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Question

The inclined surfaces shown in Column I are sufficiently rough. In Column II direction and magnitudes of frictional forces are mentioned. Match the two columns .

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Solution

(A) Body rolling upwards, i.e. body is moving in upward direction with the help of rolling motion.So, friction obviously acting in upward direction to support the upward rolling motion. And this case the required value is same as they acting frictional forces.
(B) The body is rolling its position friction prevents any linear motion of its centre of mass. Hence, in this case acting frictional force is maximum and it stops downward motion so friction acting upward direction.
(C)The body keep transnational motion at position hence, maximum frictional force acting on the body.As it stop upward motion friction acting in downward direction.
(D) The body keep transnational motion at position, hence maximum frictional force acting on the body.As it stop downward motion.

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