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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.
Course readings.
| 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
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Chapter 5
Appendices D, E, and F
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| 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
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Sections 8-1, 8-2, and 8-3 |