# Top pipe falls

**Classical Mechanics**Level 5

\(a_1\) - When there is friction between the 2 cylinders and the ground but there is no friction between any of the pipes.

\(a_2\) - When there is no friction between the 2 cylinders and the ground but there is friction between the pipes.

Find \(\displaystyle \frac{a_1}{a_2}\).

If your answer is of the form \(\frac{p}{q}\)(for co-prime \(p,q\)), give your answer as \(p+q\)