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    Readings

    The cited chapter/section numbers are in the course textbook:

    Amazon logo 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 super-magic formulae 3.4, 3.5 theory
    5 Super-magic formula, degrees of freedom, non-standard coordinates, kinematic constraints 3.5 problems, 3.6
    II. 2D Motion of system of particles
    6 Single particle: momentum, Newton's laws, work-energy principle, collisions 4.1, 4.2
    7 Impulse, skier separation problem

    4.4

    Handout: note on in-class problem — skier sliding on semicircular mountain (PDF)
    8

    Single particle: angular momentum, example problem

    Two particles: dumbbell problem, torque

    		 4.3, 6.1, 6-2.1
    9 Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque = I*alpha 6.2
    10 Three cases, rolling disc problem 6-3.1, 6-3.2 (restrict to 2D, most of the material is 3D)
    11 Work-energy 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 5-4.1, 5-5 (see equations alone), examples in 5-5 without generalized force calculations
    15 Lagrangian derivation 5-4.3, 5-4.4
    16 Generalized forces, double pendulum problem 5-4.4, examples in 5-5, 6-5, 2D examples in 6-6
    17 Example problem Examples in 5-5, 6-5, 2D examples in 6-6
    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 8-1, 8-3 introduction
    22 Free response of a damped oscillator 8-3.1
    23 Free response (cont.) 8-3.1
    24 Free response (cont.), forced response

    8-3.5

    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