Determine the product of inertia for the homogeneous tetrahedron. The density of the ma...

Determine the product of inertia for the homogeneous tetrahedron. The density of the material is ρ. Express the result in terms of the total mass m of the solid. Suggestion: Use a triangular element of thickness dz and then express in terms of the size and mass of the element using the result of Prob. 21-5.