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Rotational Equilibrium and Net Force

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A uniform rod of mass M and length L is suspended horizontally by two vertical strings attached at distances of L/4 and 3L/4 from its left end. If the rod is in rotational equilibrium but not in translational equilibrium, which of the following statements must be true?

A

The center of mass must be accelerating rotationally

B

The net force on the rod must be nonzero

C

The rod must be accelerating horizontally

D

The tensions in the two strings must be equal

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