Moment of Inertia for a Sphere (about a fixed axis).

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  • Опубліковано 12 вер 2024
  • Here is a derivation of the moment of inertia for a sphere. Bonus - Monte Carlo version in python at the end. Here is the code.
    trinket.io/glo...

КОМЕНТАРІ • 10

  • @ericpug9154
    @ericpug9154 Рік тому +4

    I almost hate to bring this up, but - would you be interested in tackling a model of the tennis racket theorem (Dzhanibekov Effect)?
    (The thing where an object has 3 moments of inertia and flips when rotating freely on the 2nd MOI)
    It might be a cool python animation and graph, but I'm not sure if that would be a fun problem for you to work through. And that's important!
    Edit - I was thinking about it, not working it out, but it seems like something that a simulation would gimbal-lock.

    • @User-jr7vf
      @User-jr7vf Рік тому +1

      I subscribe to that!

    • @DotPhysics
      @DotPhysics  Рік тому +4

      Got it ua-cam.com/video/_q3mTlXNvdc/v-deo.html
      Also here ua-cam.com/video/ddmVqx2qoUc/v-deo.html

    • @ericpug9154
      @ericpug9154 Рік тому +1

      @@DotPhysics so much thanks. I apologize for not searching. I should have known you had already hit this. I think anyone learning moment of inertia should check these out. It’s both freaky and it’s a great demonstration.

  • @claytonhultgren2040
    @claytonhultgren2040 2 місяці тому +1

    Thank you! I was trying to get this result myself and every other example of finding a sphere’s I started with the assumption of the I of a small disk, which seemed unfair. This seems much more generalized.

  • @rbmfavourites7122
    @rbmfavourites7122 7 місяців тому

    Really clear derivation - so much easier to understand if spherical coordinates are used.

  • @johnnychen4052
    @johnnychen4052 11 місяців тому

    Thank you for the extra fun stuff. rly enjoyed it!

  • @Quartzite
    @Quartzite 5 місяців тому

    It could be similar to moi of shell-fixed axis. I got the same result

  • @fizixx
    @fizixx Рік тому +1

    No, no, I'm not leavin', because I like fun stuff! 🙃