I'll advise you to think twice!

Classical Mechanics Level 4

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 \(a+b\).

Not original.

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