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Find the center of mass and the moment of inertia tensor about the center of mass for a beam of dimensions xyz where x goes

Find the center of mass and the moment of inertia tensor about the center of mass for a beam of dimensions xyz where x goes to a, y goes to b and z goes to L, L > a > b, with asymmetric mass density: rho = gamma(2+ (x/a)). Discuss the stability of the principal moments of inertia and find the corresponding axes.

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