A disc, a sphere and a ring with the same mass and the same radius roll down an inclined plane. A block also slides on an frictionless inclined plane of the same height. All objects start from the same height at rest. Rank the objects in terms of velocity of the center of mass at the bottom of the plane.

(From the quickest to the slowest): Sphere, Disc, Ring.

Explanation:

Let assume that height at the bottom is equal to zero. All elements can be described by means of the Principle of Energy Conservation:

The velocity is determined by the following expression:

Case I - Disc ()

Case II - Sphere ()

Case III - Ring ()

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