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

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    Ellipsoid Plane
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The discussion centers on modeling an ellipsoid on a plane that can change angles based on user input. The original poster is struggling to find the right equations and methods, having only encountered the equation of an ellipse. A reference to Poinsot's construction is provided, explaining the motion of an ellipsoid and its constants of motion. This information significantly aids the original poster in understanding the modeling process. Overall, the thread emphasizes the importance of foundational concepts in physics for successful modeling.
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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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