In: Physics
a. Two masses of equal magnitude are located at
(0,0,a) and (0,a,0). Find the Inertia Tensor. Now set m =1 and a =
1 What
are the Eigenvalues? What are the principal axes (eigenspaces)?
b. Now ADD a third mass at (0,a/2,a/2) to the above system of part
A.
Find the Inertia Tensor. What are the eigenvalues? What are the
principal
axes (eigenspaces)? Form the Matrix P from the normalized
eigenvectors
and carefully explain IF you can interpret P as a rotation matrix.
IF you can,
what is the rotation angle and axis?
please show detailed work, thanks