Always hand in:
- written solutions to any questions
- a paper print-out of well-commented code. Include a multiline comment at
the top of your code with (i) the assignment name, (ii) your name,
and (iii) the date you handed in all elements of the assignment
- paper print-out of output (graph or text)
- also, e-mail me (y-lithwick@northwestern.edu) the code with your name and
the exercise number in the subject line
Assignment #10
10pts, due 2pm, May 15
- Simulate a wave on a string with fixed ends. Use the parameters in the
caption of Figure 6.2, and use equation 6.8 with the parameters
just below equation 6.8.
Hand in a plot of the string at the time 2.5L/c , where L is the length
of the string.
- Make a movie of the string simulated in question 1. Note that you
can use the files mainloop.gnu and oneframe.gnu (in the Supplementary
Info for lecture 8) virtually without change.
- Repeat numbers 1 and 2, but this time use periodic boundary conditions, and
initialize the velocity so that the Gaussian packet only moves
to the right.
-
Choose one of: 6.2, 6.5, or 6.6 (for 6.6, start off with one left-moving and one
right-moving gaussian wavepacket)
- Repeat number 3 (periodic BC, right-moving packet), but for a string
with dispersion (equation 6.9 in text) with (a) ε=10-4;
and (b) ε = -10-5 (note minus sign!). Describe qualitatively what happens differently
in the two cases, and explain why based on the dispersion relation.
- What do you plan to do for your project? Please give details.
What system do you plan to solve? What are the equations? How do you plan to solve them?
[Due May 18. This question will count towards your project grade. Hand in a brief
(paragraph-long or so) proposal.]