1. Consider a solid cylinder of mass m and radius r and a solid sphere of mass M and radius R are placed at rest on the top of an inclined plane that makes an angle θ with the ground. The length of the inclined plane is L. Now solve the following problems. (a) Find the moment of inertia of the cylinder and sphere.  (b) Find the potential energy of the cylinder and the sphere when they are at the top of the inclined plane. (c) Now we let go of the cylinder and the sphere at the same time so that the roll without slipping along the incline plane. Find out which one of the solid bodies have greater linear velocity than the other when they come down from the inclined plane.

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A: Consider the figure below:

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