Answer to Question #252261 in Mechanics | Relativity for Anuj

Question

Discuss analytically the theory of forced vibrations in the presence of damping force

Answer 1

In a damped forced vibration system, the motion of the mass has two parts: (1) the damped free vibration at the damped natural frequency and (2) the steady-state harmonic motions at the forcing frequency. The damped natural frequency component decays quickly, but the steady state harmonic associated with the external force remains as long as the energy force is present.