Question

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

• A. only translational equilibrium
• B. only rotational equilibrium
• C. rotational and translational equilibrium
• D. neither rotational nor translational equilibrium

Answer 1

The correct option is C

rotational and translational equilibrium

Any body will be in complete equilibrium, if the net force and net torque about any point on it is zero. Here, the net 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 magnitude is the same. Thus the body will be in complete equilibrium.