Lissajou's Figure: Name for Distorted Eight?

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SUMMARY

The discussion centers on the nomenclature of a distorted figure of eight resulting from two simple harmonic motions at right angles with a time period ratio of 1:2. When the phase difference is set at (π)/4 or 3(π)/4, the resulting figure deviates from a perfect eight. Participants suggest that this shape could be referred to as a "distorted eight," but seek confirmation on universally accepted terminology. The conversation also touches on the visual representation of these figures using oscilloscopes, particularly at 60Hz.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with phase differences in waveforms
  • Knowledge of Lissajous figures and their properties
  • Experience with oscilloscopes and signal visualization
NEXT STEPS
  • Research the mathematical equations governing Lissajous figures
  • Explore the effects of varying phase differences on waveform shapes
  • Learn how to create and analyze Lissajous figures using oscilloscopes
  • Investigate the historical context and naming conventions of distorted waveforms
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Students of physics, educators teaching wave motion, and hobbyists interested in waveform visualization and analysis will benefit from this discussion.

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Homework Statement


When 2 simple harmonic motions are applied to a particle at right angles to each other having time periods in the ratio 1:2, you get a figure of eight. When the phase difference is (pi)/4,3(pi)/4,... you don't get a perfect figure of eight.Can it be called a distorted eight or is there any other name? I would like to follow the nomenclature that is universally accepted.That is why I asking.Thanx in advance.

Homework Equations





The Attempt at a Solution

 
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It's a 3-D rotating figure 8, isn't it? We used to put 60Hz into the horizontal of an oscilloscope and rock music into the vertical channel. Great stuff. Especially on the loud, hard bass guitar notes... Lots of rotating lissajou figures with fine treble detail fuzzing it all up...
 

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