Two uniform cylinders have different masses and different rotational inertias. They simultaneously start from rest at the top of an inclined plane and roll without sliding down the plane. The cylinder that gets to the bottom first is: A) the one with the larger mass B) the one with the smaller mass C) the one with the larger rotational inertia D) the one with the smaller rotational inertia E) neither (they arrive together)

Question

Physics

Prince Parks

23 July, 16:45

Two uniform cylinders have different masses and different rotational inertias. They simultaneously start from rest at the top of an inclined plane and roll without sliding down the plane. The cylinder that gets to the bottom first is: A) the one with the larger mass B) the one with the smaller mass C) the one with the larger rotational inertia D) the one with the smaller rotational inertia E) neither (they arrive together)

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Answers (1)

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Giancarlo Leon · Answer 1

Option (E) is correct

Neither (they arrive together)

Explanation:

Neither of the cylinders gets to the bottom first, they both will arrive together. Every object can gain speed with time if it is pushed, it is called the acceleration of that object. It the acceleration that decides which object reaches the bottom first.

Acceleration = I / mr^2.

In the case of both the cylinders, the acceleration will be the same, with the same acceleration they will reach the bottom at the same time.