Extend the computer program of Prob. 9.C7 to include the computation of the angles that...

Extend the computer program of Prob. 9.C7 to include the computation of the angles that the principal axes of inertia at the origin form with the coordinate axes. Use this program to solve (a) Prob. 9.180, (b) Prob. 9.181, (c) Prob. 9.184.

Reference of Prob. 9.C7:

Write a computer program that, for a body with known mass moments and products of inertia can be used to calculate the principal mass moments of inertia of the body at the origin. Use this program to solve part a of (a) Prob. 9.180, (b) Prob. 9.181, (c) Prob. 9.184.