2.003SC Engineering Dynamics
2.003SC Engineering Dynamics (Fall 2011, MIT OCW). Taught by Professor J. Kim Vandiver, this course introduces the dynamics and vibrations of lumpedparameter models of
mechanical systems. Topics covered include kinematics, forcemomentum formulation for systems of particles and rigid bodies in planar motion, workenergy concepts,
virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies
in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multidegree of
freedom models of mechanical systems and matrix eigenvalue problems.
(from ocw.mit.edu)
Lecture 01  History of Dynamics; Motion in Moving Reference Frames 
Lecture 02  Newton's Laws and Describing the Kinematics of Particles 
Lecture 03  Motion of Center of Mass; Acceleration in Rotating Ref. Frames 
Lecture 04  Movement of a Particle in Circular Motion w/ Polar Coordinates 
Recitation 02  Velocity and Acceleration in Translating and Rotating Frames 
Lecture 05  Impulse, Torque, & Angular Momentum for a System of Particles 
Lecture 06  Torque & the Time Rate of Change of Angular Momentum 
Recitation 03  Motion in Moving Reference Frames 
Lecture 07  Degrees of Freedom, Free Body Diagrams, & Fictitious Forces 
Lecture 08  Fictitious Forces & Rotating Mass 
Recitation 04  Free Body Diagrams 
Lecture 09  Rotating Imbalance 
Lecture 10  Equations of Motion, Torque, Angular Momentum of Rigid Bodies 
Recitation 05  Equations of Motion 
Lecture 11  Mass Moment of Inertia of Rigid Bodies 
Lecture 12  Problem Solving Methods for Rotating Rigid Bodies 
Recitation 06  Angular Momentum and Torque 
Lecture 13  Four Classes of Problems With Rotational Motion 
Lecture 14  More Complex Rotational Problems & Their Equations of Motion 
Recitation 07  Cart and Pendulum, Direct Method 
Lecture 15  Introduction to Lagrange With Examples 
Recitation 08  Cart and Pendulum, Lagrange Method 
Lecture 16  Kinematic Approach to Finding Generalized Forces 
Lecture 17  Practice Finding EOM Using Lagrange Equations 
Recitation 09  Generalized Forces 
Lecture 18  Quiz Review From Optional Problem Set 8 
Lecture 19  Introduction to Mechanical Vibration 
Lecture 20  Linear System Modeling a Single Degree of Freedom Oscillator 
Lecture 21  Vibration Isolation 
Lecture 22  Finding Natural Frequencies & Mode Shapes of a 2 DOF System 
Recitation 10  Steady State Dynamics 
Lecture 23  Vibration by Mode Superposition 
Lecture 24  Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix 
Recitation 11  Double Pendulum System 
Lecture 25  Modal Analysis: Response to IC's and to Harmonic Forces 
Lecture 26  Response of 2DOF Systems by the Use of Transfer Functions 
Lecture 27  Vibration of Continuous Structures: Strings, Beams, Rods, etc. 
Recitation 12  Modal Analysis of a Double Pendulum System 
References 
2.003SC Engineering Dynamics (Fall 2011)
Instructors: Prof. J. Kim Vandiver and Prof. David Gossard. Lecture notes. Assignments and solutions. Exams and solutions. This course introduces the dynamics and vibrations of lumpedparameter models of mechanical systems.
