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A small body A is fixed to the inside of...

A small body A is fixed to the inside of a thin rigid hoop of radius R and mass equal to that of the body A. The hoop rolls without slipping over a horizontal plane, at the moments when the body A gets into the lower position, the centre of the hoop moves with velocity `v_0`(figure). At what values of `v_0` will the hoop move without bouncing?

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The correct Answer is:
`sqrt(8gr)`
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