# Goldilocks And The Three Spheres

Three masses joined by elastic, inextensible strings that initially form an equilateral triangle. Mass A is given velocity $$v_0$$ parallel to side $$\overline{BC}$$. Eventually mass C starts to move with speed $$v = xv_0/y$$, where $$x$$ and $$y$$ are co-prime positive integers.

Find $$x+y$$.

Details and Assumptions:

• The stings are initially taut.
• The masses of A, B, and C are in the ratio $$1 : 2 : 3$$.
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