A machine, modeled as a linear spring-mass-damper system, is driven at resonance (ωn = ω = 2 rad/s).
Design a damper (that is, choose a value of c) such that the maximum deflection at steady state is 0.05 m. The machine is modeled as having a stiffness of 2000 kg/m, and the excitation force has a magnitude of 100 N.