# Aditya's challenges in Mechanics 4

If the figure above, 2 thin identical hoop's of radius $$r=1 \text{ m}$$ and mass $$M=9\text{ kg}$$ are placed on a rough floor. They are connected by a small ring of mass $$m=4\text{ kg}$$ at $$A$$. Now, the hoops move apart. What is the acceleration of the ring at initial instant?

Details and Assumptions:

• $$g=10 \text{ ms}^{-1}$$.

• $$\angle ABC=\angle ACB={ \left( \dfrac { \pi }{ 4 } \right) }^{ c }$$.

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