# I'll advise you to think twice!

A weightless rigid rod with a load at the end is hinged to a point on the wall, so that it can rotation in all directions.

The rod is kept in the horizontal position with the help of an inextensible thread of length $$l$$, fixed at its midpoint. The load receives a momentum in the direction perpendicular to the plane of the figure. Determine the period $$T$$, of the small oscillation of the system.

Let this be given by $$2\pi \sqrt{\dfrac{al}{bg} }$$, where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$.

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