A smooth horizontal disc rotates about the vertical axis $$O$$ with a constant angular velocity $$\omega$$. A thin uniform rod $$AB$$ of length $$l$$ performs small oscillations about vertical axis $$A$$ fixed to the disc at a distance $$a$$ from the axis of the disc. Find the frequency $$f$$ of these oscillations.If $$a=2 \ , \ \omega =1 \ , \ l=1$$ then, find the square of the frequency found.