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

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 solid cylinder at rest at top of an inclined plane of height 2.7 m rolls down without slipping. If the same cylinder has to slide down a frictionless inclined plane and acquires the same velocity as that acquired by centre of mass of rolling cylinder at the bottom of the incline, what should be the height of inclined plane?