# A pretty famous question..

**Classical Mechanics**Level pending

A cylinder of radius \(R\) and length \(l\) is floating in a liquid of density \(\rho_l\).The density of the cylinder is \(\rho_s\).It is given a very light push.

Then, the time period of its motion \(T=\sqrt{\frac{l}{g}} \times (\rho_l)^a \times (\rho_s)^b \times R^c\).

Find \(a-b+c\)