Rotational MotionHard

Question

A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throuhout these motions). The direction of the frictional force acting on the cylinder are

Options

A.up the incline while ascending and down the incline while descending
B.up the incline while ascending as well as descending
C.down the incline while ascending and the up the incline while sescending
D.down the incline while ascending as well as descending

Solution

mg sin θ component is always down the plane whether it is rolling up or rolling down. Therefore, for no sliping, sense of angular acceleration should also be same in both the cases. Therefore, force of friction f always act upwards

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