Vibration of Electronic s Module, Engineering Mathematics

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An electronic module is mounted on a machine and is modelled as a single degree of freedom spring, mass, and damper. During normal operation, the module of mass m kg is subject to harmonic force of F N at w rads/s. The stiffness is k N/m and the natural damping in the system is c kg/s. The machine starts and stops during its normal operation providing initial conditions to the module of x0=0.01 m and v0=0.5 m/s. Determine the natural frequency of the system and use this to produce a plot demonstrating the behaviour of the module when resonance occurs.

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