Dynamics and Control I

Photo of a tarantula spider on a frisbee.

Multiple frames of reference help explain the position, velocity and acceleration of a spider on a spinning frisbee. See the video for lecture 2 and the reading on kinematics for more on this introductory problem. (Frisbee photo courtesy of Crys Mascarenas; spider photo courtesy of B. Smith. Collage by MIT OpenCourseWare.)

Instructor(s)

MIT Course Number

2.003J / 1.053J

As Taught In

Fall 2007

Level

Undergraduate

Cite This Course

Course Features

Course Description

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's equations for systems of particles and rigid bodies in planar motion; linearization of equations of motion; linear stability analysis of mechanical systems; free and forced vibration of linear multi-degree of freedom models of mechanical systems; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems.

This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

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MITx Versions

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Makris, Nicholas, Peter So, Sanjay Sarma, and Yahya Modarres-Sadeghi. 2.003J Dynamics and Control I, Fall 2007. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mechanical-engineering/2-003j-dynamics-and-control-i-fall-2007 (Accessed). License: Creative Commons BY-NC-SA


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