A uniform solid cylinder of mass m and radius 2R rests on a horizontal table. A string attached to it passes over a pulley (disc) of mass m and radius R that is mounted on a fricitonaless axle through its centre . A block of mass m is suspended from the free end of the spring . The string does not slip over the pulley surface and the cylinder rolls without slipping on the table.

Force of friction acting on the cylinder is
A. `(2mg)/(3)`
B. `(3mg)/(2)`
C. `(mg)/(3)`
D. `(mg)/(6)`

A uniform solid cylinder of mass m and radius 2R rests on a horizontal table. A string attached to it passes over a pulley (disc) of mass m and radius R that is mounted on a fricitonaless axle through its centre . A block of mass m is suspended from the free end of the spring . The string does not slip over the pulley surface and the cylinder rolls without slipping on the table.

Acceleration of the block is
A. `(g)/(3)`
B. `(3g)/(4)`
C. `(2g)/(3)`
D. `(5g)/(7)`