Courses:

Dynamics and Control I >> Content Detail



Lecture Notes



Lecture Notes

Bryan Owens and Frederick Jao prepared these notes specifically for MIT OpenCourseWare.


SES #TOPICS
I. Motion of a Single Particle
L1Newton's Laws, Cartesian and Polar Coordinates, Dynamics of a Single Particle (PDF)
L2Work-Energy Principle (PDF)
L3Dynamics of a Single Particle: Angular Momentum (PDF)
II. Motion of Systems of Particles
L4Systems of Particles: Angular Momentum and Work-Energy Principle (PDF)
L5Systems of Particles: Example 1: Linear Momentum and Conservation of Energy, Example 2: Angular Momentum (PDF)
L6Collisions (PDF)
III. 2D-Motion of Rigid Bodies
L72D-Motion of Rigid Bodies: Kinematics (PDF)
L82D-Motion of Rigid Bodies: Kinematics - Instant Centers; Kinetics (PDF)
L92D-Motion of Rigid Bodies: Kinetics, Parallel Axis Theorem (PDF)
L102D-Motion of Rigid Bodies: Falling Stick Example, Work-Energy Principle (PDF)
L112D-Motion of Rigid Bodies: Finding Moments of Inertia, Rolling Cylinder with Hole Example (PDF)
L122D-Motion of Rigid Bodies: Rolling Cylinder and Rocker Examples (PDF)
IV. Introduction to Lagrangian Dynamics
L13Lagrangian Dynamics: Generalized Coordinates and Forces (PDF)
L14Lagrangian Dynamics: Virtual Work and Generalized Forces (PDF)
L15Lagrangian Dynamics: Derivations of Lagrange's Equations and Examples (PDF)
L16Lagrangian Dynamics: Examples (PDF)
L17Lagrangian Dynamics: Examples and Equilibrium Analysis (PDF)
L18Lagrangian Dynamics: Examples and Equilibrium Analysis (cont.) (PDF)
L19Lagrangian Dynamics: Examples and Equilibrium Analysis (cont.) (PDF)
V. Vibrations
L20Vibrations: Second Order Systems with One Degree of Freedom - Free Response (PDF)
L21Vibrations: Second Order Systems with One Degree of Freedom - Forced Response (PDF)
L22Vibrations: Free Response of Multi-Degree-of-Freedom Systems (PDF)
L23Vibrations: Two Degrees of Freedom Systems - Wilberforce Pendulum (PDF)
L24Vibrations: Forced Response of Multi-Degree-of-Freedom Systems (PDF)

 








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