EM 447/847 Advanced Dynamics

 

Instructor: Dr. M. F. Beatty, Office: BAN 212

Class Meets Tuesday/Thursday 12:00 - 1:30P in Bancroft 306

 

Bulletin Course Description

 

Particle dynamics using Newton's laws, energy principles, momentum principles. Rigid body dynamics using Euler's equations and Lagrange's equations. Variable mass systems. Gyroscopic motion. Prereq. EngrM 373 and Math 220 or 221.

 

Course Outline for Fall Semester 1997

 

Texts: Kinematics - The Geometry of Motion by Beatty,

Dynamics - The Analysis of Motion by Beatty

 

Week

Dates

Subject

Articles

1

Aug.25-29

Particle Kinematics

1.1 - 1.6

2

Sep. 1-5

Particle Kinematics

1.7 - 1.8

3

Sep. 8-12

Elements of Tensor Algebra

3.1 - 3.4, 3.6

4

Sep. 15-19

Finite Rigid Body Rotations

2.1 - 2.4, 3.5

5

Sep. 22-26

Euler's and Chasles" Theorems

3.7 - 3.12

6

Sep. 29-Oct 3

Rigid Body Kinematics

2.8 - 2.11

7

Oct 6-10

Oct 9

Moving Frames - Relative Motion I

Hour Quiz #1 (First "5" weeks)

4.1 - 4.4

8

Oct. 13-17

Moving Frames - Relative Motion II

4.5 - 4.7

9

Oct. 20-24

Advanced Applications

4.8 - 4.12

10

Oct. 27-31

Newton-Euler Laws; Force/Torque

5.1 - 5.12

11

Nov. 3 - 7

Particle/CM Dynamics Problems

6.1 - 6.16

12

Nov. 10-14

Nov 13

Momentum Laws and Work-energy

Hour Quiz #2 (Second 5 weeks)

7.1 - 7.10

13

Nov. 18-21

Inertia Tensor

9.1 - 9.10

14

Nov. 24-28

Rigid Body Rotational Dynamics

10.1 - 10.15

15

Dec. 1-5

Lagrangian Theory

11.1 - 11.7

16

Dec. 8-12

Advanced Applications

11.8 - 11.12

 

Dec. 15

FINAL EXAM 1:00 - 3:00 p.m.

 

 

 

Course Grading Procedures

 

1. The Final Exam: The final examination will cover the entire course content, but the material presented during the period Nov. 18 - Dec. 12 will receive somewhat heavier emphasis, roughly equivalent to an hour test.

 

2. The Grading System:

 

a. 50% for all hour tests.

b. 30% for the final examination.

c. 20% for homework assignments. To earn homework credit, a student must

turn in no fewer than 10 assignments. However, an assignment grade of zero

will be treated as a missed assignment; and late assignments will not be

accepted. Although all homework assignments are compulsory, only the best

10 of all 15 homework scores will be considered in determination of the

homework average.

d. Numerical scores will be translated into letter grades as follows:

A: 90-100; B: 80-89; C: 70-79; D: 60-69; F: <60

 

Class Attendance

 

Attendance is required at all scheduled times. Absence from a test due to illness or similar unusual causes will require a physician's report, which will be confirmed. Frequent, unexcused absences may result in a failing grade being issued. When possible, please advise the instructor of essential absence; or inform the instructor in writing that irregular attendance is anticipated and you expect to handle all subject matter on your own.

 

Cheating

 

Taking unfair advantage of others through cheating of any nature, including the copying of homework assignments from any source, is strictly forbidden. Violators will be dealt with in accordance with the University Rules and will be issued a failing grade for the course.