Problem

Consider a cube of mass m and side a. (a) Show that the ellipsoid of inertia at the center...

Consider a cube of mass m and side a. (a) Show that the ellipsoid of inertia at the center of the cube is a sphere, and use this prop­erty to determine the moment of inertia of the cube with respect to one of its diagonals, (b) Show that the ellipsoid of inertia at one of the corners of the cube is an ellipsoid of revolution, and deter­mine the principal moments of inertia of the cube at that point.

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