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 ??? and can be reached via email at ???@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
Review and Work Problems
7/18 Wed. 03/01 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
7/19 Fri. 03/03 Sections 11.3 - 11.4
Weak coupling and the Lagrangian approach
8/20 Mon. 03/06 Sections 11.5 - 11.6
Generalization
8/21 Wed. 03/08 Section 11.7
Normal Coordinates
8/22 Fri. 03/10 Chapter 11
Review and Work Problems
Week of 03/12
Spring Break
10/23 Mon. 03/20 Chapter 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
Review and Work Problems
Wed. 03/22 Chapters 10 and 11 Exam 2
11/17 Mon. 04/5 Sections 13.1 - 13.2
Hamiltonian Formalism
11/18 Wed. 04/7 Sections 13.3 - 13.5
Examples
12/19 Mon. 04/12 Sections 13.6 - 13.7
Phase Space
Wed. 04/14 Chapters 11, 13 Set 6: 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
Exam 3
13/20 Mon. 04/19 Chapter 12 Group
Student Presentations
13/21 Wed. 04/21 Chapter 12 Group
Student Presentations
14/22 Mon. 04/26 Chapter 14 Group
Student Presentations
14/22 Wed. 04/28 Chapter 14 Group
Student Presentations
15/23 Mon. 05/3 Chapter 15 Group
Student Presentations
15/24 Wed. 05/5 Chapter 15 Group
Student Presentations
15/24 Mon. 5/10 Chapter 16 Group
Student Presentations
15/24 Wed. 5/12 Chapter 16 Group
Student Presentations


In an effort to meet obligations under Title IX, UNM faculty, Teaching Assistants, and Graduate Assistants are considered “responsible employees” by the Department of Education (see pg 15 - http://www2.ed.gov/about/offices/list/ocr/docs/qa-201404-title-ix.pdf). This designation requires that any report of gender discrimination which includes sexual harassment, sexual misconduct and sexual violence made to a faculty member, TA, or GA must be reported to the Title IX Coordinator at the Office of Equal Opportunity (oeo.unm.edu). For more information on the campus policy regarding sexual misconduct, see: https://policy.unm.edu/university-policies/2000/2740.html

In accordance with University Policy 2310 and the Americans with Disabilities Act (ADA), academic accommodations may be made for any student who notifies the instructor of the need for an accommodation. It is imperative that you take the initiative to bring such needs to the instructor’s attention, as he/she are not legally permitted to inquire. Students who may require assistance in emergency evacuations should contact the instructor as to the most appropriate procedures to follow. Contact Accessibility Resource Center at 277-3506 for additional information.

Each student is expected to maintain the highest standards of honesty and integrity in academic and professional matters. The University reserves the right to take disciplinary action, up to and including dismissal, against any student who is found