Physics 304: Analytical Mechanics II

Instructor

Prof. Douglas Fields
Email: fields@unm.edu
Office: PAIS 3220

Description of the class


This class is the second of two undergraduate mechanics classes for physics and engineering majors. In the series, we will cover classical mechanics from basic Newton's Laws to coupled harmonic oscillators.

Lectures

Monday, Wednsday, Friday 10:00 - 10:50, PAIS 1140.

Textbook

Textbook for the class
John R. Taylor, Classical Mechanics


Office hours

Instructor
Before or after class times, or during problem sessions (see below).

Grader
The grader is Thousif Reza and can be reached via email at tousif@unm.edu

Grading

The grading in the course will be based on your performance on four midterm exams (best 3/4 exams) and your homework grade. If you must quarantine, you must arrange to have your exams proctored via zoom.

Homework

Homework is due (once per chapter) before class on the day it is due (see below).

Problems class

Listed officially as PHYS 314 001, will take place in PAIS 1140 on Fridays from 1:00 to 1:50am. If there is enough interest, I will offer another section at a time to be determined.

Syllabus


Week/Lec.# Date Before Class Reading Homework (Due before class) Subject
1/1 Wed. 01/18 Sections 8.1 - 8.2
Central Forces, Reduced Mass
1/2 Fri. 01/20 Sections 8.3 - 8.4
Effective Potential
2/3 Mon. 01/23 Sections 8.5 - 8.6
Kepler Orbits
2/4 Wed. 01/25 Sections 8.7 - 8.8 Changes to Orbits
2/5 Fri. 01/27 Chapter 8 Review and work Problems
3/6 Mon. 01/30 Sections 9.1 - 9.2
Set 1: 8.2, 8.4, 8.8, 8.10, 8.12, 8.14, 8.16, 8.17, 8.18, 8.22, 8.24, 8.26, 8.30, 8.34 		Accelerating Frames and Tides
3/7 Wed. 02/01 Sections 9.3 - 9.4 Rotating Frames
3/8 Fri. 02/03 Sections 9.5 - 9.6
Newton's 2nd Law in Non-inertial Frames
4/9 Mon. 02/06 Sections 9.7 - 9.8
Coriolis ''Force''
4/10 Wed. 02/08 Sections 9.9 - 9.10
Foucaullt Pendulum
4/11 Fri. 02/10 Chapter 9
Review and work problems
Mon. 02/13 Chapters 8 and 9
Set 2: 9.2, 9.6, 9.9, 9.10, 9.12, 9.14, 9.16, 9.18, 9.19, 9.22, 9.26, 9.28, 9.30, 9.32, 9.34 		Exam 1
5/12 Wed. 02/15 Sections 10.1 - 10.2 Rotation of Rigid Bodies
5/13 Fri. 02/17 Sections 10.3 - 10.4
Inertia Tensor
6/14 Mon. 02/20 Sections 10.5 - 10.6
Eigenvalue Equations
6/15 Wed. 02/22 Sections 10.7 - 10.8
Euler's Equations
6/16 Fri. 02/24 Sections 10.9 - 10.10
Motion of a Spinning Top
7/17 Mon. 02/27 Chapter 10
Catch up
7/18 Wed. 03/01 Chapter 10
Catch up
7/19 Fri. 03/03
Review and Work Problems
8/20 Mon. 03/06 Sections 11.1 - 11.2
Set 3: 10.2, 10.6, 10.8, 10.12, 10.14, 10.16, 10.18, 10.20, 10.24, 10.30, 10.32, 10.36, 10.40, 10.42, 10.45, 10.48, 10.52, 10.56 		Coupled Oscillators
8/21 Wed. 03/08 Sections 11.3 - 11.4
Weak coupling and the Lagrangian approach
8/22 Fri. 03/10 Sections 11.5 - 11.6
Generalization
Week of 03/12
Spring Break
10/23 Mon. 03/20 Section 11.7
Normal Coordinates
10/24 Wed. 03/22 Chapter 11
Review and work problems
Fri. 03/24 Chapters 10 and 11 Set 4: 11.2, 11.4, 11.6, 11.9, 11.12, 11.14, 11.16, 11.22, 11.24, 11.25, 11.28, 11.32, 11.34 Exam 2
11/25 Mon. 03/27 Sections 13.1 - 13.2
Hamiltonian Formalism
11/26 Wed. 03/29 Sections 13.3 - 13.5
Examples
11/27 Fri. 03/31 Sections 13.6 - 13.7
Phase Space
12/28 Mon. 04/03 Chapter 13
Review and Work Problems
12/29 Wed. 04/05 Chapter 13
Review and Work Problems
12/30 Fri. 04/07 Sections 16.1 - 16.2
Set 5: 13.2, 13.3, 13.4, 13.7, 13.8, 13.10, 13.12, 13.17, 13.18, 13.20, 13.23, 13.26, 13.31, 13.32, 13.35
Wave Equation
13/31 Mon. 04/10 Sections 16.3 - 16.4
Boundary Conditions and 3D
13/32 Wed. 04/12 Sections 16.5 - 16.9
Overview of Stress and strain
13/33 Fri. 04/14 Sections 16.10 - 16.13
Overview of Waves in solids and Fluids
14/34 Mon. 04/17 Chapter 16
Review and work problems
14/35 Wed. 04/19 Chapter 16
Review and work problems
Fri. 04/21 Chapters 13, 16 > Set 6: 16.2, 16.4, 16.9, 16.12, 16.16, 16.20, 16.31, 16.37 Exam 3
15/36 Mon. 04/24 Chapter 14
15/37 Wed. 04/26 Chapter 14
15/38 Fri. 04/28 Chapter 14
16/39 Mon. 05/01 Chapter 15
16/40 Wed. 05/03 Chapter 15
Fri. 05/05 Comprehensive > Set 7: 14.1, 14.3, 14.7, 14.11, 14.18, 15.6, 15.7, 15.12, 15.37, 15.56, 15.67 Final Exam


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