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Q. Four particles with masses 4 kg, 2 kg, 4 kg, and 2 kg are associated by rigid rods of negligible mass. The origin is centered on the mass in the lower left corner, and all the particles are located in Quadrant 1. The rectangle is 5 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 4 rad/s, calculate the moment of inertia of the system about the z axis.

Find out the moment of inertia of the four-particle system about an axis that is perpendicular to the plane of the configuration and passing through the center of mass of the system.

For the 4-particle system find the moment of inertia about the y-axis, that passes through the two masses on the left-hand side of the system?

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