A particle moves so that its position vector ˜r at time t is = ˜r ˜a coswt +˜bsinwt, where w is a constant and ˜a and ˜b are constant vectors. Show that (a) ˜ ˜ r × r˙ is independent of t, ˜
(a)
(b)
The acceleration is everywhere towards the origin and proportional to
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