No problem, glad I could help! Good luck with your modeling!

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  • Thread starter Thread starter burrkie
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    Ellipsoid Plane
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Discussion Overview

The discussion revolves around modeling an ellipsoid on a plane, with a focus on how the ellipsoid should respond to changes in the plane's angle. Participants explore potential equations and methods for this modeling task, expressing uncertainty and seeking guidance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses confusion about how to model an ellipsoid on a plane and seeks equations or methods to start the modeling process.
  • Another participant references a previous thread about an egg rolling on an inclined plane, suggesting a connection to the current modeling challenge.
  • A participant indicates a desire to simplify the problem by focusing on a basic ellipsoid before addressing more complex aspects like changing shape and center of gravity.
  • One participant suggests looking into Poinsot's construction related to the torque-free motion of an ellipsoid, mentioning the constants of motion associated with ellipsoids.
  • A later reply acknowledges the usefulness of the Poinsot's construction reference, indicating it provides clarity on the modeling approach.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on specific equations or methods for modeling the ellipsoid, and multiple viewpoints regarding the approach remain present.

Contextual Notes

Participants express uncertainty about the appropriate equations and methods to use, indicating a need for further clarification and exploration of the topic.

burrkie
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Ok so basically what I'm trying to model is an ellipsoid on a plane, the planes angle can be changed by the user and the ellisoid should move accordingly. But I have absolutely no idea where to start. I've tried finding equations etc but I could't find anything other than the equation of an ellipse and I have no idea where to go now! Does anyone know what equations I should use or what method I should use or anything?
Seriously stuck and just cannot get my head around how to model it, like should I be using an approximation method or what? ARGH!
 
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burrkie said:
Ok so basically what I'm trying to model is an ellipsoid on a plane, the planes angle can be changed by the user and the ellisoid should move accordingly. But I have absolutely no idea where to start. I've tried finding equations etc but I could't find anything other than the equation of an ellipse and I have no idea where to go now! Does anyone know what equations I should use or what method I should use or anything?
Seriously stuck and just cannot get my head around how to model it, like should I be using an approximation method or what? ARGH!

Is this related to your thread in November asking about an egg rolling on an inclined plane?

https://www.physicsforums.com/showthread.php?t=353707

Looks like you got good advice in that thread...
 
yes it is but I am trying to break it down, do this first then try and change the shape and the center of gravity etc but for now a simple ellipsoid is what I am aiming for. I've been trying to find equations and such but I've had no luck so I was hoping I might get some more help if I simplified exactly what I need now and see if anyone can help
 
Look at Poinsot's construction of the torque-free motion of an ellipsoid:
http://en.wikipedia.org/wiki/Poinsot's_construction
Every ellipsoid has 4 independent constants of motion: kinetic energy and three angular momenta about its three principal axes. The result is that the polhode on the inertia ellipsoid rolls on the herpolhode in the invariable plane without slipping.
Bob S
 
Bob S said:
Look at Poinsot's construction of the torque-free motion of an ellipsoid:
http://en.wikipedia.org/wiki/Poinsot's_construction
Every ellipsoid has 4 independent constants of motion: kinetic energy and three angular momenta about its three principal axes. The result is that the polhode on the inertia ellipsoid rolls on the herpolhode in the invariable plane without slipping.
Bob S

thank you very much this helps a lot. Just reading through it gives me a much better idea of what to do!
 

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