# A classical mechanics problem by Arpita Karkera

In the figure shown a ring $$A$$ is initially rolling without sliding with a velocity $$v$$ on the horizontal surface of the body $$B$$ (of same mass as $$A$$). All surfaces are smooth. $$B$$ has no initial velocity. Find the maximum height reached by $$A$$ on $$B$$. ($$g$$ is acceleration due to gravity).

Answer comes out as $$\frac{av^{2}}{bg}$$ where a and b are coprime integers

What is the value of $$a+b$$?

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