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Mathematica

These are projects created in Wolfram Mathematica.
Links are given to cloud versions but the animations run better if you download the notebook (.nb) files and use Wolfram Player. https://www.wolfram.com/player/

Pedulum Waves

https://www.wolframcloud.com/obj/combsbt/Published/pendula.nb

This is a project made to explain the apparent cyclical motion of an array of pendula as seen in the video below. Click on the image below to see a video.

Watch the video

An interesting part of modeling this came in the form of a small angle approximation. Here you can see the difference in complexity of using the full restoring force (dependent on amplitude) vs. the non-amplitude dependent approximation.

The difference in results can be seen in the notebook file linked above.

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