Imagine solving the equations of motion using the Lagrangian or the Hamiltonian


Imagine solving the equations of motion using the Lagrangian or the Hamiltonian

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About the Author: livescience

20 Comments

  1. Is there an explanation why the smaller arm never spins clockwise? It almost does but always swings back before completing a full turn. It might be even a half turn or less than a full 360 but it’s at least bounded at less than a full turn clockwise in this video.

  2. Would be better if the bar were inline with each other. Think about the lateral torques happening in this thing, it’s annoying.

  3. having classical mechanics 2 flashbacks lol…. I actually liked that class. You feel like a mathematical badass.

  4. I have three of these going all the time. I replace the 4 AA batteries every few months and it’s totally worth it.

  5. In my advanced mechanics course we discussed it in a student presentation. I don’t remember how much of a pain the equations of motion were, I can probably still look up the recording of it.
    There was an [art installation](https://youtube.com/watch?v=cYWvH06oQiM&feature=share) called ‘mobilarium’ somewhere in the Netherlands that used this principle but with 2×3 moving parts, driven by wind. Sadly it was torn down a few years ago and has been stowed away somewhere since.

  6. Ah yes, this is one of those systems where technically if you have all the values measured you should be able to predict its next step, but a small error in measurement leads to wildly different realities.

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