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A Simple Lissajous Figure Device (Journal Article)

By: Contributor(s): Material type: TextTextSeries: The Physics Teacher ; Volume 62, Number 3, March 2024Publication details: Washington :American Association of Physics Teachers , March 2024Description: 194–195pISSN:
  • 0031-921X
Subject(s): Online resources: Summary: Abstract: Adding two motions together can give an interesting new motion: A decreasing exponential plus an increasing exponential gives a catenary curve.1 Circular motion plus linear motion gives a cycloid. Uniform motion added at right angles to uniformly accelerated motion gives a parabola. Two simple harmonic motions added together in parallel gives beats. Two simple harmonic motions added together at right angles gives Lissajous figures.
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Abstract: Adding two motions together can give an interesting new motion:

A decreasing exponential plus an increasing exponential gives a catenary curve.1

Circular motion plus linear motion gives a cycloid.

Uniform motion added at right angles to uniformly accelerated motion gives a parabola.

Two simple harmonic motions added together in parallel gives beats.

Two simple harmonic motions added together at right angles gives Lissajous figures.

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