Readings

Required Texts

Williams, J. H., Jr. Fundamentals of Applied Dynamics. New York, NY: John Wiley and Sons, Inc., 2006. ISBN: 9780470133859. (Williams)

Bedford, A., and Wallace L. Fowler. Engineering Mechanics: Dynamics. 2nd ed. Menlo Park, CA: Addison-Wesley Publishing, Inc., 1998. ISBN: 9780201180718. (Bedford and Fowler)

The readings consist of selected chapters from Williams and the lecture notes.

SES # Topics READINGS
I. Motion of a Single Particle
L1-L3

Kinematics: Trajectory, Velocity, Acceleration, Inertial Frame, Moving Frames

Forces and Torques

Linear Momentum Principle

Angular Momentum Principle

Work-Energy Principle

Equations of Motion

Chapters 1 and 2

Sections 4-1, 4-2, 4-3, 5-1, 5-2, and 5-3

Appendices C-1 to C-3.6

Hints on Spherical Coordinates (PDF)

II. Motion of Systems of Particles
L4-L6

Internal and External Forces

Linear Momentum Principle

Angular Momentum Principle

Work-Energy Principle

Conservative Systems

Impulsive Forces

Collisions

Collisions: Bedford and Fowler, 5.1, 5.3, and 5.4

III. 2D Motion of Rigid Bodies
L7-L12

Kinematics: Angular Velocity, Instantaneous Center of Rotation

Linear Momentum Principle

Angular Momentum Principle

Work-Energy Principle

Parallel Axis Theorem

 
IV. Introduction to Lagrangian Dynamics
L13-L19

Constraints and Forces

Ideal Constraints

Virtual Displacements

Virtual Work

D’Alembert’s Principle

Generalized Coordinates and Forces

Lagrangian Equations of Motion For 2D Holonomic Systems of Particles

Equilibria

Linearization of Equations

Stability

Chapter 5

Appendices D, E, and F

V. Vibrations
L20-L24

1-Degree-of-Freedom Oscillations: Natural Frequencies, Free-, Damped-, and Forced Response

Multi-Degree-of-Freedom Oscillations: Natural Frequencies, Normal Modes, Free-, Damped-, and Forced Response

Time Response

Frequency Response

Bode Plots

Sections 8-1, 8-2, and 8-3

Learning Resource Types

assignment Problem Sets
grading Exams
notes Lecture Notes