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A long, uniform rod of mass 10 kg and length 3 m is supported by a hinge situated one third of the length from

   

A long, uniform rod of mass 10 kg and length 3 m is supported by a hinge situated one third of the length from the left end, as shown. The other end is connected to the ceiling by a vertical cord. a. Find the moment of inertia of the rod about this rotation axis. b. Draw and correctly label an extended free body diagram for the rod, showing all the forces acting on the rod and their locations on the rod. c. What is the magnitude of the tension in the cord?

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a To find the moment of inertia of the rod about the rotation axis we can use the parallel axis theorem The moment of inertia of the rod about its cen... blur-text-image

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