Harmonic Motion of the base summary

The video tutorial explains the dynamics of a spring and damper system, focusing on the base motion described by a sinusoidal equation. It derives the equation of motion for the mass using Newton's laws and discusses the solution's transient and steady state responses. The tutorial further explores how the steady state amplitude and phase vary with frequency ratio, using graphs to illustrate displacement transmissibility and phase changes for different damping ratios.

What is the term used to describe the maximum extent of base motion in the spring and damper system?

• Damping ratio

• Base frequency

• Amplitude

• Phase angle

Which law is used to derive the equation of motion for the mass in the spring and damper system?

• Coulomb's Law

• Ohm's Law

• Newton's Laws

• Hooke's Law

What are the two parts of the solution to the equation of motion in the spring and damper system?

• Linear response and non-linear response

• Dynamic response and static response

• Initial response and final response

• Transient response and steady state response

What is the term for the ratio of steady state amplitude to base amplitude in the context of frequency ratio?

• Damping ratio

• Frequency response

• Phase shift

• Displacement transmissibility

How does the graph of displacement transmissibility vary with frequency ratio when Zeta equals 0.1, 0.5, and 1?

• It shows different curves for each Zeta value

• It increases exponentially

• It decreases linearly

• It remains constant