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Q.

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

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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 up the incline while descending

d

down the incline while ascending as well as descending

answer is B.

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Detailed Solution

When it rolls up it push the ground downward , friction is upward whereas while rolling down applied force is downward, friction is a upward.
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A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions).  The directions of the frictional force acting on the cylinder are