2.II.17B
Let be the moment-of-inertia tensor of a rigid body relative to the point . If is the centre of mass of the body and the vector has components , show that
where is the mass of the body.
Consider a cube of uniform density and side , with centre at the origin. Find the inertia tensor about the centre of mass, and thence about the corner .
Find the eigenvectors and eigenvalues of .
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