# Lecture Notes

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)

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assignment Problem Sets