Solving perpendicular oscillation problems- lissajous

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SUMMARY

The discussion focuses on solving perpendicular oscillatory systems using Lissajous figures, specifically in the context of the MIT Intro. Physics Series by A.P. French. Participants emphasize the importance of understanding the variances in frequency and phase when drawing these figures. The method involves solving two independent equations of motion and plotting individual trigonometric functions at various time points to accurately represent the oscillations. Clarification is sought on the application of these concepts in a practical setting.

PREREQUISITES
  • Understanding of oscillatory motion principles
  • Familiarity with trigonometric functions
  • Knowledge of phase and frequency relationships
  • Experience with graphing techniques for Lissajous figures
NEXT STEPS
  • Study the derivation of Lissajous figures using different frequency ratios
  • Explore the impact of phase shifts on Lissajous patterns
  • Practice solving independent equations of motion in oscillatory systems
  • Review the relevant sections in A.P. French's "Vibrations and Waves" for deeper insights
USEFUL FOR

Students and educators in physics, particularly those studying oscillatory motion and wave phenomena, as well as anyone interested in visualizing complex oscillatory systems through Lissajous figures.

SteveDB
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solving perpendicular oscillation problems-- lissajous

Hi all.
Ok, I am not getting how we're to solve perpendicular oscillatory systems.
How do the variances in frequency, and phase play into the drawing/solving of these systems?
Oh, and this is not a trig class I'm doing. It's an oscillation/wave class.
Do we solve for the individual trig functions, at various points in time, and mark our points within the rectangle, and then draw our lissajous graph?
Some serious clarification would be appreciated.
For what it's worth, I'm using the MIT Intro. Physics Series, A.P. French-- Vibrations and Waves text.
Thanks.
 
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How we're to solve them? Like we would two independent equations of motion (cuz that's what they are).

How to draw their Lissajous figure? Using the method explained thoroughly by French. If you don't understand it, tell me exactly where/what passage confuses you and I'll try to explain it better.
 

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