Four particles with masses 9 kg, 3 kg, 4 kg, and 6 kg are connected by rigid rods of neg- ligible mass as shown. The origin is centered on the mass...

Four particles with masses 9 kg, 3 kg, 4 kg,and 6 kg are connected by rigid rods of neg-ligible mass as shown. The origin is centeredon the mass in the lower-right corner. Therectangle is 6 m wide and 4 m long. If the system rotates in the xy plane aboutthe z axis (origin, O) with an angular speedof 6 rad/s, calculate the moment of inertia ofthe system about the z axis.