The cited chapter/section numbers are in the course textbook:
Williams, J. H., Jr. Fundamentals of Applied Dynamics. New York, NY: John Wiley and Sons, Inc., 2006. ISBN: 9780470133859.
SES #  TOPICS  READINGS 

I. Motion of a single particle  
1 
Course information Begin kinematics: frames of reference and frame notation 
1 
2 
The “spider on a Frisbee” problem Kinematics using first principles: “downconvert” to ground frame 
3.1, 3.2 
3  Pulley problem, angular velocity, magic formula 
3.3, beginning of 3.4 Handout: kinematics (PDF) 
4  Magic and supermagic formulae  3.4, 3.5 theory 
5  Supermagic formula, degrees of freedom, nonstandard coordinates, kinematic constraints  3.5 problems, 3.6 
II. 2D Motion of system of particles  
6  Single particle: momentum, Newton’s laws, workenergy principle, collisions  4.1, 4.2 
7  Impulse, skier separation problem 
4.4 Handout: note on inclass problem — skier sliding on semicircular mountain (PDF) 
8 
Single particle: angular momentum, example problem Two particles: dumbbell problem, torque 
4.3, 6.1, 62.1 
9  Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque = I*alpha  6.2 
10  Three cases, rolling disc problem  63.1, 63.2 (restrict to 2D, most of the material is 3D) 
11  Workenergy principle  
12  Exam 1 recap  Handout: rigid body dynamics (PDF) 
13  Exam 1  
III. Introduction to Lagrangian dynamics  
14  Generalized coordinates, introduction to Lagrangian, example problem  54.1, 55 (see equations alone), examples in 55 without generalized force calculations 
15  Lagrangian derivation  54.3, 54.4 
16  Generalized forces, double pendulum problem  54.4, examples in 55, 65, 2D examples in 66 
17  Example problem  Examples in 55, 65, 2D examples in 66 
18 
Exam 2 recap Inverted pendulum, phase plots 
Handout: Lagrangian formulation (PDF) 
19  Exam 2  
20  Helicopter dynamics  
IV. Vibrations  
21  Single DOF system: equilibrium, linearization, stability analysis  81, 83 introduction 
22  Free response of a damped oscillator  83.1 
23  Free response (cont.)  83.1 
24  Free response (cont.), forced response 
83.5 Handout: the behavior of dynamic systems (PDF) 
25 
Forced response (cont.), Bode plots Putting it all together (free + forced) 

26  Final exam review  
27  Final exam 