# A triangle of cylinders (part 2)

Three identical solid cylinders are situated in a triangle as shown in figure. Find the initial downward acceleration of the top cylinder, if there is no friction between the bottom two cylinders and the ground, but there is friction between the cylinders.

The answer is of the form $$\frac{A}{B}$$

where $$A$$ and $$B$$ are positive integers and $$GCD(A,B)=1$$

Find $$A+B.$$

Details:

• $$g=10ms^{-2}$$

• $$R=1m$$

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