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) |