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Unformatted text preview: Prob. 1 Prob. 2 Prob. 3 TOTAL E QUATION S HEET v P = ˙ x i + ˙ y j = v P e t = ˙ R e R + R ˙ ! e v B = v A + AB " r B / A = v A + v B / A ( ) rel + " r B / A a B = a A + AB " r B / A # $ AB 2 r B / A = a A + a B / A ( ) rel + " r B / A + 2 " v B / A ( ) rel + " " r B / A ( ) dv dt = v dv ds de dt = " e = d " dt F ! = ma G ; M A ! = I A + mr G / A # a A ; I A = mk A 2 ; I A = I G + md 2 T 1 + V 1 + U 1 $ 2 ( nc ) = T 2 + V 2 ; T = 1 2 mv A 2 + 1 2 I A % 2 V sp = 1 2 k & 2 ; V gr = mgh U 1 $ 2 ( nc ) = F B • e t ( ) ds B 1 2 ’ + M d ( 1 2 ’ F ! ( ) ext dt 1 2 ’ = mv ! ( ) 2 ) mv ! ( ) 1 e = v Bn 2 ) v An 2 v An 1 ) v Bn 1 M A ! ( ) ext dt 1 2 ’ = H A 2 ) H A 1 ; H A = r i / A # m i v i ( ) ! ; H A = I A M !! x + K x = F ! !! x + n 2 x = F / M x C t ( ) = C cos n t + S sin n t G L I G = 1 12 mL 2 I G = 1 2 mR 2 R G a P = !! x i + !! y j = ! v P e t + v P 2 e n = !! R " R ! # 2 ( ) e R + R !! + 2 ! R ! ( ) e...
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 Fall '09
 Trigraph, proper vector notation, ext dt

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