Determine the natural circular frequency of the disk for, Mechanical Engineering

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Determine the natural circular frequency of the disk for

In the equilibrium position shown, the two springs attached to the rim of the disk are undeformed. Determine the natural circular frequency of the disk for small oscillations by the energy method. Use the following data: W = 180 N, R = 0.6 m, k = 0.5 m (radius of gyration about G), k1 = 450 N/m, and k² = 600 N/m.The mass center of the unbalanced disk of weight W is located at G

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