A fixed-fixed beam carries an electric motor of mass \(100 \mathrm{~kg}\) and operational speed \(3000 \mathrm{rpm}\) at its midspan, as shown in Fig. 8.34. If the motor has a rotational unbalance of \(0.5 \mathrm{~kg}-\mathrm{m}\), determine the steady-state response of the beam. Assume the length of the beam as \(l=2 \mathrm{~m}\), cross section as \(10 \mathrm{~cm} \times 10 \mathrm{~cm}\), and the material as steel.

Figure 8.34:-

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wt FIGURE 8.34 Fixed-fixed beam carrying electric motor at middle.