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 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.

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.