A flywheel is mounted on a vertical shaft, as shown in Fig. 2.76. The shaft has a
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A flywheel is mounted on a vertical shaft, as shown in Fig. 2.76. The shaft has a diameter \(d\) and length \(l\) and is fixed at both ends. The flywheel has a weight of \(W\) and a radius of gyration of \(r\). Find the natural frequency of the longitudinal, the transverse, and the torsional vibration of the system.
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