{40 points} The figure shows a massless thin rod {length Ii} with two In point masses attached to both ends. The Cartesian coordinates are fixed in space, with the Siraxis pointing out of the page. The rod is anchored at its center and rotates about the E-asis with an angle of. The angular *1" 1trelocity is a constant E 2 mi. At t = D, the rod is in the yz-plane. Ell-cl {a} {ID points] Find the moment of'inertia tensor of'the system at t = t]. m {b} {[5 points] Find the principal moments and principle axes at t = D. {c} {ID points] Find the angular momentum of the rod-mass system at any given time {using the same Cartesian coordinates}. {d} {5 points] Find the force and torque required to keep the rodrnass system rotating in this conguration {using the same Cartesian coordinates}