# Annoying Wedge

In the arrangement shown above, the block of mass $$m=2 \text{ kg}$$ lies on the wedge of mass $$M=8\text{ kg}$$. Find the initial acceleration of the wedge if the surfaces are smooth, pulley and strings are massless.

If the magnitude of acceleration is in the form $$\dfrac{a\sqrt{b}}{c}$$, where $$a,b$$ and $$c$$ are positive integers, with $$a,c$$ coprime and $$b$$ square-free, submit your answer as $$a+b+c$$.

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