# The 2 spring problem

A uniform rod of mass $$M$$ and length $$L$$ is pivoted at the center. Its two ends are attached to two springs of spring constants $$k$$. The springs are fixed to the rigid support as shown in the figure , and the rod is free to rotate in the horizontal plane.The rod is gently pushed through small angle $$\theta$$ in one direction and then released. What is the frequency of oscillation?

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