Final Project (Matura Project) About The Wave Pendulum

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The discussion revolves around a high school matura project focused on the wave pendulum, with an emphasis on determining a unique investigative approach. Suggestions include modeling the wave pendulum with varying weights and exploring the differences between uncoupled and coupled pendulum oscillators. Participants highlight the visual appeal of the pendulum's motion while questioning its mathematical significance. There is also a suggestion to incorporate practical experiments with coupled oscillators, potentially linking the project to music theory. The conversation encourages deeper exploration of the physics and mathematics behind the wave pendulum.
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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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