Determine the product of inertia I_xy for the homogeneous tetrahedron. The density of the material is ρ. Express the result in terms of the total mass m of the soild. Use a triangular element of thickness dz and then express dI_xy in terms of the size and mass of the element using the result of Prob. 21-6.

Prob. 21-6.

Determine by direct integration the product of inertia I_xy for the homogeneous prism. The density of the material is ρ. Express the result in terms of the total mass m of the prism.

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X Z D -y