Note that because the x, y, and z components are treated symmetrically in the definitions of the vector cross product, it is only necessary to carry out the proof for the x component o...Note that because the x, y, and z components are treated symmetrically in the definitions of the vector cross product, it is only necessary to carry out the proof for the x component of the result. (b) Applying this to the angular momentum of a rigidly rotating body, L=∫r×(ω×r)dm, show that the diagonal elements of the moment of inertia tensor can be expressed as, e.g., Ixx=∫(y2+z2)dm. (c) Find the diagonal eleme…
