Question

A block of mass M with semicircular track of radius R rests on a horizontal smooth surface. A cylinder of radius r slips on the track. If the cylinder is released from rest from top, the distance moved by block when cylinder reaches the bottom of the track is –

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

Answer 1

Answer: (B)

$\frac { M ( R - r ) } { M + m }$

Answer 2

COM of system (Block + cylinder) remains at rest. If x is the distance moved by block when cylinder moves from top to bottom (M + m) x = m (R – r)

x =