Hello everybody. I'm a former music teacher who has returned to university to study engineering physics. I anticipate that to start with I'll be asking more questions than I can answer, but I hope that gradually I'll switch roles, answering as many as or more than I ask.
Thank you. That clarifies the approximation for part (a). I'm not sure how that helps with part (b), though.
For part (b) I have $$\frac{\omega}{\omega_0} = \frac{2n\pi}{\sqrt{1+4n^2\pi^2}} = \sqrt{\frac{4n^2\pi^2}{1+4n^2\pi^2}} = \sqrt{1 - \frac{1}{4n^2\pi^2}}$$
Homework Statement
An oscillator when undamped has a time period T0, while its time period when damped. Suppose after n oscillations the amplitude of the damped oscillator drops to 1/e of its original value (value at t = 0).
(a) Assuming that n is a large number, show that...
I'm trying to use Maxima to examine the error in a Fourier series as the number of terms increases. I've figured out how to produce a Fourier series and plot partial sums, but this has me stumped.
If anyone experienced with the Maxima CAS has some insight into this, I would greatly appreciate...