Sketching Waveforms to represent Transient Responses

[Morgz129]

Homework Statement

sketch, on a set of common axes, the waveforms to represent the transient response of circuits having transfer functions with the following parameters:

a) ζ = 0.5, ω = 1×10^3 rad s^-1
b) ζ = 0.2, ω = 2×10^3 rad s^-1
c) ζ = 2, ω = 1×10^3 rad s^-1

Relevant Equations

unsure

i am completely unsure on what is being asked by this question. i know the word sketch suggests a rough drawing and google shows up roughly what the waveforms should look like but what's thrown me off is the fact that the equation 'b' has twice the frequency as the other two. this is a topic that i am really struggling to grasp with my course notes not so good and my tutor slightly less than useless so any assistance would be greatly received.

 

[jedishrfu]

There are some related PF pages listed below. Perhaps you will find something there.

In particular this exchange may help:

https://www.physicsforums.com/threads/sketch-waveform-to-represent-the-transient-response.764761/