A BUG QUESTION

Level pending

A square metal frame in the vertical plane is hinged at O at its center. A bug of mass = 0.5 gram moves to and fro about M along the rod PN which is at a perpendicular distance of 100 cm from the hinge such that whole frame is always stationary, even though the frame is free to rotate in vertical plane. M is the midpoint of rod PN. (take (3.14)^2 = 10) Find the time period(in seconds) of the motion of the bug.

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