| 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 |
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