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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