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Unformatted text preview: r is its position vector. Now, we know that = , v I = u e r , r = f e r where e r is a unit vector in the radial direction. Hence, a = 2 k u e r + k ( k f e r ) = 2 u e + 2 f k e = 2 u e 2 f e r where e is a unit vector in the circumferential direction. Finally, we can express u as a function of and f from the given information. That is, we know that u = dr dt = dr d d dt = w f 1 2 f / 2 W = f Therefore, the collars acceleration is a = 2 f e r + 2 2 f e...
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This note was uploaded on 12/16/2010 for the course AME 301 at USC.