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