Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.
This project must be done by individuals.
In this class, we examined the behavior of a forced harmonic oscillator. The amplitude of the system varied strongly with the driving force's frequency. In the steady state, that amplitude can be written
The maximum amplitude occurs at a frequency which is slightly lower than that of the undamped system -- but how much lower?
Your job is to derive an algebraic expression for the frequency which leads to maximum amplitude, as a function of the parameters ω0, b, m.
Hand in a sheet of paper, showing all your work.
Hint: to find the maximum or minimum value of a function, consider the derivative of that function ...
Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.