Moment of Inertia and Rotational Energy?

Question

Four particles with masses 2kg, 7kg, 3kg, and 6kg are connected by rigid rods of negligible mass. The origin is centered on the mass in the lower right corner. The rectangle is 7m wide and 5 m long.

a) If the system rotates in the xy plane about the z axis with an angular speed of 6 rad/s calculate the moment of inertia of the system about the z axis. Answer in units of kgm^2.

b) Find the rotational energy of the system. Answer in units of J.

Answer 1

Sorry, but this problem can be solved only after you specify where each particle is located with respect to the origin.