The shaft of Chapter Problem 10.1 is at rest in equilibrium when the time dependent moment of Figure P10.11 is applied to the end of the shaft. Determine the time-dependent form of the resulting torsional oscillations.

Data From Chapter Problem 10.1:

A \(5000 \mathrm{~N} \cdot \mathrm{m}\) torque is statically applied to the free end of a solid \(20-\mathrm{cm}\) radius steel shaft ( \(\left.G=80 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}, ho=7500 \mathrm{~kg} / \mathrm{m}^{3}\right)\) with a length of \(1.5 \mathrm{~m}\) that is fixed at one end and free at its other end. The torque is suddenly removed, and torsional oscillations begin.

Transcribed Image Text:

MA Mo FIGURE P10.11 to