Lecture 4: Coupled Oscillators, Normal Modes

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Lecture Topics

  • Coupled oscillators
  • Normal modes
  • Multibody system
  • Transient behavior

Lecture Video: Coupled Oscillators, Normal Modes

Prof. Lee analyzes a highly symmetric system which contains multiple objects. By physics intuition, one could identify a special kind of motion – the normal modes. He shows that there is a general strategy for solving the normal modes.

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Lecture Notes

Typed Notes for Lecture 4 (PDF)

This resource may not render correctly in a screen reader.Handwritten Notes for Lecture 4 (PDF - 2.7MB)

Textbook Reading

Chapter 3: Normal Modes (PDF - 1.4MB) 

In-class Demonstrations

HOW IT'S DONE SEE IT IN THE LECTURE
Double Pendulum @ 00:07:24
Weighted Hacksaw Blade @ 00:10:37
Two Rigid Pendulums Coupled with a Spring @ 00:11:29
Two Pendulums Coupled with a Rod @ 00:12:27
Wilberforce Pendulum @ 00:13:24 and @ 00:14:53

Related Resources

Video: Normal Modes from PhET Interactive Simulations project at the University of Colorado Boulder

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