N 3 meff mr 2 2 tt r a n s n 2 ar r k rads 3m

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Unformatted text preview: Tr o t = Jo ! 2 = $ ! 2 = m r2 !2 2 2# 2 & 4 1 1 ˙ ˙ m x 2 = m r2 ! 2 2 2 1 1 3 ˙ ˙ ˙ T = Tr o t + Tt r a n s = m r 2! 2 + m r2 !2 = m r 2! 2 4 2 4 2 "1 22 Potential energy: U = 2# k[( a + r )! ] $ = k( a + r) ! % 2 Conservation of energy: T + U = Constant d (T + U ) = 0 dt d "3 ˙ mr 2! 2 + k (a + r) 2! 2 $ = 0 #4 % dt 3 ˙ ˙˙ ˙ mr 2 2!! + k (a + r)2 2!! = 0 4 3 ˙ mr 2!˙ + 2 k (a + r)2 ! = 0 2 Natural...
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