Principal Axes of Inertia WITHOUT the Inertia Tensor

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  • เผยแพร่เมื่อ 23 ธ.ค. 2024

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  • @fizixx
    @fizixx ปีที่แล้ว +1

    Am REALLY liking this series. Each step adds more detail. Question: Shouldn't all the principal axes always be stable? That part puzzles me.

    • @DeltaGPhys
      @DeltaGPhys ปีที่แล้ว +1

      Rotation around the axes with the largest and smallest moments of inertia is stable, and the intermediate one is unstable, AKA the 'tennis racket theorem,' which this simulation showed really well, though Rhett could maybe point out that result

    • @DotPhysics
      @DotPhysics  ปีที่แล้ว +2

      No, there's some theorem (can't remember the name - I will look it up) that says the middle eigenvalue axis is unstable. That's why when you toss a block in the air, you can get it to rotate around two of the axes, but not the third.

    • @parthvarasani495
      @parthvarasani495 ปีที่แล้ว

      @@DotPhysics intermediate axis theorem .

    • @DeltaGPhys
      @DeltaGPhys ปีที่แล้ว

      @@DotPhysics ...the tennis racket theorem (see above, lol) :)

    • @fizixx
      @fizixx ปีที่แล้ว

      @@DotPhysics 👍 Thanks. Oh ok. I wasn't aware of that. I can look through what I have too.

  • @parthvarasani495
    @parthvarasani495 ปีที่แล้ว +1

    Your effort is awesome 🎉🎉

    • @DotPhysics
      @DotPhysics  ปีที่แล้ว +2

      Glad you like it - this last one was fun (at least for me).

  • @rohan0709
    @rohan0709 ปีที่แล้ว +1

    ❤❤❤