In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mas 'm' attached through a string Which is wounded on the ring when the system is released the ring rolls without slipping consider the following statements and choose the correct option.

(1)acceleration of the centre of mass of ring is `(2g)/3`
(2) acceleration of the hanging particle is `(4g)/3`
(3) frictional force (on the ring ) acts along forward direction
(4) Frictional force (on the ring) acts along backward direction

Options

A. Statement (1) and (2)only
B. Statement (2) and (3) only
C. Statement (1) and (4) only
D. none of these

Answer

D

Explanation

Applying Newton's 2law on
`block : mg-T=2ma`
considering force and torque on the ring
`Txxr-fxxr=mralpha`
`a=r alpha`
`T+F=ma`
solving (2),(3)and) (4),
`f=0 T=ma :. From (1)`
`a=g/3`