2.003J / 1.053J Dynamics and Control I

As taught in: Fall 2007

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.)

Level:

Undergraduate

Instructors:

Prof. Nicholas Makris

Prof. Peter So

Prof. Sanjay Sarma

Dr. Yahya Modarres-Sadeghi

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 MATLABĀ® 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.

Technical Requirements

Special software is required to use some of the files in this course: .m, .mat, .rm, and .zip.