Determine the natural frequency (omega_{n}) of vertical vibration of the (3-mathrm{kg}) collar to which are attached the

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Determine the natural frequency \(\omega_{n}\) of vertical vibration of the \(3-\mathrm{kg}\) collar to which are attached the two uniform \(1.2-\mathrm{kg}\) links, which may be treated as slender bars. The stiffness of the spring, which is attached to both the collar and the foundation, is \(k=1.5 \mathrm{kN} / \mathrm{m}\), and the bars are both horizontal in the equilibrium position. A small roller on end \(B\) of each link permits end \(A\) to move with the collar. Frictional retardation is negligible.

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