A steel shaft of \(0.05 \mathrm{~m}\) diameter and \(2 \mathrm{~m}\) length is fixed at one end and carries at the other end a steel disc of \(1 \mathrm{~m}\) diameter and \(0.1 \mathrm{~m}\) thickness, as shown in Fig. 2.14. Find the system's natural frequency of torsional vibration.

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- Shaft d Disc 0,0,0 D (a) FIGURE 2.14 Torsional vibration of a disc. (b) Jo