Vibration of Electronics Module:
An electronics 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 a harmonic force of F N at ω rad/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 x_{0}= 0.01 m and v_{0} = 0.5 m/s. You must complete a numerical analysis and plot the displacement and velocity of the module as a function of time for the values assigned to you.
In addition, you must determine the natural frequency of the system and use this to produce a plot demonstrating the behavior of the module when resonance occurs.
Equation of Motion:
mx + cx + kx = F_{o} sinωt