Welcome to Physics 505 Autumn 2008Mechanics and Introduction to ChaosM/W/F 9:30 - 10:20 in PAB A114 |
As you can see from the results, the first question was found to
be the most difficult. Many students tried to solve using the Euler
equations, which turns out to be more complicated than simply using
L-dot=torque. For completeness, and in case anyone is interested,
a solution using the Euler equations is posted
here. I also include a note on the correspondence between
the angles used in the problem and the canonical Euler angles.
My solutions for the last problem had one error---the shape of the trajectories depend on the amplitude. For a purely quartic potential then are squashed horizontally at large amplitudes but then switch over to being squashed vertically one the amplitude drops below about unity.
I will put final exams into mailboxes tomorrow (for those with mailboxes). For others, I will have them in my office. Have a good break!
A less detailed outline is as follows (FW = Fetter and Walecka, BG = Baker and Gollub):