Calculate the principal moments of inertia of the body whose inertia matrix [I] is given below for the following values of a: a = 10, 100, −200. Compare the principal moments of inertia and the...

Calculate the principal moments of inertia of the body whose inertia matrix [I] is given below for the following values of a: a = 10, 100, −200. Compare the principal moments of inertia and the direction cosines (eigenvectors) with each other and with the case when a = 0.