The 2 spring problem

Classical Mechanics Level 3

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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