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Physics 501: Advanced
Classical Mechanics
Week of... |
Mon |
Wed. |
Fri. |
Aug. 27 |
Introduction |
Lagrangian mechanics. 13-16, 20 | Charged particles handout |
Sept. 3 |
Labor day | rigid bodies |
|
Sept. 10 |
variational calculus Hamilton's principle. 17-18 |
constrainted variation. 19 |
|
Sept. 17 |
constrainted variation. 19 |
small oscillations. 21-23 |
normal modes |
Sept. 24 |
normal modes |
symmetry & 0-freq. modes (handout) |
|
Oct. 1 |
modal matrices | No Class | modal matrics & energy |
Oct. 8 |
chains 24 | EXAM #1: 11:00-13:00 AJM 251 | chains (cont'd) |
Oct. 15 | chains (cont'd) | continuum limit: strings 25 |
No Class |
Oct. 22 |
Strings 38, 39 |
Strings & the Sturm-Lioville equation 40, 41 | normal mode expansion |
Oct. 29 |
variational approach Rayleigh-Ritz method, 41-42 |
membranes 46, 47 | |
Nov. 5 |
fluids, 48 | sound waves, 49 |
|
Nov. 12 |
Veteran's day |
Hamiltonian Mechanics 32, 33 | |
Nov. 19 |
EXAM #2: 6:00-8:00pmBARNH 108 class meets as usual @ 11:00am |
Thanksgiving | |
Nov. 26 |
Hamiltonian Mechanics | Adiabatic Invariants (handout) | |
Dec. 3 |
Poisson Brackets | Hamiltonian mechanics | |
Dec. 10 |
Final Exam: Tues. Dec. 11, 4:00-6:00pm, AJM 237 (i.e. usual classroom) Formula sheet: 1 side of 8.5x11 sheet |
Handouts
Interesting resources
Homework
Problem set |
Due date |
Latex file |
notes/comments |
Problem Set 1 | 9/5 | tex | |
Problem Set 2 | 9/14 |
tex | |
Problem Set 3 | 9/19 |
tex | only 2 problems |
Problem Set 4 | 9/28 |
tex | |
Problem Set 5 | 10/8 |
tex | |
Problem Set 6 | 10/24 |
tex | deadline extended |
Problem Set 7 | 11/2 |
tex | deadline extended solutions |
Problem Set 8 | 11/16 |
tex | 4 problems - start early deadline extended to 11/16 |
Problem Set 9 | 11/30 |
tex | |
Problem Set 10 | 12/7 |
tex |