Find the natural frequencies of the stepped bar shown in Fig. 12.38 with the following data using consistent- and lumped-mass matrices: \(A_{1}=0.001 \mathrm{~m}^{2}, A_{2}=0.0006 \mathrm{~m}^{2}\), \(E=200 \mathrm{GPa}, ho_{w}=7750 \mathrm{~kg} / \mathrm{m}^{3}\), and \(l_{1}=l_{2}=1 \mathrm{~m}\).

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A -U U FIGURE 12.38 Stepped bar. A2 U3