# Performs SHM if!

Classical Mechanics Level 4

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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