a. Two masses of equal magnitude are located at (0,0,a) and (0,a,0). Find the Inertia Tensor....

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

Solutions

Expert Solution

genius_generous answered 1 year ago

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