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September 21, 2023


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2.003J Dynamics and Control I (Fall 2007, MIT OCW). Instructors: Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, and Dr. Yahya Modarres-Sadeghi.

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. (from ocw.mit.edu)

Course Curriculum

  • Lecture 01 – Course Information; Begin Kinematics Unlimited
  • Lecture 02 – The “Spider on a Frisbee” Problem Unlimited
  • Lecture 03 – Pulley Problem, Angular Velocity, Magic Formula Unlimited
  • Lecture 04 – Magic and Super-magic Formulae Unlimited
  • Lecture 05 – Super-magic Formula, Degrees of Freedom, Non-standard Coordinates Unlimited
  • Lecture 07 – Impulse, Skier Separation Problem Unlimited
  • Lecture 08 – Single Particle; Two Particles Unlimited
  • Lecture 09 – Dumbbell Problem, Multiple Particle Systems, Rigid Bodies, Derivation of Torque Unlimited
  • Lecture 10 – Three Cases, Rolling Disc Problem Unlimited

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