# Mechanical oscillation overloaded

**Classical Mechanics**Level pending

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.