Consider the uniform beam shown in Figure 7.46. Solve for the lowest natural frequency of axial motion of the steel beam given the following parameter values: \(E=210 \mathrm{GN} / \mathrm{m}^{2}, ho=7850 \mathrm{~kg} / \mathrm{m}^{3}, L=1.2\) \(\mathrm{m}, k=100 \mathrm{kN} / \mathrm{m}\), and \(A=3 \mathrm{~cm}^{2}\).

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P. E. A m L Figure 7.46: Axially vibrating beam with spring bound- ary.