A uniform shaft carries three rotors as shown in Fig. 7.18 with mass moments of inertia (J_{1}=J_{2}=5
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A uniform shaft carries three rotors as shown in Fig. 7.18 with mass moments of inertia \(J_{1}=J_{2}=5 \mathrm{~kg}-\mathrm{m}^{2}\) and \(J_{3}=10 \mathrm{~kg}-\mathrm{m}^{2}\). The torsional stiffnesses of the segments between the rotors are given by \(k_{t 1}=20,000 \mathrm{~N}-\mathrm{m} / \mathrm{rad}\) and \(k_{t 2}=10,000 \mathrm{~N}-\mathrm{m} / \mathrm{rad}\). Determine the natural frequencies and mode shapes of the system using Holzer's method.
Figure 7.18:-
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