Question

A block of mass $M$ with a semicircular track of radius $R$ rests on a horizontal frictionless surface. A uniform cylinder of radius $r$ and mass $m$ is released from rest from the top point A. The cylinder slips on these semicircular frictionless tracks.

The velocity of the block when the cylinder reaches point (B) is :

• A. $M\sqrt{\frac{2g(R-r)}{M(M+m)}}$
• B. $m\sqrt{\frac{2g(R-r)}{m(M+m)}}$
• C. $m\sqrt{\frac{2g(R-r)}{M(M+m)}}$
• D. $M\sqrt{\frac{2g(R+r)}{M(M+m)}}$

Answer 1

The correct option is C $m\sqrt{\frac{2g(R-r)}{M(M+m)}}$