Bryan Owens and Frederick Jao prepared these notes specifically for MIT OpenCourseWare.
| SES # | TOPICS | |
|---|---|---|
| I. Motion of a Single Particle | ||
| L1 | Newton’s Laws, Cartesian and Polar Coordinates, Dynamics of a Single Particle (PDF) | |
| L2 | Work-Energy Principle (PDF) | |
| L3 | Dynamics of a Single Particle: Angular Momentum (PDF) | |
| II. Motion of Systems of Particles | ||
| L4 | Systems of Particles: Angular Momentum and Work-Energy Principle (PDF) | |
| L5 | Systems of Particles: Example 1: Linear Momentum and Conservation of Energy, Example 2: Angular Momentum (PDF) | |
| L6 | Collisions (PDF) | |
| III. 2D-Motion of Rigid Bodies | ||
| L7 | 2D-Motion of Rigid Bodies: Kinematics (PDF) | |
| L8 | 2D-Motion of Rigid Bodies: Kinematics - Instant Centers; Kinetics (PDF) | |
| L9 | 2D-Motion of Rigid Bodies: Kinetics, Parallel Axis Theorem (PDF) | |
| L10 | 2D-Motion of Rigid Bodies: Falling Stick Example, Work-Energy Principle (PDF) | |
| L11 | 2D-Motion of Rigid Bodies: Finding Moments of Inertia, Rolling Cylinder with Hole Example (PDF) | |
| L12 | 2D-Motion of Rigid Bodies: Rolling Cylinder and Rocker Examples (PDF) | |
| IV. Introduction to Lagrangian Dynamics | ||
| L13 | Lagrangian Dynamics: Generalized Coordinates and Forces (PDF) | |
| L14 | Lagrangian Dynamics: Virtual Work and Generalized Forces (PDF) | |
| L15 | Lagrangian Dynamics: Derivations of Lagrange’s Equations and Examples (PDF) | |
| L16 | Lagrangian Dynamics: Examples (PDF) | |
| L17 | Lagrangian Dynamics: Examples and Equilibrium Analysis (PDF) | |
| L18 | Lagrangian Dynamics: Examples and Equilibrium Analysis (cont.) (PDF) | |
| L19 | Lagrangian Dynamics: Examples and Equilibrium Analysis (cont.) (PDF) | |
| V. Vibrations | ||
| L20 | Vibrations: Second Order Systems with One Degree of Freedom - Free Response (PDF) | |
| L21 | Vibrations: Second Order Systems with One Degree of Freedom - Forced Response (PDF) | |
| L22 | Vibrations: Free Response of Multi-Degree-of-Freedom Systems (PDF) | |
| L23 | Vibrations: Two Degrees of Freedom Systems - Wilberforce Pendulum (PDF) | |
| L24 | Vibrations: Forced Response of Multi-Degree-of-Freedom Systems (PDF) | |
