Performs SHM if!

A rod of mass \(m\) and length \(l\) hinged about the lowest point is attached to spring of spring constant (\(k\)) at the top most point as shown in figure (Gravity is vertically downward). The rod will perform angular SHM about shown mean position with small amplitude if :-

\( (A) k> \frac{mg}{2l}\)

\( (B) k> \frac{mg}{4l}\)

\( (C) k> \frac{mg}{3l}\)

\( (D) k> \frac{mg}{l}\)


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