In the given situation a uniform rigid body (disc or solid sphere or hollow sphere) of mass m and radius R having moment of inertia I is performing rolling motion on a rough horizontal surface as show

Question

In the given situation a uniform rigid body (disc or solid sphere or hollow sphere) of mass m and radius R having moment of inertia I is performing rolling motion on a rough horizontal surface as shown in List-I. A horizontal force is applied on the rigid body at different locations. In List-II the direction of friction force is defined according to the applied force. Match them correctly.

List - I	List - II
(P)	(1) Friction will act forward
(Q)	(2) Friction will act backward
(R)	(3) Friction will be zero
(S)	(4) Can't determine direction of friction

TestHub · Accepted Answer

For a horizontal force at height x above the centre, friction acts forward if $x > \frac{I}{m R}$ , backward if $x < \frac{I}{m R}$ , and vanishes if $x = \frac{I}{m R}$

Comparing each applied-force location in List-I: P → 1, Q → 2, R → 4, S → 2

Answer (C)

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