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Question

A solid sphere spinning about a horizontal axis with angular velocity ω is placed on a horizontal surface. Subsequently, it rolls without slipping with an angular velocity of?

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Solution

There is no external torque about point O as a force of & mg will pass through that point. So, angular momentum conservation about point O,
Lin=Lf
Let finally ball acquired horizontal velocity =v& W as Wf
as it is pure rolling v=RWf

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