The four particles shown below are connected by rigid rods of negligible mass wh

Question

The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 5.60 rad/s.

The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 5.60 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) moment of inertia = (2+4+2+3)*(3.3^2   + 2^2 ) = 163.79 kg m^2

b) rotational kinetic energy = 0.5*163.79*5.6^2 = 2568.2272 J

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