A uniform solid cylinder of mass `2 kg` and radius `0.2 m` is released from rest at the top of a semicircular track of radius `0.7 m` cut in a block of mass `M = 3 kg` as shown in Fig. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping. Based on the above information, answer the following questions:

The distance moved by the block when the cylinder reaches the bottom of the track is

Options

A. `R - r`
B. `(m(R - r))/(M + m)`
C. `M/(M + m) (R - r)`
D. `M/(M - m)r`

Answer

B