Four particles with masses 8 kg, 4 kg, 2kg, and 2kg are connected by rigid rods of negligible mass as shown. The origin is centered on the mass in the lower-left corner. The rectangle is 7m wide and 6m long. If the system rotates in the xy plane about the z axis (origin, O ) with an angular speed of 6rad/s,
1.) calculate the moment of inertia of the system about the z axis.
2.) Find the rotational energy of the system.