# Equilibrium everywhere

Classical Mechanics Level pending

A uniform rod of length $$L$$ is in vertical plane with upper end resting against a smooth vertical wall $$OY$$ ($$O$$ being origin) and lower end resting on smooth surface $$OC$$ which is perpendicular to the plane of the figure. Rod is in equilibrium for any position. If the equation of the curve $$OC$$ is $$x^2+\omega y^2 + kLy =0$$. Find $$\omega^2-k^2$$+4.

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