In the following figure, a body of mass m is tied at one end of a light string and this string is wrapped around the solid cylinder of mass M and radius R. At the moment t = 0 the system starts moving. If the friction is negligible, angular velocity at time t would be

Options

A. `(mgRt)/((M+m))`
B. `(2Mg t)/((M+2m))`
C. `(2mg t)/(R(M-2m))`
D. `(2mg t)/(R(M+2m))`

Answer

D