Figure 2 shows an electrical motor with mass M=13 kg located at the middle of pinned-pinned beam. A damper with damping coefficient of c=59 N.s/m is also attached to the beam at point A . Considering Young’s modulus of the beam E=98 GPa, moment of inertia of the beam I=18 mm4, length of the beam L=1 m, unbalance mass of m0 =1.9 kg, eccentricity e=2.8 mm, and zero initial conditions, find the steady state amplitude of point A at resonance in millimetre (mm).

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Procedure for plotting root locus

Root locus analysis is described as a graphical technique to determine the change in roots of a system with variations in different system parameters. In this technique, an open-loop transfer function is used to determine the stability of the closed-loop control systems.