PHYS212 : Homework |
The Wave Equation, Fourier Series
(a) Find the coefficients of the sine/cosine Fourier series representing the wave form. Instead of integrating from to , shift your limits to and .
(b) Find an expression for a standing triangle wave on a string of length . Consider the endpoints of the string to be fixed at and
(c) Use Maple to produce an animation of a standing triangle
wave, including a reasonable number of terms in the Fourier series. To
help you with Maple syntax, here is a Maple worksheet with an
animation of a standing square wave:
standingSquare.mws.
You will need to change the a_o
, a_n
, and
b_n
calculations and shift the range of the animation to
x = -0.5..0.5. (Since we aren't considering a particular
string, I have set , and to 1.)
Lab 2: The Hanging Chain
Copyright © 2003-2009, Lewis A. Riley | Updated Tue Apr 14 02:04:45 2009 |