A fixed-fixed steel beam, of length \(5 \mathrm{~m}\), width \(0.5 \mathrm{~m}\), and thickness \(0.1 \mathrm{~m}\), carries an electric motor of mass \(75 \mathrm{~kg}\) and speed \(1200 \mathrm{rpm}\) at its mid-span, as shown in Fig. 3.64. A rotating force of magnitude \(F_{0}=5000 \mathrm{~N}\) is developed due to the unbalance in the rotor of the motor. Find the amplitude of steady-state vibrations by disregarding the mass of the beam. What will be the amplitude if the mass of the beam is considered?

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# ! Fo 2 2 FIGURE 3.64 Unbalance in the motor supported on a beam.