# Top pipe falls

There is a system consisting of 3 pipes(hollow cylinders as shown in the figure). Now, the system is little disturbed. Let the initial downward acceleration of the top pipe given the conditions be

$$a_1$$ - 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 $$p+q$$

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