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Course2.003J / 1.053J9 lectures11 h 6 min

Dynamics and Control I

Prof. Nicholas Makris and others · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

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.

Lectures

Video Lectures

  1. Lecture 1: Course information; Begin kinematics 42 min · Video
  2. Lecture 2: The "spider on a Frisbee" problem 1 h 18 min · Video
  3. Lecture 3: Pulley problem, angular velocity, magic formula 1 h 20 min · Video
  4. Lecture 4: Magic and super-magic formulae 1 h 19 min · Video
  5. Lecture 5: Super-magic formula, degrees of freedom, non-standard coordinates, kinematic constraints 1 h 20 min · Video
  6. Lecture 7: Impulse, skier separation problem 1 h 17 min · Video
  7. Lecture 8: Single particle; Two particles 1 h 18 min · Video
  8. Lecture 9: Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque 1 h 21 min · Video
  9. Lecture 10: Three cases, rolling disc problem 1 h 14 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Mechanical Engineering; Civil and Environmental Engineering
Taught by
Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, Dr. Yahya Modarres-Sadeghi
Term
Fall 2007
Level
Undergraduate
Language
English
Subjects
Mathematics, Engineering, Earth and environment
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, Dr. Yahya Modarres-Sadeghi. Dynamics and Control I. Fall 2007. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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