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A square made of 4 uniform rods each of ...

A square made of 4 uniform rods each of mass `m=1/14` kg and length `l`=1m each, is hinged about midpoint O of AB as shown and is lying on a smooth horizontal table. Two forces F=154 N act on the square in the direction shown. They are always perpendicular to the rods AB and AD. If the angular velocity (in rad/s) of the square by the time it rotates by an angle of `pi/2` is (60+n), find n [Take `pi=22/7`]

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