2. Inertia tensor (30 pts): 3 unit point masses:
(0,0,0),(6,0,0),(0,3,0)
are joined together to form a rigid body. a. What is the inertia tensor with respect to the origin? (5 pts) b. Find the inertia tensor with respect to the center of mass (C.M.). (5 pts) c. Find the principal moments with respect to the C.M. (5 pts) d. Find the principal axes with respect to the C.M. (5 pts) e. What is the direction and magnitude of the torque that is required to spin the system (around its C.M.) at a constant angular velocity
