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Question

A rod of uniform mass is tightly hinged at its centre. Two force of equal magnitude and in same direction are applied on the body at its rear ends. The body will be in?

A
Only translational equilibrium
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B
Only rotational equilibrium
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C
Rotational and translational equilibrium
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D
Neither rotational nor translational equilibrium
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Solution

The correct option is C Rotational and translational equilibrium
As you just saw in the video that the body will be in complete equilibrium if the net force and net torque about any point on it is zero. Here the net force force is not zero but due to the presence of the hinge force its linear motion is restricted. The net torque is zero as the direction of individual torques is antiparallel and magnitiude is the same. Thus the body will be in complete equilibrium.
Note: If you are not able to digest this I recommend you to go through the previous again.

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