1. Find the kinetic energy of the uniform circular cone of height h, base radius R, and mass M. Rotating with the angular velocity ~ around an axis which goes through the center of mass. 2. The same for a uniform ellipsoid of semiaxes a, b, and c. 1 {

1) , 2)

Explanation:

1) The kinetic energy due to the rotation is:

Where and are the moment of inertia and angular speed, respectively. The moment of inertia of the circular cone is:

The kinetic energy is:

2) The moment of inertia of the ellipsoid is (where a is the major semiaxis):

The kinetic energy is:

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