# Equilateral Spring Triangle

Level pending

Three point masses $$m$$ are attached together by identical springs. When placed at rest on a horizontal surface the masses form a triangle with side length $$l$$. When the assembly is rotated about its center at angular velocity $$\omega$$, the masses form a triangle with side length $$2l$$. What is $$\dfrac{k}{m\omega^2}$$ for the springs, if $$k$$ is the spring constant?

Note: A version of this problem appeared on the 2012 F = ma exam.

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