Phys 105Spring 2017 INSTRUCTOR
Mari-Anne Rosario
Galileo 108A
mrosario@stmarys ...
925.631.4837
Grades: gaellearn
Analytical Mechanics
This course covers the principles of particle dynamics. Topics include rigid body dynamics, Lagrange's equations, Hamilton's principle, wave propagation, and normal modes of vibration in oscillating systems. Prerequisites: Physics 1-4 and Math 39.
CALENDAR WITH ASSIGNMENTS
Problems are mostly from the text (Thornton Marion). 2.9 means chapter 2, problem 9.
ep means extra problems.
| Date | Text | Topic | Problems |
| 2/14 | 2.1-2.4 | NEWTONIAN MECHANICS: Newton's laws, frames of reference, single particle equation of motion | |
| 2/16 | 2.4 | effects of retarding forces | friction, terminal velocity |
| 2/21 | 2.4 | 2d motion: projectile motion projectile simulation |
due Tue: ep1 ep2 ep3 2.6 |
| 2/23 | 2.4 2.2 2.5 | motion of a charged particle, Newton's 3rd law, momentum conservation animation van Allen belts rocket propulsion |
due Fri: ep4 2.3 2.9 2.11 2.15 |
| extra credit talks |
Dr Hill: Launching a variable-star observing program at The Geissberger Observatory Dr Fonseca: Electron and photon impact induced processes in molecules |
Wed 1:30-2:30 Galileo 202 Fri 1:30-2:30 Galileo 110 |
|
| 2/28 | 2.5 | Energy conservation | due Tue: ep5 ep6 ep7 ep8
Wed: talk on APS Bridge Program, 1:30 Gal 110 |
| 3/2 | 2.6 | Energy | due Fri: 2.22ab 2.41 2.47 2.53ab (CHANGED from 2.53bc) |
| 3/07 | 3.1-3.3 | OSCILLATIONS: Hooke's law, simple harmonic oscillations, oscillations in 2D | due Tue: 2.52abde ep9 ep10 ep11 |
| 03/09 | 3.5 | Damped oscillations, Applet | due Fri: 2.52c 5.15 3.1 3.2 |
| 3/14 | 3.6 | Sinusoidal driving forces. video applet, resonance example | Due Tue: 3.13 3.11 D.6 3.15 |
| 03/09 | 3.8 | Fourier series. Applet | due Fri: 3.44 3.24 ep12 ep13 |
| 3/21 | 3.8, review | finish Fourier series, Review for Exam 1 (problems) | due Tue: extra credit ep14 ep15 |
| 03/23 | EXAM 1: Newtonian mechanics, Oscillations.
Review sheet and problems. Grades and solutions OFFICE HOURS Wed 11:30-1 Th 10-11:30 |
due Fri: extra credit 3.28 3.30 |
|
| 3/28 | 6.1-6.3 | CALCULUS OF VARIATIONS. | Mon: Caminas a las sciences talk due Tue: ep16 ep17 ep18 |
| 03/30 | 6.3 6.4 | problems on calculus of variations, fourier series. cycloid | due Fri: ex6.4 6.15 |
| 04/04 | 7.1 7.2 7.6 | HAMILTON'S PRINCIPLE. Lagrange's equations of motion | due Tue: ep19 ep20 |
| 04/06 | 7.3 7.4 | generalized coordinates, problems on Lagrangian dynamics | due Fri: ep21 7.5 7.14 |
| EASTER HOLIDAY | |||
| 04/18 | 7.4 | Lagrangian dynamics, more problems. the double pendulum video and simulation | |
| 04/20 | 7.7, review |
essence of Lagrangian method; Exam 2 Review sheet and problems |
Thu: SOS Career Panel (ec) |
| 04/25 | EXAM 2: Fourier series, calculus of variations, Lagrangian equations of motion
Review grades solutions OFFICE HOURS Fri 1-2:15 M 11:45-1 |
Wed: Brousseau lecture (ec), info | |
| 04/27 | PROJECT: Euler's method sample .m file for a first order d.e. |
due Fri: ep22 | |
| 05/02 | Euler's method for 2nd order d.e. Revisit Exam 2 (solutions) .m file for pendulum example |
due Tue: ep23 |
|
| 05/04 | class cancelled | due Fri: ep24 ep25 |
|
| 05/09 | 7.9 | back to HAMILTON's PRINCIPLE: conservation theorems revisited. short lecture on Noether's theorem, Noether's paper translated, notes on symmetry | due Tue: ep26 ep27 |
| 05/11 | 7.10 | Hamiltonian dynamics | |
| 05/16 | problems on Hamiltonian dynamics |
due Wed: 7.22 7.25 7.29 | |
| 05/18 | PROJECT PRESENTATIONS info sheet, example files: 1st order, pendulum |
due Fri 11:59pm: Project report need an extension? email me by Friday noon and I'll give you one with a hard deadline. |
|
| FINALS WEEK | Tuesday: FINAL EXAM 1-3pm Review sheet OFFICE HOURS: Mon 2-4pm |
