Question: In some situations, for example the rolling-coin setup in Problem 22, the velocity of the CM of a rolling object changes direction as time goes

In some situations, for example the rolling-coin setup in Problem 22, the velocity of the CM of a rolling object changes direction as time goes by. Consider now a uniform sphere that rolls on the ground without slipping. Is it possible for the velocity of its CM to change direction? Justify your answer rigorously.

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Intuitively it is fairly clear that the sphere cannot change direction But it is a little ... View full answer

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