11261 The two inclined planes below are identical, except that the plane with th

Question

11261 The two inclined planes below are identical, except that the plane with the block is frictionless while the plane with the cylinder has enough friction to make rolling possible (despite friction, there is no loss of mechanical energy since the contact point is stationary relative to either surface at any instant). Ifthe block and cylinder are released from rest at the same time, and the displacement needed to reach the base is the same for each, which of the following occurs? a. The block reaches the base first. b. The cylinder reaches the base first. c. The two reach the base at the same time. d. The angle of incline determines which one reaches the base first.

Explanation / Answer

The cylinder will reach first to the bottom.

reason: since for the cylinder linear plus rotational speed adds up.

Also the cylinder has less moment of inertia. We know that less the moment of inertia more the acceleration.

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