Final Project (Matura Project) About The Wave Pendulum

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SUMMARY

The forum discussion centers on a high school matura project focused on the wave pendulum, with the user Una seeking guidance on how to contribute uniquely to the research. Key points include the exploration of aliasing in wave pendulums and the suggestion to model pendula with varying weights. Participants emphasize the mathematical differences between uncoupled and coupled pendulum oscillators, highlighting the artistic versus mathematical aspects of the patterns produced. The conversation also touches on the potential for practical experimentation with coupled setups and connections to music theory.

PREREQUISITES
  • Understanding of wave pendulum dynamics
  • Basic knowledge of oscillatory motion
  • Familiarity with mathematical modeling techniques
  • Introductory concepts in music theory
NEXT STEPS
  • Research the mathematical differences between uncoupled and coupled oscillators
  • Explore practical experiments with coupled wave pendulums
  • Investigate the phenomenon of aliasing in wave motion
  • Study the relationship between wave patterns and music theory
USEFUL FOR

Students, educators, and researchers interested in physics, mathematics, and the artistic representation of wave phenomena, particularly those involved in high school science projects.

cyberspacy_
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Hello together
I have to write my matura project, it's kind of a final project of highschool. I decided to examine the wave pendulum. Now I have to decide what the work about exactly is going to be, like what's going to be my own contribution to the work. For example, some researchers showed aliasing in the wave pendulum.

The pendulum wave:
https://sciencedemonstrations.fas.harvard.edu/presentations/pendulum-waves

Now, what could be a possible investigative approach? I had the idea to model a wave pendulum with pendula with varying weight, but I think that's way to simple. Does anybody have an idea?

Kind regards
Una
 
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cyberspacy_ said:
The pendulum wave:
https://sciencedemonstrations.fas.harvard.edu/presentations/pendulum-waves

Now, what could be a possible investigative approach? I had the idea to model a wave pendulum with pendula with varying weight, but I think that's way to simple. Does anybody have an idea?
Can you say what is different between the uncoupled pendulum oscillators in that paper versus coupled oscillators? What is different about the math? IMO, those uncoupled oscillator patterns are just artistic, not very much mathematical, but that's just my opinion.

What is your math background so far for pursuing this project? Have you had a full year of calculus yet?
 
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As @berkeman notes, it is not that interesting from a physics or maths perspective. You could consider why it is so visually appealing. (I have a thought on that.)

Do you understand what it is about the setup that arranges they are uncoupled? If your project should have a practical element, you could experiment with a setup that has coupling. I can see a possible connection with music theory.
 
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