Is it S.H.M?

A weightless rigid rod with a load at the end is hinged at point AA to the walls so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical in-extensible thread of length ll, fixed at its midpoint. The load receives a momentum in the direction perpendicular to the plane of the figure (which is shown below). If the period TT of small oscillations of the system can be described as
2π2\piklg\dfrac{\sqrt{kl}}{\sqrt{g}} Find the value of kk

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