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 happens to the transient response in a spring mass damper system over time?

• It oscillates with increasing amplitude.

• It increases indefinitely.

• It remains constant.

• It diminishes due to damping.

What is the expression for the work done by the harmonic force over one full oscillation?

• XF π sine Phi

• CX squared Omega Pi

• F not cosine Omega T

• X cosine Omega T minus Phi

How is the damping force expressed in the system?

• X cosine Omega T minus Phi

• F not cosine Omega T

• Minus C DSDT

• XF π sine Phi

What is the net energy change in the spring mass damper system per cycle?

• It remains zero.

• It doubles with each cycle.

• It decreases with each cycle.

• It increases with each cycle.

What role does the damping force play in the energy balance of the system?

• It adds energy to the system.

• It amplifies the energy added by the harmonic force.

• It dissipates energy from the system.

• It has no effect on the energy balance.