12- The four particles shown below are connected by rigid rods of negligible mas

Question

12-The four particles shown below are connected by rigid rods of negligible mass where y1 = 5.70 m. The origin is at the center of the rectangle. The system rotates in thexy plane about the z axis with an angular speed of 6.20 rad/s.

12-The four particles shown below are connected by rigid rods of negligible mass where y1 = 5.70 m. The origin is at the center of the rectangle. The system rotates in thexy plane about the z axis with an angular speed of 6.20 rad/s. Calculate the moment of inertia of the system about the z axis. Calculate the rotational kinetic energy of the system.

Explanation / Answer

(a)the moment of inertia is

I = (m1 + m2 + m3 + m4) x r^2/12

where m1 = 2.00 kg,m2 = 4.00 kg,m3 = 2.00 kg and m4 = 3.00 kg and r^2 = (4^2 + 5.7^2) m^2

(b)the rotational kinetic energy of the system is

K = (1/2)I x w^2

where w = 6.20 rad/s

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