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

Problem #6Four particles with masses 6 kg, 6 kg, 3 kg,and 4 kg are connected by rigid rods of neg-ligible mass as shown. The origin is centeredon the mass in the lower-left corner. Therectangle is 7 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.Answer in units of kg · m2.