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A block of mass M, with a semicircular t...

A block of mass M, with a semicircular track of radius R rest on a horizontal frictionless surface. A uniform cylinder of radius r and mass m is released from rest at the point of the semicircular track. The cylinder slips in the semicircular frictionless track. How far the block moved when the cylinder reaches the bottom of the track ?

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The correct Answer is:
`(m)/(M+m)(R-r)`
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