Question

In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mass '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 for correct statement.


(i) Acceleration of the centre of mass of ring is $\frac{g}{3}$
(ii) Acceleration of the hanging particle is $\frac{2g}{3}$
(iii) Frictional force (on the ring) acts along forward direction
(iv) Frictional force (on the ring) acts along backward direction

• A. Statement (i) and (ii) only
• B. Statement (ii) and (iii) only
• C. Statement (iii) and (iv) only
• D. None of these

Answer 1

The correct option is A Statement (i) and (ii) only

Equation of motion


Angular acceleration $\alpha =\frac{(T-F)R}{m{R}^2}$
$v_m=v_c+R\omega ;a_2=a_1+R\alpha$
also $a_2=2R\alpha (\because a_1=R\alpha )$