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 the mass in the lower-left corner. The
rectangle is 7 m wide and 4 m long.
If the system rotates in the xy plane about
the z axis (origin, O) with an angular speed
of 6 rad/s, calculate the moment of inertia of
the system about the z axis.
Answer in units of kg · m2.