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A cylinder rolls up an inclined plane, r...

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

A

Up the incline while ascending and down the incline whilse 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

Text Solution

Verified by Experts

The correct Answer is:
B

During upward journey `v_(CM)` decreases due to `mg sin theta`. For pure rolling to maintain `v_(CM) = R omega`, torque of friction should be to decrease `omega`. During down ward journey `v_(CM)` increases due to `mg sin theta`. For pure rolling to maintain `v_(CM) = R omega`. torque of friction should be to increase `omega` so option (B) is correct choice.
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