A turbine is connected to an electric generator through gears, as shown in Fig. 5.59. The mass
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A turbine is connected to an electric generator through gears, as shown in Fig. 5.59. The mass moments of inertia of the turbine, generator, gear 1, and gear 2 are given, respectively,
by \(3000,2000,500\), and \(1000 \mathrm{~kg}-\mathrm{m}^{2}\). Shafts 1 and 2 are made of steel and have diameters \(30 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) and lengths \(2 \mathrm{~cm}\) and \(1.0 \mathrm{~m}\), respectively. Find the natural frequencies of the system.
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