Last update: 2010 Oct 07
 

Physics 430 - Fall 2010 - Section 001

 

Classical Mechanics (Prof. Dale E. Gary -- http://web.njit.edu/~gary)

Lecture: Tuesday, 8:30 - 9:55 am, Thursday, 11:30 am- 12:55 pm. Room 313 FMH (Faculty Memorial Hall)

Text: Classical Mechanics—John R. Taylor—ISBN-10: 189138922X; ISBN-13: 978-1891389221

Announcements:

Here is a copy for printing of the syllabus (75 kBytes) and Fall academic calendar (15 kBytes) for Phys 430.

Office Hours for Dale E. Gary: Wed, Thurs 10:00-11:30 AM, in 101 Tiernan

We will be using the Phun physics engine quite regularly in class and for exercises. Please download the current version of Phun (Phun beta 5) at http://www.phunland.com/wiki/Download.

We will also be using Matlab rather extensively. Download and install the latest version of Matlab (2010a) at http://ist.njit.edu/software/display.php?id=406. (Windows), http://ist.njit.edu/software/display.php?id=405 (Linux), or http://ist.njit.edu/software/display.php?id=402 (MacOS).

Grading

Your final grade in Physics 430 will be determined by your performance on the following:

  1. Exams: Two exams will be given during the normal class period. The schedule is:
    • Exam 1 : Tuesday, October 5, 8:30 am – 9:55 pm
    • Exam 2 : Tuesday, November 9, 8:30 am – 9:55 pm
  2. Final Exam: A comprehensive examination of the entire semester's work will be given at the end of the semester, sometime during the period (TBA) December 10 - 16. 2.5 hours long.
  3. Homework: Homework assignments are due each week, at the start of the Tuesday class.
  4. Attendance: As Woody Allen said, "90% of life is just showing up." Attendance at lectures is expected, and there is an "easy" 10% of your grade allotted to simply showing up and participating in class. If class attendance becomes a problem, quizzes during class will be instituted!

The final grades will be based on a composite score that includes each common exam score, the final exam, short quizzes, and the term's homework score. Here are the approximate weights to be used for calculating the final grade and the final grade scale:
Relative weights of grade components Total score Final Grade
30% for all three common exams (15% each) 80% and more A
30% for the final exam 65% - 79% B
30% for the total homework + quiz grade 55% - 64% C
10% for attendance and class participation 50% - 54% D
  49% and less F

Getting Help:

This course is expected to be challenging, but you do not have to learn alone! You can seek help during Prof. Gary's office hours, W, Th, 10-11:30 am. There will also be help sessions prior to the two mid-term exams.

Honor Code Violations or Disruptive Behavior:

NJIT policy is zero-tolerance for cheating of any kind and for student behavior that disrupts learning by others. Incidents will be immediately reported to the Dean of Students. The penalties for violations range from a minimum of failure in the course plus disciplinary probation up to expulsion from NJIT with notations on a students' permanent record. Avoid situations where your own honorable behavior could be misinterpreted. Students will be required to adhere to the NJIT Honor Code.

Assignments:

The weekly text and homework assignments are listed in the schedule below. It is not possible to succeed in this course without working a lot of problems, and this is reflected in the weighting of the homework problems--30% of the total grade.

  • The weekly text readings and homework problems are from Classical Mechanics, by John R. Taylor, as indicated in the table below. Read each assigned section before the Lecture covering the material in it. We suggest that you download the lectures, which will be posted ahead of the class time and bring them to class.
  • You may work together in completing the homework, however, each student must turn in his/her own weekly assignment. You are accountable for knowing what is on your homework papers. Handing in a paper containing someone else's work is a violation of the honor code.
  • The homeworks are due by the start of class each Tuesday. Note that homework is due even on the two exam days. Late work will be accepted up to one week late, at 50% penalty. After 1 week, no credit will be given.

Courtesy:

Please do not eat, drink, or create noise that interferes with the work of students or instructors. Cellular phones, wireless devices, notebook computers, and messaging devices of all kinds should be turned off during class meetings and exams.

Syllabus

Any changes to the syllabus will be discussed with students.

Lecture and Topics Covered

Reading Assignments

Homework Assignments
(all due at start of class on due date)

August 31, Lecture 1
Mass, Force, Newton's Laws

Chapter 1: 1.1-1.5

HW Probs: 1.5, 1.A, 1.19, 1.B (Phun exercise)

(HW 1a due, Sept. 7)

September 2, Lecture 2
Newton's 2nd Law in Cartesian and Polar Coordinates

Chapter 1: 1.6-1.7

HW Probs: 1.38, 1.44, 1.C

(HW 1b due, Sept. 7)

September 7, Lecture 3
Linear Air Resistance

Chapter 2: 2.1-2.3

HW Probs: 2.A, 2.1, 2.6, 2.20

(HW 2a due, Sept. 14)

September 9, Lecture 4
Quadratic Air Resistance
Matlab Files:
quad_drag_demo.m quad_drag.m int_yp.m

Chapter 2: 2.4-2.5

HW Probs: 2.B, 2 .24, 2.36, 2.38

(HW 2b due, Sept. 14)

September 14, Lecture 5
Complex Exponentials, Rockets

Chapter 2: 2.6-2.7
Chapter 3: 3.1-3.2

HW Probs: 2.46, 3.A, 3.2, 3.6, 3.B

(HW 3a due, Sept. 21)

September 17, Lecture 6 (NB: Friday class!)
Center of Mass, Angular Momentum

Chapter 3: 3.3-3.5

HW Probs: 3.22, 3.33, 3.C

(HW 3b due, Sept. 21)

September 21, Lecture 7
Kinetic and Potential Energy

Chapter 4: 4.1-4.2

HW Probs: 4.2, 4.4, 4.8

(HW 4a due, Sept. 28)

September 23, Lecture 8
Force and Potential Energy

Chapter 4: 4.3-4.6

HW Probs: 4.11, 4.12, 4.23, 4.28

(HW 4b due, Sept. 28)

September 28, Lecture 9
Curvilinear Systems, Central Forces

Chapter 4: 4.7-4.8

HW Probs: 4.30, 4.34, 4.37, 4.44

(HW 5a due, Oct. 5)

October 1, Lecture 10 (NB: Friday class!)
Energy of Interaction

Chapter 4: 4.9-4.10

HW Probs: 4.48, 4.50, 4.53

(HW 5b due, Oct. 5)

Exam 1: October 5
Tuesday, 8:30-9:55 Exam 1 Distribution Exam 1 Solution

 

Covers Lectures 1-10
Chapters 1-4

October 7, Lecture 11 Oscillations

Chapter 5: 5.1-5.2

HW Probs: 5.1, 5.2, 5.4, 5.7, 5.A ocillating_box.phz

(HW 6 due, Oct. 15)

October 12: Lecture 12 Two Dimensional Oscillators

Chapter 5: 5.3-5.4

HW Probs: 5.14, 5.28, 5.B, 5.C, 5.D

(HW 7a due, Oct. 21)

October 15: Lecture 13 (NB: Friday class!) Driven Oscillations and Resonance

Chapter 5: 5.5-5.6

HW Probs: 5.33, 5.36, 5.E

(HW 7b due, Oct. 21)

October 19: Lecture 14 Calculus of Variations

Chapter 6: 6.1-6.4

HW Probs: 6.5, 6.7, 6.A, 6B

(HW 8a due, Oct. 28)

October 21: Lecture 15 Lagrange's Equations

Chapter 7: 7.1-7.2

HW Probs: 7.1, 7.4, 7.8

(HW 8b due, Oct. 28)

October 26: Lecture 16 Lagrange's Equations with Constraints

Chapter 7: 7.3-7.4

HW Probs: 7.A, 7.B, 7.9, 7.11, 7.14, 7.16

(HW 9a due, Nov. 4)

October 28: Lecture 17 Examples of Lagrange's Equations problem_7_42.m, oscillator_eq.m

Chapter 7: 7.5-7.7

HW Probs: 7.29, 7.30, 7.42 (computer), 7.C, 7.D

(HW 9b due, Nov. 4)

November 02: Lecture 18 Two-Body, Central Force Problems

Chapter 8: 8.1-8.5

HW Probs: 8.1, 8.7, 8.12, 8.A, 8.B

(HW 10a due, Nov. 12)

November 04: Lecture 19 Kepler Orbits

Chapter 8: 8.6-8.8

HW Probs: 8.16, 8.18, 8.29

(HW 10b due, Nov. 12)

Exam 2: November 9
Tuesday, 8:30-9:55 Exam 2 Solution

 

Covers Lectures 11-19
Chapters 5-8

November 12: Lecture 20 (NB: Friday class!) Non-Inertial Frames

Chapter 9: 9.1-9.4

HW Probs: 9.A, 9.B, 9.1, 9.3, 9.4, 9.5, 9.C

(HW 11 due, Nov. 19)

November 16: Lecture 21 Rotating Frames

Chapter 9: 9.5-9.9

HW Probs: 9.9, 9.14, 9.26, 9.29

(HW 12a due, Nov. 24)

November 19 : Lecture 22 (NB: Friday class!) Rotation About a Fixed Axis

Chapter 10: 10.1-10.2

HW Probs: 10.7, 10.9, 10.15

(HW 12b due, Nov. 24)

November 23: Lecture 23 Inertia Tensor and Principle Axes

Chapter 10: 10.3-10.6

HW Probs: 10.24, 10.25, 10.36, 10.39, 10.A, 10.B

(HW 13 due, Dec. 3)

Thanksgiving November 25

Recess

No class

November 30 : Lecture 24 Euler's Equations

Chapter 10: 10.7-10.8

HW Probs: 10.42, 10.43, 10.45

(HW 14a due, Dec. 9)  

December 3: Lecture 25 (NB: Friday class!) Coupled Oscillators

Chapter 10: 11.1-11.3

HW Probs: 11.2, 11.3, 11.5 11.6, 11.7

(HW 14b due, Dec. 9)  

December 7: Exam Review

(was Lagrangian Approach )

Review All

HW Probs: None

Reading Day: December 9

No classes

Optional Review Sessions

Final Exam Period

December 10 - 16

Comprehensive final exam