MECH524 Syllabus (Fall, 2010)

Week
Lecture Topics
Reading
Homework
[Problems Worked in Class]

1

(8/23 - 8/27)
  • course introduction
  • terminology, history, demonstrations
  • particle kinematics
    • review, notation

handouts;
Chapter 1

0: sign up for the
MECH524-L course listserv

review undergraduate dynamics;
get ahead on reading;
try in-class problem
2-19

2

(8/30 - 9/3)
  • particle kinematics
    • examples
  • particle dynamics
    • review
    • examples
handouts;
Chapter 2
1: 2-1 (20 pts), 2-6 (30 pts),
2-8 (25 pts), 2-11 (25 pts)
due Wed, 9/8
[2-19]

3

(9/6 - 9/10)

Labor Day (no class on Monday, 9/6)

  • particle dynamics
    • examples
handouts;
Chapter 3
(except 3.7, 3.9)
try in-class problems
3-19, 3-24

4

(9/13 - 9/17)
  • particle dynamics
    • momentum principles
    • work and energy
    • examples
handout
2: 3-1 (15 pts), 3-2 (30 pts),
3-11 (35 pts), 3-15 (20 pts)
due Mon, 9/20
[3-19, 3-24]

5

(9/20 - 9/24)
  • system of particles
    • dynamics
    • work and energy
    • impulse and momentum
    • examples

handout;
Chapter 4
try in-class problem
4-23

6

(9/27 - 10/1)
  • system of particles
    • changing mass systems
    • impact and collision
    • examples
3: 4-1 (20 pts), 4-13 (25 pts),
4-26 (25 pts), 4-30 (30 pts)
due Mon, 10/4
[4-23]

7

(10/4 - 10/8)
  • Exam I review
  • generalized coordinates
  • holonomic and nonholonomic constraints
  • examples
handout;
Chapter 6

read and study Chapter 6 thoroughly

8

(10/11 - 10/15)

 Exam I (Mon, 10/11) - start early, finish late
  • virtual work
4: 6-2 (25 pts), 6-7 (25 pts),
6-21 (25 pts), 6-26 (25 pts)
due Mon, 11/8
try in-class problem
6-1

9

(10/18 - 10/22)
  • Principle of Virtual Work
  • Lagrange's Equation
[6-1]
try in-class problem
6-25

10

(10/25 - 10/29)
  • Lagrange's Equation
    • Lagrange multiplier interpretation
    • examples
handout
[6-25]

11

(11/1 - 11/5)

  • Lagrange's Equation
    • examples
    • proof
  • Exam II review
  • rigid body kinematics and kinetics
    • principal moments of inertia
try in-class problem
7-13

12

(11/8 - 11/12)
  • rigid body kinematics and kinetics
    • energy
    • impulse and momentum

No class on Friday, 11/12 - PLI Day

Chapter 7
(except 7.5, 7.13)
5: 7-12 (20 pts), 7-27 (20 pts),
7-30 (20 pts), 7-46 (20 pts),
stability problem (20 pts)
due Fri, 12/3
[7-13]

13

(11/15 - 11/19)

 Exam II (Wed, 11/17) - start early, finish late
  • perturbation analysis, stability
  • examples
handout;
Section 5.7

read and study Chapter 7 thoroughly

14

(11/22 - 11/26)

Fall Break

15

(11/29 - 12/3)
  • Euler Angles
  • Euler's Equations
  • examples
handout;
Section 7.13
Chapter 8
(8.1, 8.2, 8.3)

16

(12/6 - 12/10)
  • rotational stability
  • chaos [please bring handout to class]
  • review
handouts
  Final Exam (Thursday, 12/16, 11:20am-1:20pm)
in same room as lectures