| 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 |
Table of Contents
Study Materials
Readings
 Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare offers direct links to Amazon.com to purchase the books cited in this course. Click on the Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT to continue offering open access to MIT courses. |
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.