Question

Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown.


011. Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown. The origin is centered on the mass in the lower left corner. The rectangle is 6 m wide and 5 m long. 

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If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 5 rad/s, calculate the moment of inertia of the system about the z axis. 


012. Find 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.   

013. For the four-particle system find the moment of inertia about the y-axis, which passes through the two masses on the left-hand side of the system.  

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