The disk of mass M is pin-connected at its midpoint. Determine the natural period of vibration of the disk if the springs have sufficient tension in them to prevent the cord from slipping on the disk as it oscillates. Assume that the initial stretch in each spring is δ₀. This term will cancel out after taking the time derivative of the energy equation.

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Given: M = 7 kg N k = 600 ZIE m r = 100 mm