A block of mass \( \mathrm{M} \) with a semicircular track of radiu...

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A block of mass \( \mathrm{M} \) with a semicircular track of radius \( \mathrm{R} \), rests on a horizontal frictionless surface. A uniform cylinder of radius \( r \) and mass \( m \) is released from rest at the top point A (see Fig). The cylinder slips on the semicircular frictionless track. How far has the block moved when the cylinder reaches the bottom (point B) of the track? How fast is the block moving when the cylinder reaches the bottom of the track?
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