Energy analysis of forced spring mass damper system

The video tutorial explains the analysis of a harmonically forced spring mass damper system. It begins with background information on the system's equation of motion, highlighting the transient and steady state responses. The tutorial then calculates the work done by the harmonic force over one oscillation cycle, followed by the work done by the damping force. It concludes by summarizing the energy balance, showing that the energy added by the harmonic force equals the energy dissipated by the damping force, ensuring the net energy per cycle is zero.

What is the significance of the energy added by the harmonic force and the energy dissipated by the damping force per cycle?

Discuss the implications of the net energy per cycle in a spring mass damper system.