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Concept · from MIT 2.003SC Engineering Dynamics

Lagrange Equations

About these materials

MIT's own material for this topic, in MIT's order: Lagrange Equations; Lagrange Equations Continued.

Source: MIT OpenCourseWare 2.003SC Engineering Dynamics, Fall 2011, Prof. J. Kim Vandiver, Prof. David Gossard — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them; the sessions follow MIT's sequence. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

Lagrange Equations

MIT 2.003SC · · This session on MIT OpenCourseWare ↗

Session Overview

  1. Notation SystemsLecture video · transcript Watch
  2. Lecture 15: Introduction to Lagrange With ExamplesLecture video · transcript Watch
  3. Generalized coordinate definitionsLecture clip · 0:21–1:21:17 · 1:20:56 long · transcript Watch
  4. Complete, independent and holonomicLecture clip · 37:40–1:21:17 · 43:37 long · transcript Watch
  5. Example problemsLecture clip · 59:07–1:21:17 · 22:10 long · transcript Watch

Session Overview · Recitation Video and Notes

  1. Recitation 8: Cart and Pendulum, Lagrange MethodProblem-solving video · transcript Watch

Lagrange Equations Continued

This session on MIT OpenCourseWare ↗

Session Overview

MIT gives no solution for these problems on this page.

Videos · Lecture Videos

  1. Lecture 16: Kinematic Approach to Finding Generalized ForcesLecture video · transcript Watch
  2. Concept question discussionLecture clip · 0:41–1:13:31 · 1:12:50 long · transcript Watch
  3. Kinematic approach to finding generalized forces Example of a wheel on moving cart with an inclineLecture clip · 28:14–1:13:31 · 45:17 long · transcript Watch
  4. Mass sliding on rod exampleLecture clip · 1:05:16–1:13:31 · 8:15 long · transcript Watch
  5. Lecture 17: Practice Finding EOM Using Lagrange EquationsLecture video · transcript Watch
  6. New formula for computing torque about moving pointsLecture clip · 0:22–1:17:53 · 1:17:31 long · transcript Watch
  7. Example of hockey puck with a pull string-direct methodLecture clip · 9:25–1:17:53 · 1:08:28 long · transcript Watch
  8. Hockey puck by LagrangeLecture clip · 20:21–1:17:53 · 57:32 long · transcript Watch
  9. Condensing many forces to one force and one moment at center of massLecture clip · 40:46–1:17:53 · 37:07 long · transcript Watch
  10. Generic pendulum by LagrangeLecture clip · 50:15–1:17:53 · 27:38 long · transcript Watch
  11. Examples: Atwood's machine and falling stickLecture clip · 1:00:13–1:17:53 · 17:40 long · transcript Watch

Videos · Recitation Video and Notes

  1. Recitation 9: Generalized ForcesProblem-solving video · transcript Watch

Check Yourself · Concept Question Answer Key and Problem Set Solutions

Where this sits in MIT 2.003SC

Open this session in the full course 2.003SC Engineering Dynamics: all units →

MIT OpenCourseWare, Prof. J. Kim Vandiver, Prof. David Gossard, 2.003SC Engineering Dynamics, Fall 2011.

License: CC BY-NC-SA 4.0 · Edition: Fall 2011 · Open the original course on OCW ↗

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