A block of mass M with a semi circular track of radius 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. The cylinder slips on the semicurcular frictionless track. How far has the block moved when the cylinder reaches the bottom of the track ? How fast is the block moving when the cylinder reaches the bottom of the track ?

Answer

`(m)/(m+M)(R-r) ; sqrt((2g(R-r))/(M(m+M)))`