57rFu3buvWrfvqq68KCwu1WXqCIAji9/vL5ocgCPj8D0VRzp07d/DgwZ07d+7fv//s2bOnTp0yGAxHjhzZtm2bxWIpKSm52y+WIAjiz+cvmx81SZKET5oCALxHHcPzIjVr9BIEQRC/0182P3CNXlEUa25Ep2laO2VEW6ClTZAQBEEQv99fNj8IgiCIO4rkB0EQBHE7SH4QBEEQt4PkB0EQBHE7SH4QBEEQt4PkB0EQBHE7SH4QBEEQt4PkB0EQBHE7qvJDlmWtEq12Ank0GsVvaOcvQY266CzL4uqEUH0OOc/zNQsRhsNh7eLaJj7tSe08Wgx/Iv7S+EtwHMeyLH6msrISqg+DwuWqysrKtM8tLy+veRF87Dl+tTVPU9eOnMJXk2UZH0WlvWb8/eKfAz5MF355lKH21QmCIAik5YEWEtphf/h2qSgKz/N453Y4HKZpWhAELVqCwSC+KWs39MrKSkmSSktLAYCmaVwvRBRFraA61Ciujm/Wt0ydm17YLY940mIJvzztU/AH4/dGIhH8OvG7VFWtGSqYKIpaToTDYRww2ovheR5niVbp5NdXIAiC+F+Dat4Kcc0PSZK0O6bWRbjp9h0Oh/F9GcN/yANARUUFfgMnhHYjFkVRFEWO43CvAl9Ze69WkwqHUM1wikQiDMPggKmsrGQYJhQK4Ui7ceOG9sFaDfbz589rr0q7rFazRPsSkUjk6tWrOL3we/HjxYsX8afUjLRgMIjf++suGkEQxP8sVHN8Rvtznud5j8eTlZV14sSJc+fOafdfnU534sSJq1evAoDX63U4HLhr4na7z5w5g8ODZdlz587hdCkoKFi6dOny5cu3bNly8ODB9PR0fP3y8nJtgAj3VCKRiBZC+LhA+OVNHH55pGBpaem+ffv++c9/vvPOOwaDAWp0DhRFwWd74AviLDx48GAgELjp28ShWFRUtHHjxoULF+7fvx8/f+XKlVAodO7cOYvFAjX6LoqicBxHDrslCIIAbf4D33y1G3R+fv6WLVvGjRs3c+bMjRs3FhYWAsD+/fsnTJiwcuXKpKSkbdu2JSQkzJgx47PPPtu0adP06dNfe+21vLw8WZYPHDjQpk2bYDCI82br1q2vvPLKtm3bzp49u2jRokOHDuXn5wPApUuXsrOzce/B4/H4/f6CgoKcnJxz587RNG00Gl0uFwCcP38+MzOztLQ0HA7n5+dbrVYAuHHjxuLFi9u3bz958uTt27cPHTp0y5YtwWAwJydHFMV9+/bhboQkSQ6HQ6/X0zQ9ePBglmVPnz59/vz5nJwct9utdUSSkpLWrVt38ODBPn36+Hy+8vJy/P1+8cUXkydPpmna5XK5XC6ciJIkad0jgiCI/2VV8x/aOBXP84FA4Kuvvlq3bt28efO+/vrrjz766Mcff+Q4zuFwHD16NBwOt2rVql+/fkVFRQzDjB8/fsyYMbIs//3vf3///fcvXrz49ttvT5069fLly1D9B/6iRYtw16RXr16TJk164403Dh8+nJiYOG3atMTExIMHD3bq1GnJkiW9evV6/fXXJ06cmJKSMnz48LS0tH379k2fPn327NlJSUl6vX7AgAFDhgyZOnUqy7LvvfdecnJySkrK4cOHR44cuW3bthEjRrz66qtLly5dvHjxyy+/bDabV65cmZiYmJqa+sUXX0yZMmXFihUrV65MS0tLTk5evHhxenq6oihGo7F///4AwHFcSUnJjh07Bg0aNHbs2LVr127bti0lJWXjxo3Lli1LSkr68ccf8Y+IDF4RBEEAAMKDOdrIPs/zkUjkH//4x/vvv//FF184nc69e/ceOnRIEIQbN24UFhaOHj169uzZCQkJFy5cuHDhwrBhwyZNmgQAGRkZo0aNmjJlyvr169944w2v14tHn0pLSxcvXgwAqqomJiZScsVInAAABXVJREFUFPXWW2917Njx448/BoDk5OQlS5bMnDmzoKAgPj6+oqJi4MCBCQkJqampK1euXLJkSUpKSklJydy5c1esWIE/pWfPnt99992GDRuWLFkyZMiQXbt24f5NSkpKcXFxUlJSSUnJnj17OnToMHXqVFVV9Xr9oEGD+vbt27p1a4/Hs3r16gEDBixZsqSysrKiouLo0aMpKSna2NeMGTO2bdsGAPPmzfvoo48GDx7cqVOnmTNnvvLKK1u2bJEkCcdtzZE0giCI/03olqubvvvuu1WrVs2fPx/fuJ1OJwAcOnSoRYsWe/bsAYCEhISMjAyr1TpmzJipU6deunRp8+bNS5cuXbNmzQcffNC2bduffvoJz5kDQFJSUmVlJc/zCxYsEEVx1KhRL7744tKlS4PB4IwZMxYuXDh+/PhLly69+uqrBQUF/fv3//TTTz/55JPBgwfHx8ePHj0aAEaMGLF8+fLNmzeXl5cPGjTorbfeysnJWbRo0ccffyxJ0meffTZy5Mj169ffuHGjTZs2Pp/vu+++e+mll6ZPn379+vUPPvhg/fr1ffv2HT58eGpq6o4dO3bu3Dlw4MD3338fAIqLi1988cULFy5Eo9EpU6Y8/fTTn3zySWlpaVJS0kcffdS9e/d27drt3r173bp1uP+B51RqrjwmCIL43/SL/YN4CSye2f72228/+uijTZs2ZWdnsywbiUR27do1cuTItLS0r776Kjs7e+jQoRMnTjx16tT27dvHjBkza9asa9euKYoiiuI333wTCATwhEF5efnevXtZlqUoauvWrbIsb968+eDBg6mpqYmJiZs2bXI4HO+8805JScmyZcvOnj377rvvrlmzZsqUKfPnz9+xY8fy5cvHjh27fv36nJwcg8Fw7dq1xYsXv/feeyzLbtu2LSkpKSUlZd68eVevXt28eTPHcV9++eX48ePHjh1bVFS0b9++ESNGTJs2zWKxbNy4sbi4eMOGDWlpaZMmTUpJScnIyAAAlmV37tw5YsSIoUOH7tmzJz09PTU1dezYsZ9//vnhw4c3bdr06aefTp06NTExEY93ARm/IgiCAIDfyo+aZ/bVJEmStu3u8uXLeAqa47gbN27g1U14IAh/gLa7EK+4BQC84hYA8JJcvI4LqtfO4qupqsrz/MWLF/EFGYY5c+YMvg7eu6eNHWlbDvENXVsldfLkSbxEWFXVc+fO4VXCOMxYlr1x48bly5dv3LiBv0dJkoLBYHl5+YULF/CnRyKRa9euaSGhKEpJScn169e18KAoioxfEQRB/GZ+4JNf8RbCQCAQCoW0QZtwOKzdXkVR1LZxMAzDsiweCuM4ThRFbVhMewPvFZckSVVVvB0E39lxWuC3FUWJRqM4imRZxmfNhsNhjuNwhMiyXFFRUbMfgL80fiXavpBoNFozeLS9KRpZlrWdjJIkCYKAX5gkSfj1Q42tLVC9JZ6EB0EQBNwyPzD8z5sOBtfuttrz2swzz/P4VouToGbtE/xZOBtomq5ZK6XmJsTbEIlEZFmueUP/ddkSqM4AnCIsy4bD4Wg0qvWxRFH8rfkMLUcFQaBpmuM4fH3tuyYIgvif9XN+qDUoiqK9IVfDT+JbrSRJ+MaK7924zAm+Di4lgt8WRVFRFNz5uGkrO75942jBQ0+CIOAntbs/y7L4GRwALMtq5ae07YHalfFn4T3nWj7hj8cfcMt+g5Yi2svTdi/WvE7NwMC7CH/3T5ggCOKvCcEvk0OD341LFmrrVjU3TZDgeRH81zpUFx/keV4URa0OilaOULs4voj2Wb++Kd/0VbTSWPg6NUsZat2Cm0pU1Uy1mpfCtRS1l6d9szW/dM0JD63jpXXOCIIg/sf9v+08ZwTxQDiiAAAAAElFTkSuQmCC" width="200" /><br />
<div style="text-align: justify;"></div><div style="text-align: justify;"></div><div style="text-align: justify;">Gaya gravitasi antara dua benda pertama kali diukur oleh Henry Cavendish pada tahun 1798, lebih dari 100 tahun kemudian setelah publikasi newton tentang hukum gravitasinya. Cavendish tidak hanya memperkuat temuan Newton bahwa dua buah benda saling tarik menarik, tetapi juga mampu menentukan besarnya F, m1, m2, dan R secara akurat, dan akhirnya mendapatkan nilai tetapan G. Harga G yang digunakan sampai sekarang adalah 6,67 x 10-11 Nm2/kg2.</div><div style="text-align: justify;"></div><div style="text-align: justify;"><br />
<div style="color: red; text-align: justify;"><b>Medan Gravitasi</b></div><div style="text-align: justify;">Medan gravitasi adalah sebuah contoh medan vektor dan setiap medan vektor dan setiap titiknya mempunyai sebuah vektor. Medan gravitasi juga dapat didefinesikan sebagai ruang disekitar benda bermassa, dimana benda lainnya dalam lingkup ruangan ini akan terpengaruh oleh gaya gravitasi. Besaran yang mewakili medan gravitasi disebut kuat medan gravitasi yang dapat ditentukan dengan formula:</div><div class="separator" style="clear: both; text-align: center;"><a href="https://lh4.googleusercontent.com/-VD0ylZyHpak/TYwcYc_-zTI/AAAAAAAAAJk/2qflFg213FI/s1600/Picture2.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://lh4.googleusercontent.com/-VD0ylZyHpak/TYwcYc_-zTI/AAAAAAAAAJk/2qflFg213FI/s1600/Picture2.png" /></a></div><div style="text-align: justify;">Berat benda sedikit berbeda dibeberapa tempat karena bumi tidak benar-benar bulat, melainkan agak pepat pada kedua kutubnya dan menggembung pada disekitar khatulistiwa. Oleh karena itu, jari-jari bumi sedikit berbeda dari suatu tempat ke tempat yang lain. Sedangkan besar gaya gravitasi ditentukan juga oleh jari-jari. Dari dasar itulah, dinyatakan bahwa percepatan gravitasi dikhatulistiwa adalah yang terkecil dan di sekitar kutubnya yang terbesar. Bahkan pada ketinggian tertentupun percepatan gravitasi berbeda. Nilai perbandingan percepatan gravitasi dapat dinyatakan sebagai:</div><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-LmilqT4JjRs/TYwdt3rzr6I/AAAAAAAAAJs/1UzI6iCkc-U/s1600/Picture3.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://lh3.googleusercontent.com/-LmilqT4JjRs/TYwdt3rzr6I/AAAAAAAAAJs/1UzI6iCkc-U/s1600/Picture3.png" /></a></div><div style="text-align: justify;">Keterangan:</div><div style="text-align: justify;">gb : percepatan gravitasi pada ketinggian tertentu</div><div style="text-align: justify;">ga : percepatan gravitasi pada permukaan bumi</div><div style="text-align: justify;">R : Jari-jari bumi</div><div style="text-align: justify;">h : Ketinggian dari permukaan bumi</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Kita juga dapat menentukan perbandingan percepatan gravitasi dua buah planet dengan persamaan sebagai berikut.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://lh4.googleusercontent.com/-6sVq0TipU5I/TYwdu-jc0XI/AAAAAAAAAJw/7JBKe4Wp-ic/s1600/Picture4.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://lh4.googleusercontent.com/-6sVq0TipU5I/TYwdu-jc0XI/AAAAAAAAAJw/7JBKe4Wp-ic/s1600/Picture4.png" /></a></div><div style="text-align: justify;">Keterangan:</div><div style="text-align: justify;">g : percepatan gravitasi</div><div style="text-align: justify;">m : massa</div><div style="text-align: justify;">R : Jari-jari </div><div style="text-align: justify;">P : planet</div><div style="text-align: justify;">b : bumi</div></div><div style="text-align: justify;"></div><div style="text-align: justify;"><img alt="" src="data:image/png;base64,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" /> </div><div style="text-align: justify;"></div><div style="text-align: justify;"></div><div style="text-align: justify;"></div><div style="text-align: justify;"></div><div style="text-align: justify;"><br />
Sumber : <a href="http://basicsphysics.blogspot.com/2010/01/gravitasi.html">BasisPhysics</a>, <a href="http://madanisains.blogspot.com/2011/03/gravitasi-newton.html">MadaniSains</a> dan <a href="http://veethaadiyani.blog.uns.ac.id/2011/06/18/hukum-gravitasi-newton/">Veetaadhiyani</a><br />
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</div><div style="text-align: justify;"></div><div style="text-align: justify;"></div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-65351030473842399842011-09-25T23:43:00.000+07:002011-09-26T19:10:39.671+07:00Quiz Fisika-Persamaan Gerak Translasi dan RotasiHallooo Komunitas Fisika Smadda-XI IPA, nih saat yang ditunggu-tunggu, Ulangan Harian/Ulangan Blok ke-1 untuk KD-1 (Persamaan Gerak Translasi) dan KD-2(Persamaan Gerak Rotasi) dengan model Quiz Fisika Online dengan <b><span style="color: red;">KKM 75</span></b> <br />
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Petunjuk Mengerjakan Quiz Fisika Online<br />
1. Login dengan Email anda<br />
2. Gunakan User Name : <b><span style="color: red;">Nama Siswa-Kelas-No. Absen</span></b><br />
3. Isi Data Peserta Quiz Fisika Dengan Jelas,<br />
Data Company diisi dengan Smadda-Sby<br />
Data Department diisi dengan Kelas anda sesuai dengan nama Group Facebook Kelas Fisika yaitu :<br />
Kelas XI IPA-1 ditulis Fisika XI-IPA1<br />
Kelas XI IPA-2 ditulis Fisika XI-IPA2<br />
Kelas XI IPA-3 ditulis Fisika XI-IPA3 <br />
Kelas XI IPA-4 ditulis Fisika XI-IPA4<br />
Kelas XI IPA-5 ditulis Fisika XI-IPA5<br />
4. Quiz Fisika Online di mulai pada :<br />
Hari/Tanggal : Senin / 26 September 2011<br />
Waktu : 00.00 WIB<br />
5. Quiz Fisika Online berakhir pada :<br />
Hari/Tanggal : Kamis / 29 September 2011<br />
Waktu : 00.00 WIB<br />
6. Setelah mengerjakan Quiz Fisika Online segera Print review hasil pekerjaan dari email anda<br />
7. Kumpulkan print out review hasil Quiz Fisika Online pada Bapak/Ibu Guru Fisika kelas masing-masing.<br />
8. Setiap siswa hanya dapat mengerjakan Quiz Fisika Online satu kali saja (<b><span style="color: red;">Satu Kali Submit</span></b>)<br />
9. Bonus Quiz Fisika Online kali ini Time Limit ditiadakan.<br />
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Selamat Mengerjakan, Semoga Anda Lulus dengan Nilai yang Baik..<br />
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Bagi yang kesulitan atau tidak mau menunggu lama silahkan download File Quiz nya <a href="http://www.ziddu.com/download/16527227/GerakTranslasidanRotasi-sip.swf.html">disini,</a> tapi ingat kalian tetap mengerjakannya dalam kondisi <b><span style="color: red;">ONLINE</span></b> agar nilai kalian bisa sending (terkirim) ke E-mail Fisika Smadda (fisikasmadda.sby@gmail.com).<br />
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Good Lucky and Great Succes Be With You...FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-8393530399445507382011-09-14T23:38:00.000+07:002011-09-17T12:25:40.538+07:00Latihan Soal Gerak ParabolaBerikut ini ditampilkan 3 tipe soal dari topik Gerak Parabola yang dibahas di kelas XI IPA SMA : <br />
<div style="text-align: center;"><img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/11/parabolaanim.gif" /></div><br />
1) Soal Tipe I Normal Parabolik <br />
Perhatikan gambar berikut ini!<br />
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<img alt="" class="alignnone" src="http://fisikastudycenter.files.wordpress.com/2010/08/toxiaprbl_1.png" /><br />
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Sebuah peluru ditembakkan dengan kelajuan awal 100 m/s dan sudut elevasi 37<sup>o</sup> . Jika percepatan gravitasi bumi 10 m/s<sup>2</sup>, sin 37<sup>o</sup> = 3/5 dan cos 37<sup>o</sup> = 4/5<br />
Tentukan:<br />
a) Penguraian vektor kecepatan awal terhadap arah horizontal (sumbu X)<br />
b) Penguraian vektor kecepatan awal terhadap arah vertikal (sumbu Y)<br />
c) Kecepatan peluru saat t = 1 sekon<br />
d) Arah kecepatan peluru saat t = 1 sekon terhadap garis mendatar (horisontal)<br />
e) Tinggi peluru saat t = 1 sekon<br />
f) Jarak mendatar peluru saat t = 1 sekon<br />
g) Waktu yang diperlukan peluru untuk mencapai titik tertinggi <br />
h) Kecepatan peluru saat mencapai titik tertinggi<br />
i) Tinggi maksimum yang bisa dicapai peluru ( Y<sub>maks</sub> )<br />
j) Waktu yang diperlukan peluru untuk mencapai sasaran (jarak terjauh arah mendatar)<br />
k) Jarak terjauh yang dicapai peluru ( X<sub>maks </sub>) <br />
<span style="color: red;"><u><a href="http://fisikastudycenter.com/">Pembahasan</a></u></span> <br />
a) Penguraian vektor kecepatan awal terhadap arah horizontal (sumbu X)<br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/parabola1a.gif" /><br />
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b) Penguraian vektor kecepatan awal terhadap arah vertikal (sumbu Y)<br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1b.png" /><br />
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c) Kecepatan peluru saat t = 1 sekon<br />
Karena gerak parabola terbentuk dari dua buah jenis gerak, yaitu GLBB pada sumbu Y dan GLB pada sumbu X, maka terlebih dahulu harus dicari kecepatan gerak peluru saat 1 sekon untuk masing-masing sumbu. <br />
Pada <u>sumbu X</u> :<br />
Karena jenis geraknya GLB (gerak lurus beraturan) maka kecepatannya selalu konstan , jadi akan sama dengan kecepatan awal untuk sumbu X jadi : <br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1cx.png" /><br />
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<u>sumbu Y</u>:<br />
Jenis gerakan pada sumbu Y adalah GLBB jadi ingat rumus untuk mencari kecepatan saat t yaitu V<sub>t </sub>= V<sub>o</sub> - gt dengan V<sub>o</sub> disini diganti V<sub>o</sub> miliknya Y atau V<sub>oy</sub><br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1cy.png" /><br />
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<u>kecepatan</u> " saja <br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1cv.gif" /><br />
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d) Arah kecepatan peluru saat t = 1 sekon terhadap garis mendatar (horisontal)<br />
Arah kecepatan bisa diwakili oleh nilai sinus, cosinus atau tan dari suatu sudut, kalo mau sudutnya tinggal ubah saja jika sudah diketahui nilai sin, cos tan nya. Disini kita pakai nilai tan sudut katakanlah namanya sudut Θ dimana: <br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1d.gif" /><br />
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Besar sudutnya..., cari pakai kalkulator karena bukan sudut istimewa. <br />
e) Tinggi peluru saat t = 1 sekon<br />
Saat 1 sekon ketinggian peluru namakan saja <strong>Y </strong>atau <strong>h</strong> juga boleh,...<br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1e.gif" /><br />
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f) Jarak mendatar peluru saat t = 1 sekon<br />
Saat 1 sekon jarak mendatar peluru namakan saja <strong>X</strong><br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1f.gif" /><br />
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g) Waktu yang diperlukan peluru untuk mencapai titik tertinggiTitik tertinggi dicapai peluru saat kecepatan pada sumbu Y adalah <u>NOL</u>. Sehingga:<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1g.gif" /><br />
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h) Kecepatan peluru saat mencapai titik tertinggiKarena saat titik tertinggi <strong> V<sub>ty</sub> = 0</strong>, maka tinggal <strong>V<sub>tx</sub></strong> saja yang ada nilainya sehingga:<br />
<strong>V<sub>t</sub> = V<sub>tx</sub> = Vo cos α = 100(4/5) = 80 m/s</strong><br />
i) Tinggi maksimum yang bisa dicapai peluru<br />
Tinggi maksimum namakan <strong>Y <sub>maks</sub></strong> atau di soal biasanya <strong> h<sub>max</sub></strong>,..tinggal pilih saja :<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1i.png" /><br />
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j) Waktu yang diperlukan peluru untuk mencapai sasaran (jarak terjauh arah mendatar)Waktu untuk mencapai jarak mendatar paling jauh adalah dua kali waktu untuk mencapai ketinggian maksimum sehingga hasilnya <strong> 2 x 6 = 12</strong> sekon.<br />
k) Jarak terjauh yang dicapai peluru <br />
Cara pertama, dipakai jika sudah diketahui waktunya (12 sekon) <br />
<strong>Xmaks = (Vo cos α ) t = 100(4/5)12 = 960 meter</strong><br />
Cara kedua anggap saja belum diketahui waktunya :<br />
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<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola1k.png" /><br />
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2) Soal Tipe II Setengah ParabolikSebuah peluru ditembakkan dari moncong sebuah meriam dengan kelajuan 50 m/s arah mendatar dari atas sebuah bukit, ilustrasi seperti gambar berikut.<br />
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<img alt="" class="alignnone" src="http://fisikastudycenter.files.wordpress.com/2010/08/toxiaprbl_12.png" /><br />
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Jika percepatan gravitasi bumi adalah 10 m/s<sup>2</sup> dan ketinggian bukit 100 m <br />
Tentukan :<br />
a. Waktu yang diperlukan peluru untuk mencapai tanah <br />
b. Jarak mendatar yang dicapai peluru (S)<br />
<span style="color: red;"><u><a href="http://fisikastudycenter.com/">Pembahasan</a></u></span><br />
a) Waktu yang diperlukan peluru untuk mencapai tanah <br />
Tinjau gerakan sumbu Y, yang merupakan gerak jatuh bebas. Sehingga <strong>V<sub>oy</sub> = O</strong> dan ketinggian bukit namakan <strong>Y</strong> (di soal dinamakan <strong>h</strong>)<br />
<strong>Y = 1/2 g t<sup>2</sup></strong><br />
<strong>100 = (1/2)(10) t<sup>2</sup></strong> <br />
<strong>t = √20 = 2√5 sekon</strong><br />
b) Jarak mendatar yang dicapai peluru (S)<br />
Jarak mendatar gerakan berupa GLB karena sudutnya nol terhadap horizontal langsung saja pakai rumus:<br />
<strong>S = V t </strong><br />
<strong>S = (50)( 2 √5) = 100 √5 meter</strong><br />
3) Soal Tipe III The Beauty <br />
Sebuah bola dilontarkan dari atap sebuah gedung yang tingginya adalah h = 10 m dengan kelajuan awal V<sub>0</sub> = 10 m/s <br />
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<img alt="" class="alignnone" src="http://fisikastudycenter.files.wordpress.com/2010/08/toxiaprbl_14.png" /><br />
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Jika percepatan gravitasi bumi adalah 10 ms<sup>2</sup> , sudut yang terbentuk antara arah lemparan bola dengan arah horizontal adalah 30<sup>o</sup> dan gesekan bola dengan udara diabaikan,, <br />
Tentukan :<br />
a) Waktu yang diperlukan bola untuk menyentuh tanah <br />
b) Jarak mendatar yang dicapai bola <br />
<span style="color: red;"><u><a href="http://fisikastudycenter.com/">Pembahasan</a></u></span><br />
a) Waktu yang diperlukan bola untuk menyentuh tanah ketinggian gedung <strong>h</strong> atau sama dengan <strong>Y</strong> disini :<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola3a.png" /><br />
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ambil nilai positif sehingga <strong>t = 2 sekon</strong><u><strong>Catatan</strong></u> : Jangan lupa tanda minus pada nilai <strong>Y</strong>, karena kalau plus berarti 10 meter diatas tempat pelemparan, sementara posisi yang dicari adalah 10 meter dibawah tempat pelemparan. <br />
b) Jarak mendatar yang dicapai bola <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11parabola3b.png" /><br />
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Untuk menguji pemahaman silahkan dicoba <strong><a href="http://fisikastudycenter.com/touhXIa_prbl/touhXIa_prbl_s.htm"><span style="color: green;">Soal Try Out XI SMA - Gerak Parabola</span></a></strong> , model tipe soal sama dengan yang baru saja kita bahas...,<br />
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Sumber : <a href="http://fisikastudycenter.com/index.php?%20%20option=com_content&task=view&id=76&Itemid=35">Fisika Study Center </a>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0tag:blogger.com,1999:blog-3291317472112582293.post-13206182854836657792011-09-14T23:27:00.000+07:002011-09-17T23:39:19.554+07:00Gerak ParabolaGeral peluru atau parabola pada dasarnya merupakan perpaduan antara gerak horizontal (searah dengan sumbu x) dengan vertikal (searah sumbu y). Pada gerak horizontal bersifat GLB (Gerak Lurus Beraturan) karena gesekan udara diabaikan. Sedangkan pada serak vertikal bersifat GLBB (Gerak Lurus Berubah Beraturan) karena pengaruh percepatan grafitasi bumi (g). <br />
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Perhatikan animasi di bawah ini :<br />
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<embed src="http://www.swfcabin.com/swf-files/1316272976.swf" quality="medium" allowscriptaccess="always" bgcolor="#000000" wmode="opaque" type="application/x-shockwave-flash" pluginspage="http://www.macromedia.com/go/getflashplayer" align="middle" height="335" width="460"></embed><br />
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Gambar Skema Gerak Parabola :<br />
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</div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/_IL_hvTz-W_E/TLrrz3mXbKI/AAAAAAAABA4/RgLwYc1bib4/s1600/c4.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="234" src="http://3.bp.blogspot.com/_IL_hvTz-W_E/TLrrz3mXbKI/AAAAAAAABA4/RgLwYc1bib4/s320/c4.png" width="320" /></a></div><br />
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</div><div style="text-align: justify;"><b>A. Kecepatan</b></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">disebabkan gerak parabola merupakan perpaduan antara dua gerak maka masing-masing elemen gerak kita cari secara terpisah. Rumusnya sebagai berikut :</div><div style="text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLrtPNgPpVI/AAAAAAAABA8/gv12kfdDchk/s1600/CodeCogsEqn.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLrtPNgPpVI/AAAAAAAABA8/gv12kfdDchk/s1600/CodeCogsEqn.gif" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLrtVUbbNmI/AAAAAAAABBA/-wTL97LGeqY/s1600/CodeCogsEqn%282%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLrtVUbbNmI/AAAAAAAABBA/-wTL97LGeqY/s1600/CodeCogsEqn%282%29.gif" /></a></div><div style="text-align: justify;"><br />
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Jadi v<span style="font-size: xx-small;">x</span> merupakan peruraian kecepatan awal (v<span style="font-size: xx-small;">o</span>) terhadap sumbu x sedangkan v<span style="font-size: xx-small;">y</span> merupakan peruraian kecepatan awal (v<span style="font-size: xx-small;">o</span>) terhadap sumbu y.Nilai v<span style="font-size: xx-small;">x</span> sepanjang waktu terjadinya gerak parabola bersifat tetap karena merupakan GLB. Namun nilai v<span style="font-size: xx-small;">y</span> berubah karena pengaruh percepatan grafitasi bumi, sehingga saat peluru naik merupakan GLBB diperlambat dan saat peluru turn merupakan GLBB dipercepat.</div><div style="text-align: justify;">Setelah kita mendapatkan nilai v<span style="font-size: xx-small;">x</span> dan v<span style="font-size: xx-small;">y</span>, dapat dicari kecepatan gabungannya dengan menggunakan rumus :</div><div style="text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/_IL_hvTz-W_E/TLrvq1b2BdI/AAAAAAAABBE/SEDl1xRIHoM/s1600/CodeCogsEqn%283%29.gif" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/_IL_hvTz-W_E/TLrvq1b2BdI/AAAAAAAABBE/SEDl1xRIHoM/s1600/CodeCogsEqn%283%29.gif" /></a></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">disaat peluru mencapai titik tertinggi maka <b style="color: #38761d;">v<span style="font-size: xx-small;">y</span> = 0 <span style="color: black;">maka</span> v = v<span style="font-size: xx-small;">x</span></b> . Selain itu rumus v<span style="font-size: xx-small;">y</span> di atas <b>hanya berlaku</b> untuk awal peluru bergerak sampai mencapai titik tertinggi. maka kita harus hati2 dalam mengerjakan soal....apakah waktu yang diketahui kurang dari waktu yang dibutuhkan untuk mencapai titik tertinggi atau justru melebihinya. namun untuk mengantisipasinya kita tidak perlu mencari besar waktu saat mencapai titik tertinggi.....saat nilai v<span style="font-size: xx-small;">y</span> < 0 atau negatif maka rumus tersebut tidak berlaku lagi. </div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Truzz... rumus apa yang kita pakai untuk mencari V<span style="font-size: xx-small;">y</span>??</div><div style="text-align: justify;">Jawabannya : v<span style="font-size: xx-small;">y</span> kita cari dengan menggunakan rumus Gerak Jatuh Bebas. tentu saja waktu yang dimasukkan dalam rumus telah dikurang terlebih dahulu dengan waktu saat mencapai titik tertinggi.... (Hmm... karena saat melewati titik tertinggi kita menggunakan rumus baru...jadi waktunya pun dimulai dari titik ini juga....bukan dari waktu peluru mulai bergerak). mengenai waktu untuk mencapai titik tertinggi akan dibahas di bawah....sedangkan kalau kalian lupa tentang Gerak Jatuh bebas coba kalian cari <a href="http://mediabelajaronline.blogspot.com/2010/03/gerak-lurus-berubah-beraturan-glbb.html"><b>disini</b></a>.</div><div style="text-align: justify;"><b><br />
</b></div><div style="text-align: justify;"><b>B. Jarak Tempuh</b></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Jarak tempuh Peluru juga terdiri atas dua jenis yakni ketinggian peluru (y) dan jarak hrizontal/mendatar peluru (x). adapun rumus jarak tempuh sebagai berikut :</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/_IL_hvTz-W_E/TLsKrEYp4SI/AAAAAAAABBI/s6XY65abFFI/s1600/CodeCogsEqn%284%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/_IL_hvTz-W_E/TLsKrEYp4SI/AAAAAAAABBI/s6XY65abFFI/s1600/CodeCogsEqn%284%29.gif" /></a></div><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsKzhm39aI/AAAAAAAABBM/-oIZmkKEUBY/s1600/CodeCogsEqn%285%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsKzhm39aI/AAAAAAAABBM/-oIZmkKEUBY/s1600/CodeCogsEqn%285%29.gif" /></a></div><br />
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Seperti halnya kecepatan peluru..... rumus di atas untuk yang bagian ketinggian peluru (y) hanya berlaku untuk setengah gerakan awal yakni awal peluru bergerak hingga titik tertinggi. saat melampaui titik tertinggi maka gerakan vertikalnya sama halnya dengan gerak jatuh bebas... baik kecepatannya (v<span style="font-size: xx-small;">y</span>) maupun ketinggiannya (y atau h)<br />
<b><br />
</b><br />
<b>C. ketinggian Maksimal (h<span style="font-size: xx-small;">maks</span>) dan Jarak Tempuh Maksimal (x<span style="font-size: xx-small;">maks</span>)</b><br />
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Rumus ketinggian maksimum adalah :<b> </b><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsMzRwk8eI/AAAAAAAABBQ/bwJ-rrIT-O4/s1600/CodeCogsEqn%286%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsMzRwk8eI/AAAAAAAABBQ/bwJ-rrIT-O4/s1600/CodeCogsEqn%286%29.gif" /></a></div><br />
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dan waktu saat ketinggian maksimum terjadi :<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsNXdDnMoI/AAAAAAAABBU/z5c2BGZyR0E/s1600/CodeCogsEqn%288%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsNXdDnMoI/AAAAAAAABBU/z5c2BGZyR0E/s1600/CodeCogsEqn%288%29.gif" /></a></div><br />
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bila diketahui ketinggan maksimumnya juga dapat dicari waktunya dengan rumus :<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsNyDyfEPI/AAAAAAAABBY/NNx8vRjReA0/s1600/CodeCogsEqn%2810%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsNyDyfEPI/AAAAAAAABBY/NNx8vRjReA0/s1600/CodeCogsEqn%2810%29.gif" /></a></div><br />
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demikian pula bila waktu saat ketinggian maksimum diketahui maka ketinggian maksimumnya dapat dicari dengan rumus :<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsOJTBvH0I/AAAAAAAABBc/7BCPuxTIKHI/s1600/CodeCogsEqn%2811%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsOJTBvH0I/AAAAAAAABBc/7BCPuxTIKHI/s1600/CodeCogsEqn%2811%29.gif" /></a></div><br />
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Sedangkan jarak tempuh horizontal terjauh/maksimalnya dapat dicari dengan rumus :<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsObOlR87I/AAAAAAAABBg/CuaEMZ6dv58/s1600/CodeCogsEqn%287%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://1.bp.blogspot.com/_IL_hvTz-W_E/TLsObOlR87I/AAAAAAAABBg/CuaEMZ6dv58/s1600/CodeCogsEqn%287%29.gif" /></a></div><br />
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yang harus diingat adalah pelajaran trigonometri bahwa nilai sin 2a = 2.sin a.cos a<br />
ingin belajar lebih jauh..?? silahkan klik <a href="http://mediabelajaronline.blogspot.com/2010/02/rumus-rumus-umum-dalam-trigonometri-iii.html"><b>di sini</b></a>....<br />
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waktu untuk mencapai jarak tempuh terjauh sama dengan dua kali waktu yang dibutuhkan untuk mencapai titik tertinggi :<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsPqDBazgI/AAAAAAAABBk/5WdFF9fPuWw/s1600/CodeCogsEqn%289%29.gif" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/_IL_hvTz-W_E/TLsPqDBazgI/AAAAAAAABBk/5WdFF9fPuWw/s1600/CodeCogsEqn%289%29.gif" /></a></div><br />
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<b>Keterangan :</b><br />
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h<span style="font-size: xx-small;">maks</span> = Ketinggian maksimum (m)<br />
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x<span style="font-size: xx-small;">maks</span> = Jarak tempuh mendatar/horizontal terjauh (m)<br />
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t = Waktu (s)<br />
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sebagai tambahan.... untuk memperoleh jarak tempuh horizontal terjauh dengankecepatan awal yang sama adalah dengan sudut elevasi sebesar 45<sup>o</sup>.</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;">Sumber : <a href="http://mediabelajaronline.blogspot.com/2010/10/gerak-peluruparabola.html">Media Belajar Online</a></div><div style="text-align: justify;"><br />
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</div>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com1tag:blogger.com,1999:blog-3291317472112582293.post-5539922875264477462011-09-14T23:00:00.000+07:002011-09-14T23:28:45.147+07:00Gerak Melingkar<div class="subjudul">Pengertian Gerak Melingkar </div><div class="style9">Dalam kehidupan sehari-hari sering kita jumpai berbagai macam gerak melingkar, seperti <em>compact</em> <em>disc</em> (CD), gerak bulan mengelilingi bumi, perputaran roda ban mobil atau motor, komidi putar, dan sebagainya.</div><div class="style9">Jika kita perhatikan benda-benda tersebut pada saat bergerak, maka dikatakan benda melakukan gerak melingkar yang selama pergerakkannya berada dalam bidang datar. </div><div class="style9">Gerak Melingkar adalah gerak benda pada lintasan yang berbentuk lingkaran. Gerak melingkar sama halnya dengan gerak lurus dibagi menjadi dua : Gerak Melingkar Beraturan (GMB) dan Gerak Melingkar Berubah Beraturan (GMBB).</div><h3><span class="mw-headline" id="Gerak_melingkar_beraturan">Gerak melingkar beraturan</span></h3>Gerak Melingkar Beraturan (GMB) adalah gerak melingkar dengan besar kecepatan sudut <img alt="\omega\!" class="tex" src="http://upload.wikimedia.org/math/1/4/2/142d96913af45932b8b0014fa54a9d54.png" /> tetap. Besar Kecepatan sudut diperolah dengan membagi kecepatan tangensial <img alt="v_T\!" class="tex" src="http://upload.wikimedia.org/math/2/6/6/266272a76629fd9104e8ff895fea9fe1.png" /> dengan jari-jari lintasan <img alt="R\!" class="tex" src="http://upload.wikimedia.org/math/7/7/2/772b94581a36ba6f0b59997175e44424.png" /><br />
<dl><dd><img alt="\omega = \frac {v_T} R" class="tex" src="http://upload.wikimedia.org/math/0/9/f/09f72d2da5f4f0f455d1674fd753b25e.png" /></dd></dl>Arah kecepatan linier <img alt="v\!" class="tex" src="http://upload.wikimedia.org/math/3/4/0/340aa0a997def5a0da71d867606355be.png" /> dalam GMB selalu menyinggung lintasan, yang berarti arahnya sama dengan arah kecepatan tangensial <img alt="v_T\!" class="tex" src="http://upload.wikimedia.org/math/2/6/6/266272a76629fd9104e8ff895fea9fe1.png" />. Tetapnya nilai kecepatan <img alt="v_T\!" class="tex" src="http://upload.wikimedia.org/math/2/6/6/266272a76629fd9104e8ff895fea9fe1.png" /> akibat konsekuensi dar tetapnya nilai <img alt="\omega\!" class="tex" src="http://upload.wikimedia.org/math/1/4/2/142d96913af45932b8b0014fa54a9d54.png" />. Selain itu terdapat pula percepatan radial <img alt="a_R\!" class="tex" src="http://upload.wikimedia.org/math/a/d/5/ad52970bff785b8c000849b2878f0e9d.png" /> yang besarnya tetap dengan arah yang berubah. Percepatan ini disebut sebagai percepatan sentripetal, di mana arahnya selalu menunjuk ke pusat lingkaran.<br />
<dl><dd><img alt="a_R = \frac {v^2} R = \frac {v_T^2} R" class="tex" src="http://upload.wikimedia.org/math/8/0/c/80c2b97f81a458f3dbdd10a91cf7a52b.png" /></dd></dl>Bila <img alt="T\!" class="tex" src="http://upload.wikimedia.org/math/f/8/0/f8091aa5c67850d6fb62bce537c23f0e.png" /> adalah waktu yang dibutuhkan untuk menyelesaikan satu putaran penuh dalam lintasan lingkaran <img alt="\theta = 2\pi R\!" class="tex" src="http://upload.wikimedia.org/math/1/e/1/1e1ddd43e7bc04725e911b0fc3d74d62.png" />, maka dapat pula dituliskan<br />
<dl><dd><img alt="v_T = \frac {2\pi R} T \!" class="tex" src="http://upload.wikimedia.org/math/0/2/e/02e307bad1886b313ebfa1a58f1c4e4a.png" /></dd></dl>Kinematika gerak melingkar beraturan adalah<br />
<dl><dd><img alt="\theta(t) = \theta_0 + \omega\ t" class="tex" src="http://upload.wikimedia.org/math/8/b/a/8ba777d24de46487092378fc50b9ba93.png" /></dd></dl>dengan <img alt="\theta(t)\!" class="tex" src="http://upload.wikimedia.org/math/6/1/4/614ee39249b4bd48465468e38ff41a08.png" /> adalah sudut yang dilalui pada suatu saat <img alt="t\!" class="tex" src="http://upload.wikimedia.org/math/6/7/1/671a884b16c14338901e96de1055e495.png" />, <img alt="\theta_0\!" class="tex" src="http://upload.wikimedia.org/math/e/1/b/e1bb69e6be725cd03b554a145b80a119.png" /> adalah sudut mula-mula dan <img alt="\omega\!" class="tex" src="http://upload.wikimedia.org/math/1/4/2/142d96913af45932b8b0014fa54a9d54.png" /> adalah kecepatan sudut (yang tetap nilainya).<br />
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<h3><span class="mw-headline" id="Gerak_melingkar_berubah_beraturan">Gerak melingkar berubah beraturan</span></h3>Gerak Melingkar Berubah Beraturan (GMBB) adalah gerak melingkar dengan percepatan sudut <img alt="\alpha\!" class="tex" src="http://upload.wikimedia.org/math/0/4/c/04c7717fdd8aa2281ea5b3b9c79919cb.png" /> tetap. Dalam gerak ini terdapat percepatan tangensial <img alt="a_T\!" class="tex" src="http://upload.wikimedia.org/math/3/e/5/3e53dac92e09d36d8b72c4bd5c8ab8ea.png" /> (yang dalam hal ini sama dengan percepatan linier) yang menyinggung lintasan lingkaran (berhimpit dengan arah kecepatan tangensial <img alt="v_T\!" class="tex" src="http://upload.wikimedia.org/math/2/6/6/266272a76629fd9104e8ff895fea9fe1.png" />).<br />
<dl><dd><img alt="\alpha = \frac {a_T} R" class="tex" src="http://upload.wikimedia.org/math/c/c/1/cc14d171f65e735a1014fb9c5da5e55b.png" /></dd></dl>Kinematika GMBB adalah<br />
<dl><dd><img alt="\omega(t) = \omega_0 + \alpha\ t \!" class="tex" src="http://upload.wikimedia.org/math/d/f/e/dfef472c38f0d67823ff229f011b7884.png" /></dd></dl><dl><dd><img alt="\theta(t) = \theta_0 + \omega_0\ t + \frac12 \alpha\ t^2 \!" class="tex" src="http://upload.wikimedia.org/math/e/7/a/e7a6bec7ce0313bb7b40354b4ffbd6d2.png" /></dd></dl><dl><dd><img alt="\omega^2(t) = \omega_0^2 + 2 \alpha\ (\theta(t) - \theta_0) \!" class="tex" src="http://upload.wikimedia.org/math/f/a/e/faefcf1bc3efd6201a3e7e77ed73480c.png" /></dd></dl>dengan <img alt="\alpha\!" class="tex" src="http://upload.wikimedia.org/math/0/4/c/04c7717fdd8aa2281ea5b3b9c79919cb.png" /> adalah percepatan sudut yang bernilai tetap dan <img alt="\omega_0\!" class="tex" src="http://upload.wikimedia.org/math/c/9/5/c95832200090aa6b0670491d140e7360.png" /> adalah kecepatan sudut mula-mula.<br />
<h3><span class="mw-headline" id="Turunan_dan_integral">Turunan dan integral</span></h3>Seperti halnya kembarannya dalam gerak linier, besaran-besaran gerak melingkar pun memiliki hubungan satu sama lain melalui proses integrasi dan diferensiasi.<br />
<dl><dd><img alt="\int \omega\ dt = \theta \ \ \leftrightarrow\ \ \omega = \frac{d\theta}{dt}" class="tex" src="http://upload.wikimedia.org/math/9/8/d/98d52cb12654aedab8eb97fbcd2a91ba.png" /></dd></dl><dl><dd><img alt="\int \alpha\ dt = \omega \ \ \leftrightarrow\ \ \alpha = \frac{d\omega}{dt}" class="tex" src="http://upload.wikimedia.org/math/6/9/c/69c9e49cb1f599950d3bbd354e2e9fc9.png" /></dd></dl><dl><dd><img alt="\int \int \alpha\ dt^2 = \theta \ \ \leftrightarrow\ \ \alpha = \frac{d^2\theta}{dt^2}" class="tex" src="http://upload.wikimedia.org/math/8/e/e/8ee3f26e47726b9177c4c87dbeef7694.png" /></dd></dl><h3><span class="editsection">[<a href="http://id.wikipedia.org/w/index.php?title=Gerak_melingkar&action=edit&section=3" title="Sunting bagian: Hubungan antar besaran sudut dan tangensial">sunting</a>]</span> <span class="mw-headline" id="Hubungan_antar_besaran_sudut_dan_tangensial">Hubungan antar besaran sudut dan tangensial</span></h3>Antara besaran gerak linier dan melingkar terdapat suatu hubungan melalui <img alt="R\!" class="tex" src="http://upload.wikimedia.org/math/7/7/2/772b94581a36ba6f0b59997175e44424.png" /> khusus untuk komponen tangensial, yaitu<br />
<dl><dd><img alt="\theta = \frac{r_T}{R}\ \ , \ \ \omega = \frac{v_T}{R}\ \ , \ \ \alpha = \frac{a_T}{R}" class="tex" src="http://upload.wikimedia.org/math/e/e/1/ee14f6a34df1fd10326f54a4ab22997d.png" /></dd></dl>Perhatikan bahwa di sini digunakan <img alt="r_T\!" class="tex" src="http://upload.wikimedia.org/math/5/5/5/555de18421070fd0bb99ef173339a397.png" /> yang didefinisikan sebagai jarak yang ditempuh atau tali busur yang telah dilewati dalam suatu selang waktu dan bukan hanya posisi pada suatu saat, yaitu<br />
<dl><dd><img alt="r_T \approx |\overrightarrow{r}(t+\Delta t)-\overrightarrow{r}(t)|\!" class="tex" src="http://upload.wikimedia.org/math/3/6/d/36d7fb93a6ebc9016d862951fd7a0dcc.png" /></dd></dl>untuk suatu selang waktu kecil atau sudut yang sempit.<br />
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<b><strong style="font-weight: normal;">Besaran-Besaran Fisis da</strong></b><strong style="font-weight: normal;"><b>lam Gerak Melingkar</b> </strong> <br />
<div style="text-align: justify;">Dalam gerak lurus mengenal tiga besaran utama yaitu perpindahan (linear), kecepatan (linear) dan Percepatan (linear). Gerak melingkar juga memiliki tiga komponen tersebut, yaitu <em>perpindahan sudut, kecepatan sudut dan percepatan sudut</em>. Pada gerak lurus juga mengenal <a href="http://www.gurumuda.com/gerak-lurus-beraturan-glb/" title="Gerak Lurus Beraturan">Gerak Lurus Beraturan</a> dan <a href="http://www.gurumuda.com/gerak-lurus-berubah-beraturan-glbb/" title="Gerak Lurus Berubah Beraturan">Gerak Lurus Berubah Beraturan</a>. Dalam gerak melingkar juga terdapat <a href="http://www.gurumuda.com/gerak-melingkar-beraturan-gmb/" title="Gerak Melingkar Beraturan">Gerak Melingkar Beraturan</a> (GMB) dan Gerak Melingkar Berubah Beraturan (GMBB).</div><strong style="font-weight: normal;"><em>* Perpindahan Sudut</em></strong><br />
Ada tiga cara menghitung sudut. <em>Cara pertama </em>adalah menghitung sudut dalam derajat (<sup>o</sup>). Satu lingkaran penuh sama dengan 360<sup>o</sup>. <em>Cara kedua </em>adalah mengukur sudut dalam putaran. Satu lingkaran penuh sama dengan satu putaran. Dengan demikian, satu putaran = 360<sup>o</sup>. Cara ketiga adalah dengan radian. Radian adalah satuan Sistem Internasional (SI) untuk perpindahan sudut, sehingga satuan ini akan sering kita gunakan dalam perhitungan.<br />
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<strong style="font-style: italic; font-weight: normal;">*Kecepatan Sudut</strong><br />
Dalam gerak melingkar, bagian yang berbeda memiliki kecepatan yang berbeda. Misalnya gerak roda yang berputar. Bagian roda yang dekat dengan poros bergerak dengan kecepatan linear yang lebih kecil, sedangkan bagian yang jauh dari poros alias pusat roda bergerak dengan kecepatan linear yang lebih besar<div style="text-align: justify;">Pada gerak melingkar, kelajuan rotasi benda dinyatakan dengan <em>putaran per menit</em> (biasa disingkat <em>rpm</em> – <em>revolution per minute</em>). Kelajuan yang dinyatakan dengan satuan <em>rpm</em> adalah kelajuan sudut. Dalam gerak melingkar, kita juga dapat menyatakan arah putaran. misalnya kita menggunakan arah putaran jarum jam sebagai patokan. Oleh karena itu, kita dapat menyatakan kecepatan sudut, di mana selain menyatakan kelajuan sudut, juga menyatakan arahnya <em>(ingat perbedaan kelajuan dan kecepatan, mengenai hal ini sudah Gurumuda terangkan pada Pokok bahasan Kinematika). </em>Jika kecepatan pada gerak lurus disebut <em>kecepatan linear (benda bergerak pada lintasan lurus)</em>, maka kecepatan pada gerak melingkar disebut kecepatan sudut, karena benda bergerak melalui sudut tertentu.</div><div style="text-align: justify;">Terdapat dua jenis kecepatan pada Gerak Lurus, yakni <em>kecepatan rata-rata dan kecepatan sesaat</em>. Kita dapat mengetahui <em>kecepatan rata-rata</em> pada Gerak Lurus dengan membandingkan besarnya perpindahan yang ditempuh oleh benda dan waktu yang dibutuhkan benda untuk bergerak . Nah, pada gerak melingkar, kita dapat menghitung <strong><em>kecepatan sudut rata-rata</em></strong> dengan membandingkan perpindahan sudut dengan selang waktu yang dibutuhkan ketika benda berputar. Secara matematis kita tulis :</div><a href="http://3.bp.blogspot.com/_5VCV_z7t198/S5yc1vZybtI/AAAAAAAAAF4/ULK7BrFP-iA/s1600-h/besaran-besaran-gerak-melingkar-04.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448402096283086546" src="http://3.bp.blogspot.com/_5VCV_z7t198/S5yc1vZybtI/AAAAAAAAAF4/ULK7BrFP-iA/s320/besaran-besaran-gerak-melingkar-04.jpg" style="cursor: pointer; float: left; height: 62px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a><br />
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<strong style="font-weight: normal;"><em>Kecepatan sudut sesaat</em></strong> kita diperoleh dengan membandingkan <em>perpindahan sudut</em> dengan <em>selang waktu</em> yang sangat singkat. Secara matematis kita tulis :<br />
<a href="http://3.bp.blogspot.com/_5VCV_z7t198/S5ydjfcvp1I/AAAAAAAAAGA/BrE46CNbFmI/s1600-h/besaran-besaran-gerak-melingkar-05.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448402882274502482" src="http://3.bp.blogspot.com/_5VCV_z7t198/S5ydjfcvp1I/AAAAAAAAAGA/BrE46CNbFmI/s320/besaran-besaran-gerak-melingkar-05.jpg" style="cursor: pointer; float: left; height: 30px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a><br />
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Sesuai dengan kesepakatan ilmiah, jika ditulis kecepatan sudut maka yang dimaksud adalah kecepatan sudut sesaat. Kecepatan sudut termasuk besaran vektor. Vektor kecepatan sudut hanya memiliki dua arah <em>(searah dengan putaran jarum jam atau berlawanan arah dengan putaran jarum jam),</em> dengan demikian notasi vektor omega dapat ditulis dengan huruf miring dan cukup dengan memberi tanda positif atau negatif. Jika pada Gerak Lurus arah kecepatan sama dengan arah perpindahan, maka pada Gerak Melingkar, arah kecepatan sudut sama dengan arah perpindahan sudut.<br />
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<div style="text-align: justify;"><strong><em>*Percepatan Sudut</em></strong></div><div style="text-align: justify;">Dalam gerak melingkar, terdapat percepatan sudut apabila ada perubahan kecepatan sudut. Percepatan sudut terdiri dari percepatan sudut sesaat dan percepatan sudut rata-rata. <strong><em>Percepatan sudut rata-rata</em></strong> diperoleh dengan membandingkan perubahan kecepatan sudut dan selang waktu. Secara matematis ditulis :</div><div style="text-align: justify;"><a href="http://3.bp.blogspot.com/_5VCV_z7t198/S5yeZ-gVt5I/AAAAAAAAAGI/u6Y88WpcAqM/s1600-h/besaran-besaran-gerak-melingkar-06.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448403818324014994" src="http://3.bp.blogspot.com/_5VCV_z7t198/S5yeZ-gVt5I/AAAAAAAAAGI/u6Y88WpcAqM/s320/besaran-besaran-gerak-melingkar-06.jpg" style="cursor: pointer; float: left; height: 70px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a></div><br />
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<strong><em>Percepatan sudu</em></strong><strong><em>t sesaat</em></strong> diperoleh dengan membandingkan perubahan sudut dengan selang waktu yang sangat singkat. Secara matematis ditulis :<br />
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<a href="http://4.bp.blogspot.com/_5VCV_z7t198/S5yev83Wy0I/AAAAAAAAAGQ/qBzmfd3GSCw/s1600-h/besaran-besaran-gerak-melingkar-07.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448404195840805698" src="http://4.bp.blogspot.com/_5VCV_z7t198/S5yev83Wy0I/AAAAAAAAAGQ/qBzmfd3GSCw/s320/besaran-besaran-gerak-melingkar-07.jpg" style="float: left; height: 30px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a><br />
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<div style="text-align: justify;"><b>Gerak lurus dan gerak melingkar</b></div><div style="text-align: justify;"> </div><div style="text-align: justify;">Dalam gerak melingkar, arah kecepatan linear dan percepatan linear selalu menyinggung lingkaran. Karenanya, dalam gerak melingkar, kecepatan linear dikenal juga sebagai <em>kecepatan tangensial</em> dan percepatan linear disebut juga sebagai <em>percepatan tangensial</em>.</div><div style="text-align: justify;"> </div><div style="text-align: justify;"> </div><div style="text-align: justify;"><strong>Hubungan antara <em>Perpindahan Linear</em> dengan <em>Perpindahan sudut</em></strong></div><div style="text-align: justify;"> </div>Pada gerak melingkar, apabila sebuah benda berputar terhadap pusat/porosnya maka setiap bagian benda tersebut bergerak dalam suatu lingkaran yang berpusat pada poros tersebut. Misalnya gerakan roda yang berputar atau bumi yang berotasi. Ketika bumi berotasi, kita yang berada di permukaan bumi juga ikut melakukan gerakan melingkar, di mana gerakan kita berpusat pada pusat bumi. Ketika kita berputar terhadap pusat bumi, kita memiliki kecepatan linear, yang arahnya selalu menyinggung lintasan rotasi bumi.<br />
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Perhatikanlah gambar di bawah ini.<br />
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<a href="http://4.bp.blogspot.com/_5VCV_z7t198/S5yfaxq6_yI/AAAAAAAAAGY/8fQQZSnSAIM/s1600-h/besaran-besaran-gerak-melingkar-08.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448404931570237218" src="http://4.bp.blogspot.com/_5VCV_z7t198/S5yfaxq6_yI/AAAAAAAAAGY/8fQQZSnSAIM/s320/besaran-besaran-gerak-melingkar-08.jpg" style="cursor: pointer; float: left; height: 114px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a><br />
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ketika benda berputar terhadap poros O, titik A memiliki kecepatan linear (<em>v) </em> yang arahnya selalu menyinggung lintasan lingkaran. <div style="text-align: justify;">Hubungan antara <em>perpindahan linear</em> titik A yang menempuh lintasan lingkaran sejauh x dan perpindahan sudut <em>teta </em>(dalam satuan radian), dinyatakan sebagai berikut :</div><div style="text-align: justify;"><a href="http://2.bp.blogspot.com/_5VCV_z7t198/S5yft4Wo_UI/AAAAAAAAAGg/E4ELMKj1FZs/s1600-h/besaran-besaran-gerak-melingkar-09.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448405259781733698" src="http://2.bp.blogspot.com/_5VCV_z7t198/S5yft4Wo_UI/AAAAAAAAAGg/E4ELMKj1FZs/s320/besaran-besaran-gerak-melingkar-09.jpg" style="cursor: pointer; float: left; height: 29px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a></div><div style="text-align: justify;"><br />
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<div style="text-align: justify;">Di mana r merupakan jarak titik A ke pusat lingkaran/jari-jari lingkaran.</div><div style="text-align: justify;"> </div><div style="text-align: justify;"> </div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><strong>Hubungan antara <em>Kecepatan Tangensial</em> dengan <em>Kecepatan sudut</em></strong></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><a href="http://2.bp.blogspot.com/_5VCV_z7t198/S5ygFxzoO8I/AAAAAAAAAGo/cms3JKOP_dg/s1600-h/besaran-besaran-gerak-melingkar-10.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5448405670341131202" src="http://2.bp.blogspot.com/_5VCV_z7t198/S5ygFxzoO8I/AAAAAAAAAGo/cms3JKOP_dg/s320/besaran-besaran-gerak-melingkar-10.jpg" style="float: left; height: 120px; margin: 0pt 10px 10px 0pt; width: 320px;" /></a></div><div style="text-align: justify;"><br />
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Sumber : <a href="http://widiaprianto.blogspot.com/2009/11/persamaan-gerak.html">Widiaprianto</a> dan <a href="http://desianaputripermana.blogspot.com/2010/03/gerak-dengan-analisis-vektor.html">Desiana Putri</a>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com2tag:blogger.com,1999:blog-3291317472112582293.post-31491245800374525242011-09-14T22:37:00.000+07:002011-09-14T23:29:12.379+07:00Latihan Soal Gerak dengan Analisa Vektor II<div align="justify"><u><span style="color: red;"><strong>Pembahasan</strong></span></u></div><div align="justify"> a. Kecepatan partikel saat t = 2 sekon (kecepatan sesaat)</div><img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika1a.gif" /><br />
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b. Kecepatan rata-rata partikel saat t = 0 sekon hingga t = 2 sekon <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2011/05/kinemtk-1bx.gif" /><br />
2) Sebuah benda bergerak lurus dengan persamaan kecepatan : <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika2.gif" /><br />
<br />
Jika posisi benda mula-mula di pusat koordinat, maka perpindahan benda selama 3 sekon adalah...<br />
A. 10 m<br />
B. 20 m<br />
C. 30 m<br />
D. 40 m<br />
E. 50 m<br />
<span style="color: green;">(Sumber soal: Marthen Kanginan 2A, Kinematika dengan Analisis Vektor)</span><br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
Jika diketahui persamaan kecepatan, untuk mencari persamaan posisi integralkan persamaan kecepatan tersebut, masukkan waktu yang diminta. <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika2a.gif" /><br />
<br />
3) Grafik kecepatan (v) terhadap waktu (t) berikut ini menginformasikan gerak suatu benda. <br />
<img alt="" class="alignnone" src="http://fisikastudycenter.files.wordpress.com/2010/09/to_2_no_1.png" /><br />
Kecepatan rata-rata benda dari awal gerak hingga detik ke 18 adalah....<br />
A. 3 m/s.<br />
B. 6 m/s.<br />
C. 9 m/s.<br />
D. 12 m/s<br />
E. 15 m/s<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
Kecepatan rata-rata adalah perpindahan dibagi dengan selang waktu. Jika disediakan grafik v terhadap t seperti soal diatas, perpindahan bisa dicari dengan mencari luas di bawah kurva dengan memberi tanda positif jika diatas sumbu t dan tanda negatif untuk dibawah sumbu t. Luas = perpindahan = Luas segitiga + luas trapesium <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika3.gif" /><br />
<br />
4) Persamaan posisi sudut suatu benda yang bergerak melingkar dinyatakan sebagai berikut:<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4.gif" /><br />
<br />
Tentukan:<br />
a) Posisi awal <br />
b) Posisi saat t=2 sekon<br />
c) Kecepatan sudut rata-rata dari t = 1 sekon hingga t = 2 sekon<br />
d) Kecepatan sudut awal<br />
e) Kecepatan sudut saat t = 1 sekon<br />
f) Waktu saat partikel berhenti bergerak<br />
g) Percepatan sudut rata-rata antara t = 1 sekon hingga t = 2 sekon<br />
h) Percepatan sudut awal<br />
i) Percepatan sudut saat t = 1 sekon<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
a) Posisi awal adalah posisi saat t = 0 sekon, masukkan ke persamaan posisi<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4a.gif" /><br />
<br />
b) Posisi saat t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4b.gif" /><br />
<br />
c) Kecepatan sudut rata-rata dari t = 1 sekon hingga t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4c.gif" /><br />
<br />
d) Kecepatan sudut awal<br />
Kecepatan sudut awal masukkan t = 0 sekon pada persamaan kecepatan sudut. Karena belum diketahui turunkan persamaan posisi sudut untuk mendapatkan persamaan kecepatan sudut.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4d.gif" /><br />
<br />
e) Kecepatan sudut saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4e.gif" /><br />
<br />
f) Waktu saat partikel berhenti bergerak<br />
Berhenti berarti kecepatan sudutnya NOL.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4f.gif" /><br />
<br />
g) Percepatan sudut rata-rata antara t = 1 sekon hingga t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4g.gif" /><br />
<br />
h) Percepatan sudut awal<br />
Turunkan persamaan kecepatan sudut untuk mendapatkan persamaan percepatan sudut.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4h.gif" /><br />
<br />
i) Percepatan sudut saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4i.gif" /><br />
<br />
5) Sebuah partikel bergerak dari atas tanah dengan persamaan posisi Y = (−3t<sup>2</sup> + 12t + 6 ) m/s. Tentukan : <br />
a) Posisi awal partikel<br />
b) Posisi partikel saat t = 1 sekon<br />
c) Kecepatan awal partikel<br />
d) Percepatan partikel<br />
e) Waktu yang diperlukan partikel untuk mencapai titik tertinggi<br />
f) Lama partikel berada di udara<br />
g) Tinggi maksimum yang bisa dicapai partikel<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
a) Posisi awal partikel<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5a.gif" /><br />
<br />
b) Posisi partikel saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5b.gif" /><br />
<br />
c) Kecepatan awal partikel<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5c.gif" /><br />
<br />
d) Percepatan partikel. Turunkan persamaan kecepatan untuk mendapatkan persamaan percepatan:<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5d.gif" /><br />
<br />
e) Waktu yang diperlukan partikel untuk mencapai titik tertinggi<br />
Saat mencapai titik tertinggi kecepatan partikel adalah NOL.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5e.gif" /><br />
<br />
f) Lama partikel berada di udara<br />
Partikel berada diudara selama dua kali waktu untuk mencapai titik tertinggi yaitu 4 sekon.<br />
<br />
g) Tinggi maksimum yang bisa dicapai partikel<br />
Tinggi maksimum tercapai saat 2 sekon, masukkan ke persamaan posisi. <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5g.gif" /><br />
<br />
(Rintisan Awal)<br />
<div align="justify"><u><span style="color: red;"><strong>Pembahasan</strong></span></u></div><div align="justify"> a. Kecepatan partikel saat t = 2 sekon (kecepatan sesaat)</div><img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika1a.gif" /><br />
<br />
b. Kecepatan rata-rata partikel saat t = 0 sekon hingga t = 2 sekon <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika1b.png" /><br />
2) Sebuah benda bergerak lurus dengan persamaan kecepatan : <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika2.gif" /><br />
<br />
Jika posisi benda mula-mula di pusat koordinat, maka perpindahan benda selama 3 sekon adalah...<br />
A. 10 m<br />
B. 20 m<br />
C. 30 m<br />
D. 40 m<br />
E. 50 m<br />
<span style="color: green;">(Sumber soal: Marthen Kanginan 2A, Kinematika dengan Analisis Vektor)</span><br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
Jika diketahui persamaan kecepatan, untuk mencari persamaan posisi integralkan persamaan kecepatan tersebut, masukkan waktu yang diminta. <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika2a.gif" /><br />
<br />
3) Grafik kecepatan (v) terhadap waktu (t) berikut ini menginformasikan gerak suatu benda. <br />
<img alt="" class="alignnone" src="http://fisikastudycenter.files.wordpress.com/2010/09/to_2_no_1.png" /><br />
Kecepatan rata-rata benda dari awal gerak hingga detik ke 18 adalah....<br />
A. 3 m/s.<br />
B. 6 m/s.<br />
C. 9 m/s.<br />
D. 12 m/s<br />
E. 15 m/s<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
Kecepatan rata-rata adalah perpindahan dibagi dengan selang waktu. Jika disediakan grafik v terhadap t seperti soal diatas, perpindahan bisa dicari dengan mencari luas di bawah kurva dengan memberi tanda positif jika diatas sumbu t dan tanda negatif untuk dibawah sumbu t. Luas = perpindahan = Luas segitiga + luas trapesium <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika3.gif" /><br />
<br />
4) Persamaan posisi sudut suatu benda yang bergerak melingkar dinyatakan sebagai berikut:<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4.gif" /><br />
<br />
Tentukan:<br />
a) Posisi awal <br />
b) Posisi saat t=2 sekon<br />
c) Kecepatan sudut rata-rata dari t = 1 sekon hingga t = 2 sekon<br />
d) Kecepatan sudut awal<br />
e) Kecepatan sudut saat t = 1 sekon<br />
f) Waktu saat partikel berhenti bergerak<br />
g) Percepatan sudut rata-rata antara t = 1 sekon hingga t = 2 sekon<br />
h) Percepatan sudut awal<br />
i) Percepatan sudut saat t = 1 sekon<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
a) Posisi awal adalah posisi saat t = 0 sekon, masukkan ke persamaan posisi<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4a.gif" /><br />
<br />
b) Posisi saat t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4b.gif" /><br />
<br />
c) Kecepatan sudut rata-rata dari t = 1 sekon hingga t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4c.gif" /><br />
<br />
d) Kecepatan sudut awal<br />
Kecepatan sudut awal masukkan t = 0 sekon pada persamaan kecepatan sudut. Karena belum diketahui turunkan persamaan posisi sudut untuk mendapatkan persamaan kecepatan sudut.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4d.gif" /><br />
<br />
e) Kecepatan sudut saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4e.gif" /><br />
<br />
f) Waktu saat partikel berhenti bergerak<br />
Berhenti berarti kecepatan sudutnya NOL.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4f.gif" /><br />
<br />
g) Percepatan sudut rata-rata antara t = 1 sekon hingga t = 2 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4g.gif" /><br />
<br />
h) Percepatan sudut awal<br />
Turunkan persamaan kecepatan sudut untuk mendapatkan persamaan percepatan sudut.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4h.gif" /><br />
<br />
i) Percepatan sudut saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika4i.gif" /><br />
<br />
5) Sebuah partikel bergerak dari atas tanah dengan persamaan posisi Y = (−3t<sup>2</sup> + 12t + 6 ) m/s. Tentukan : <br />
a) Posisi awal partikel<br />
b) Posisi partikel saat t = 1 sekon<br />
c) Kecepatan awal partikel<br />
d) Percepatan partikel<br />
e) Waktu yang diperlukan partikel untuk mencapai titik tertinggi<br />
f) Lama partikel berada di udara<br />
g) Tinggi maksimum yang bisa dicapai partikel<br />
<br />
<u><span style="color: red;"><strong>Pembahasan</strong></span></u><br />
a) Posisi awal partikel<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5a.gif" /><br />
<br />
b) Posisi partikel saat t = 1 sekon<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5b.gif" /><br />
<br />
c) Kecepatan awal partikel<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5c.gif" /><br />
<br />
d) Percepatan partikel. Turunkan persamaan kecepatan untuk mendapatkan persamaan percepatan:<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5d.gif" /><br />
<br />
e) Waktu yang diperlukan partikel untuk mencapai titik tertinggi<br />
Saat mencapai titik tertinggi kecepatan partikel adalah NOL.<br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5e.gif" /><br />
<br />
f) Lama partikel berada di udara<br />
Partikel berada diudara selama dua kali waktu untuk mencapai titik tertinggi yaitu 4 sekon.<br />
<br />
g) Tinggi maksimum yang bisa dicapai partikel<br />
Tinggi maksimum tercapai saat 2 sekon, masukkan ke persamaan posisi. <br />
<img alt="" src="http://fisikastudycenter.files.wordpress.com/2010/12/p11kinematika5g.gif" /><br />
<br />
(Rintisan Awal)<br />
<br />
<br />
Sumber : <a href="http://fisikastudycenter.com/content/view/31/9/">Fisika Study Center </a>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com1tag:blogger.com,1999:blog-3291317472112582293.post-64409481056963562322011-09-14T18:17:00.000+07:002011-09-14T23:29:12.379+07:00Latihan Soal Gerak dengan Analisa Vektor<b>Soal 1.</b><br />
<div style="text-align: justify;">Suatu partikel mempunyai persamaan gerak x = 2t<sup>3</sup>+4t<sup>2</sup>-t+5</div><div style="text-align: justify;">a. hitung vektor kecepatan</div><div style="text-align: justify;">b. hitung vektor percepatan</div><div style="text-align: justify;">c. hitung kecepatan saat t=2s</div><div style="text-align: justify;">d. hitung kecepatan rata2 antara t=1s s/d t=2s</div><div style="text-align: justify;">e. hitung percepatan sesaat pada t=2s</div><div style="text-align: justify;">Penyelesaian</div><div style="text-align: justify;">a. kecepatan adalah turunan pertama dari persamaan lintasan ---> v = 6t<sup>2</sup>+8t-1</div><div style="text-align: justify;">b. percepatan adalah turunan pertama dari kecepatan -----> a = 12t+8</div><div style="text-align: justify;">c. kecepatan pada saat t=2s, v = 6(2)<sup>2</sup>+8.2-1 = 24+16-1 = 39</div><div style="text-align: justify;">d. kecepatan adalah v= Δx/Δt</div><div style="text-align: justify;">---------> x<sub>2</sub> = 2(2)<sup>3</sup> + 4(2)<sup>2 </sup>- 2 + 5 = 16+16-2+5 = 35 dan</div><div style="text-align: justify;">---------> x<sub>1</sub> = 2(1)<sup>3</sup> + 4(1)<sup>2 </sup>- 1 + 5 = 2+4-1+5 = 10</div><div style="text-align: justify;">---------> Δx = x<sub>2</sub>-x<sub>1</sub> = 35-10 = 25</div><div style="text-align: justify;">---------> Δt = 2-1 =1</div><div style="text-align: justify;">--------->jadi --> kecepatan rata<sup>2</sup> diantara t=1 dan t=2 adalah v = 25/1 = 25</div><div style="text-align: justify;">e. percepatan sesaat t=2 adalah a = 12(2)+8 = 32</div><hr /><b>Soal 2.</b><br />
<div style="text-align: justify;">Partikel dengan persamaan gerak r=(2t<sup>3</sup>-4t)i + (3t<sup>3</sup>-2t<sup>2</sup>)j</div><div style="text-align: justify;">a. Tentukan vektor kecepatan</div><div style="text-align: justify;">b. Tentukan vektor percepatan</div><div style="text-align: justify;">c. Tentukan kecepatan pada saat t=2s</div><div style="text-align: justify;">d. Tentukan percepatan sesaat t=1s</div><div style="text-align: justify;">Penyelesaian :</div><div style="text-align: justify;">a. ---------> v= (6t<sup>2</sup>-4)i + (9t<sup>2</sup>-4t)j</div><div style="text-align: justify;">b. ---------> a = (12t)i + (18t-4)j</div><div style="text-align: justify;">c. ---------> t = 2 ---------> v = 12.2 i + (18.2-4) j = 24 i + 32 j ---------> besar v = √(24<sup>2</sup>+32<sup>2</sup>) = 40</div><div style="text-align: justify;">--------->untuk menentukan arah v; tg α = 32/24 ---------> α = arc tg (32/24) = 53,13<sup>o</sup></div><div style="text-align: justify;">d. ---------> t = 1 ---------> a = 12 i + 14 j --------->besar a = √(12<sup>2</sup>+14<sup>2</sup>) = 18.44</div><div style="text-align: justify;">---------> untuk menentukan arah a; tg α = 14/12 ---------> α = arc tg(14/12) = 49,4<sup>o</sup></div><div style="text-align: justify;"><br />
</div><hr /><b>Soal 3</b><br />
<br />
Suatu partikel dengan posisi R<sub>1</sub> = 6i - 3j berpindah keposisi R<sub>2</sub> = 3i + 4j dalam waktu 3 detik. Tentukan :<br />
a). besar perpindahan partikel<br />
b). kecepatan rata2 partikel<br />
Penyelesaian :<br />
a. Perpindahan partikel tersebut adalah R<sub>2</sub> - R<sub>1</sub> =(3i+4j) - (6i - 3j) = - 3i + 7j yang besarnya = √[(-3)<sup>2</sup> + (7)<sup>2</sup> ] = √58<br />
b. kecepatan = Δs/Δt = (√58)/3<br />
<hr /><b>Soal 4</b><br />
Gerak suatu partikel dinyatakan dalam persamaan R = 4t<sup>2</sup> + 6t -3 ; Tentukan :<br />
a). kecepatan rata-rata partikel untuk selang waktu t = 1 s sampai dengan t = 4 s<br />
b). kecepatan sesaat pada t = 3 s<br />
Penyelesaian :<br />
a). R<sub>t=4</sub> = 4(4)<sup>2</sup> + 6(4) - 3 = 85 ; R<sub>t=1</sub> = 4(1)<sup>2</sup> + 6(1) - 3 = 7 ; Δs = 85-7 = 78 ; Δt = 3 ; v = Δs/Δt = 78/3 = 26<br />
b). v = dv/dt = 8t + 6 ; untuk t = 3 maka v = 8(3) + 6 = 30<br />
<hr /><b>Soal 5</b><br />
Persamaan posisi suatu gerak adalah r = (2t<sup>2</sup> + t + 2)i + 2tj. Pada saat posis r = 12i + 4j, tentukan kecepatannya!.<br />
Penyelesaian :<br />
<img align="left" border="0" height="160" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/j-29.jpg" width="617" /><br />
<br />
<br />
<br />
<br />
<br />
<br />
<hr /><b>Soal 6</b><br />
<div style="text-align: justify;">Bola ditendang dengan kecepatan awal 30m/s dengen sudut elevasi 45<sup>o</sup></div><div style="text-align: justify;">a. Tentukan waktu yang diperlukan bola untuk mencapai ketinggian maximum</div><div style="text-align: justify;">b. Tentukan tinggi bola maximum</div><div style="text-align: justify;">c. Tentukan jarak jatuh bola</div><div style="text-align: justify;">d. Tentukan lama bola di udara</div><div style="text-align: justify;">e. Tentukan jarak terjauh yang dicapai bola</div><div style="text-align: justify;">Penyelesaian :</div><div style="text-align: justify;">Bola mengalami 2 gerak, yaitu gerak vertikal (GLBB) dan gerak mendatar (GLB). Gerak mendatar dengan V<sub>ox</sub>=V<sub>o</sub> cos 45 dan gerak vertikal dengan V<sub>oy</sub>=V<sub>o</sub> sin 45.</div><div style="text-align: justify;">Pada arah mendatar (GLB) ---> S<sub>x</sub> = V<sub>ox</sub>.t dan pada arah vertikal (GLBB) berlaku V<sub>y</sub> = V<sub>o</sub> sin 45 - 10t dan S<sub>y</sub> = V<sub>o</sub> sin 45. t - 5t<sup>2.</sup></div><div style="text-align: justify;">a. Pada saat mencapai ketinggian maximum, maka V<sub>y</sub>=0 ---> 0 = Vo sin 45 - 10t ---> t = 30 sin 45 / 10 =(3√2)/2 s</div><div style="text-align: justify;">b. Tinggi bola maximum Sy = 30 sin 45 . t - 5 t<sup>2</sup> --->Sy = 30 sin 45 . (3√2)/2 - 5 ((3√2)/2)<sup>2</sup> = 22,5 m</div><div style="text-align: justify;">d. waktu yang diperlukan dari saat bola ditendang sampai ke puncak <span style="text-decoration: underline;"><b>sama</b></span> dengan waktu dari puncak kembali ke tanah, jadi waktu bola berada di udara adalah 2x(3√2)/2 = 3√2 s</div><div style="text-align: justify;">c. Jarak bola jatuh S<sub>x</sub> = V<sub>ox</sub>. t = 30 cos 45 . 3√2 = 90 m</div><div style="text-align: justify;">d. S<sub>x</sub> = Vo<sup>2</sup> sin 2α / g <------ nilai Sx akan maximal bila nilai sin 2α = 1; jadi nilai α = 45, jadi 90 m adalah jarah terjauh yang dicapai bola saat jatuh.</div><br />
<hr /><b>Soal 7</b><br />
Suatu partikel dengan posisi R<sub>1</sub> = 6i - 3j berpindah keposisi R<sub>2</sub> = 3i + 4j dalam waktu 3 detik. Tentukan :<br />
a). besar perpindahan partikel<br />
b). kecepatan rata2 partikel<br />
Penyelesaian :<br />
a. Perpindahan partikel tersebut adalah R<sub>2</sub> - R<sub>1</sub> =(3i+4j) - (6i - 3j) = - 3i + 7j yang besarnya = √[(-3)<sup>2</sup> + (7)<sup>2</sup> ] = √58<br />
b. kecepatan = Δs/Δt = (√58)/3<br />
<hr /><b>Soal 8</b><br />
Gerak suatu partikel dinyatakan dalam persamaan R = 4t<sup>2</sup> + 6t -3 ; Tentukan :<br />
a). kecepatan rata-rata partikel untuk selang waktu t = 1 s sampai dengan t = 4 s<br />
b). kecepatan sesaat pada t = 3 s<br />
Penyelesaian :<br />
a). R<sub>t=4</sub> = 4(4)<sup>2</sup> + 6(4) - 3 = 85 ; R<sub>t=1</sub> = 4(1)<sup>2</sup> + 6(1) - 3 = 7 ; Δs = 85-7 = 78 ; Δt = 3 ; v = Δs/Δt = 78/3 = 26<br />
b). v = dv/dt = 8t + 6 ; untuk t = 3 maka v = 8(3) + 6 = 30<br />
<hr /><b>Soal 9</b><br />
Bola A dan B dilempar dengan kecepatan awal Vo = 25 m/s. Bola A dengan sudut elevasi 30<sup>o </sup>dan bola B dengan elevasi 60<sup>o</sup>. Bola manakah yang jat uh lebih jauh?<br />
Penyelesaian :<br />
Jarak jatuhnya bola memenuhi persamaan <b>X = Vo<sup>2</sup>sin 2α /g</b><br />
1. Pada sudut elevasi 30<sup>o</sup> ---------> 25<sup>2</sup> sin 60 /10 = 54.1 m<br />
2. Pada sudut elevasi 60<sup>o</sup> ---------> 25<sup>2</sup> sin 120 /10 = 54.1 m<br />
Jadi bola A dan B akan jatuh pada tempat yang sama...<br />
<hr /><b>Soal 10</b><br />
Suatu bom dijatuhkan dari pesawat yang bergerak mendatar dengan kecepatan 200m/s pada ketinggian 600 m dari permukaan tanah datar. Bom dijatuhkan diatas titik A dan jatuh di titik B. Tentukan jarak antara A dan B !<br />
Penyelesaian :<br />
Bom yang dijatuhkan dari sebuah pesawat mendatar mengalami dua gerak yaitu gerak mendatar GLB dan gerak jatuh bebas GLBB. Untuk gerak mendatar berlaku :<br />
Sx = V<sub>pesawat</sub> . t<br />
Sedang gerak jatuh bebas berlaku Sy = Vo.t + ½gt<sup>2</sup> ; Vo = 0 ; Sy = 600 m; maka dapat dihitung t yang diperlukan bom samapai menyentuh tanah sbb :<br />
600 = 0 + ½ 10 t<sup>2</sup> ; t = √ (600/5) = √ 120 s<br />
S<sub>AB</sub> = V<sub>pesawat</sub> . t = 200 . √ 120 = 2190,9 m<br />
<hr /><b>Soal 11.</b><br />
Suatu benda berputar memenuhi persamaan ω = 8t<sup>2</sup> + 6. Tentukan :<br />
a). percepatan sudut rata2 antara t = 1 s dan t = 6 s<br />
b). percepatan sudut sesaat pada t = 4 s<br />
Penyelesaian :<br />
a). α = Δω / Δt ; ω<sub>t=6</sub> = 8 (6)<sup>2</sup> + 6 = 294 rad/s ; ω<sub>t=1</sub> = 8 (1)<sup>2</sup> + 6 = 14 rad/s; Δω = 294-14 = 280 rad/s; Δt = 6-1= 5 s; α =280/5 = 56 rad/s<sup>2</sup><br />
b). percepatan adalah α = dω/dt = 16 t ; α pada t = 4 adalah α = 16.4 =64 rad/s<sup>2</sup><br />
<hr /><b>Soal 12</b><br />
Kecepatan suatu putaran roda dinyatakan sebagai ω = 2t<sup>2</sup> - 4t + 6 ; Hitung percepatan sudut rata2 antara t = 1 s s/d t = 3 s.<br />
Penyelesaian :<br />
α = Δω/Δt ---> ω<sub>3</sub> = 2.3<sup>2</sup> - 4.3 + 6 = 12 ; ω<sub>1</sub> = 2.1<sup>2</sup> - 4.1 + 6 = 4 ; α = Δω/Δt = (12-4)/(3-1) = 4 rad/s<sup>2</sup><br />
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<hr /><b> Soal 13</b> Pesawat terbang mendatar pada ketinggian 500 m dengan v = 250 m/s menjatuhkan bom. Bom dijatuhkan diatas titik A dan jatuh di titik B. Tentukan jarak antara A dan B !<br />
Penyelesaian :<br />
Bom yang dijatuhkan dari sebuah pesawat mendatar mengalami dua gerak yaitu gerak mendatar GLB dan gerak jatuh bebas GLBB. Untuk gerak mendatar berlaku :<br />
Sx = V<sub>pesawat</sub> . t = 250 . t<br />
Sedang gerak jatuh bebas berlaku Sy = Vo.t + ½gt<sup>2</sup> ; Vo = 0 ; Sy = 500 m; maka dapat dihitung t yang diperlukan bom samapai menyentuh tanah sbb :<br />
500 = 0 + ½ 10 t<sup>2</sup> ; t = √ (500/5) = √ 100 s = 10 s<br />
S<sub>AB</sub> = V<sub>pesawat</sub> . t = 250 . 10 = 2500 m<br />
<hr /><b>Soal 14</b><br />
Sebuah peluru ditembakkan dengan kecepatan awal 100 m/s dengan sudut elevasi 45<sup>o</sup> . Berapa ketinggian peluru pada saat t = 3√2 s. g = 10 m/s<sup>2</sup><br />
Penyelesaian :<br />
Voy = Vo sin 45<br />
Sy = Voy. t - ½ g t<sup>2</sup> = 100 sin 45 . 3√2 - 5. ( 3√2)<sup>2</sup> = 50√2 . 3√2 - 5 . 18 = 210 m<br />
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<hr /><b>Soal 15</b><br />
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Jika gerak parabola diketahui V<sub>o</sub>, g dan α, Tentukan tinggi maximum dalam fungsi Vo, g dan α!<br />
Penyelesaian :<br />
<img align="left" border="0" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/j-27.jpg" /><br />
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<hr /><b> Soal 28.</b> Sebuah partikel berotasi dengan jari-jari 10 cm dengan persamaan posisi sudut Θ = (t<sup>2</sup> + 2t) rad, Tentukan busur lingkaran yang ditempuh, kecepatan sudut, percepatan sudutnya, dan kecepatan liniernya pada pada saat t=2s.<br />
Penyelesaian :<br />
<img align="left" border="0" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/j-28.jpg" /><br />
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<hr /><b>Soal 29.</b><br />
Persamaan posisi suatu gerak adalah r = (2t<sup>2</sup> + t + 2)i + 2tj. Pada saat posis r = 12i + 4j, tentukan kecepatannya!.<br />
Penyelesaian :<br />
<img align="left" border="0" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/j-29.jpg" /><br />
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<hr /><b>Soal 30.</b><br />
Dua benda A dan B, masing-masing bermasa m jatuh bebas dari ketinggian h dan 2h meter. Jika A menyentuh tanah dengan kecepatan v m/s, Tentukan energi kinetik benda B saat menyentuh tanah!.<br />
Penyelesaian :<br />
<img align="left" border="0" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/j-30.jpg" /><br />
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<hr /><b>Soal 31.</b><br />
Sebuah benda bergerak memenuhi persamaan r = 2t<sup>2</sup> + 4t - 3, r perpindahan dalam satuan m dan t waktu dalam s, maka kecepatan benda saat t=3s adalah ....<br />
Penyelesaian :<br />
v = dr/dt = 4t + 4 ------> pada saat t = 3 maka v = 4 (3) + 4 = 16 m/s<br />
<hr /><b>Soal 32</b><br />
Sebuah peluru ditembakkan dengan sudut elevasi 45° dan kecepatan awal 100 m/s. Pada saat t = 3√2 s dan percepatan gravitasi 10 m/s<sup>2</sup>, maka ketinggian peluru tersebut adalah.......<br />
Penyelesaian :<br />
S<sub>y</sub> = V<sub>oy</sub>.t - ½gt<sup>2</sup> = 100 sin(45) . 3√2 - ½. 10 . (3√2)<sup>2</sup> = 210 m<br />
<hr /><b>Soal 33</b><br />
Sebuah roda berputar dengan kecepatan sudut dinyatakan dalam persamaan ω = 2t<sup>2</sup> -2 t +6, ω kecepatan sudut dalam rad/s dan t waktu dalam second, percepatan sudut rata-rata untuk antara t =0 dengan t= 2s adalah<br />
Penyelesaian :<br />
α = dω/dt = (ω<sub>2</sub> - ω<sub>1</sub> )/(t<sub>2</sub>-t<sub>1</sub>) = ((2.2<sup>2</sup> - 2.2 + 6)-(2.0<sup>2</sup> - 2.0 + 6))/(2-0) = 4/2 = 2 rad/s<sup>2</sup><br />
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<hr /><b>Soal 34</b><br />
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Sebuah batu 0,5 kg di jatuhkan dari ketinggian 20 m. Tentukan kecepatan batu tersebut sesaat sebelum menyentuh tanah.<br />
Penyelesaian :<br />
V = √2gh = √ (2.10.20) = 20 m/s<br />
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<hr /><b>Soal 35</b><br />
<img align="left" border="0" src="http://www.bimbel-fisika.com/images/stories/2.1KinematikadgnAnalisisVektor/2.1%20-%2035.jpg" /><br />
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<b>Sumber : <a href="http://www.bimbel-fisika.com/index.php?option=com_content&view=article&id=60&Itemid=105">Bimbel Fisika </a></b>FisikaSmaddahttp://www.blogger.com/profile/13355471818419565273noreply@blogger.com0