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A cockroach rides the rim of a rotating ...

A cockroach rides the rim of a rotating merry-go-round. If the angular speed of this system (merry-go-round + cockroach) is constant, does the cockroach have (a) radial acceleration and (b) tangential acceleration? If `omega` is decreasing, does the cockroach have ( c) radial acceleration and (d) tangential acceleration?

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(a) yes, (b) no, ( c) yes, (d) yes.
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RESNICK AND HALLIDAY-RIGID BODY DYNAMICS - I-CHECKPOINT
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