Zero degrees of freedom. Does it has any sense?

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SUMMARY

The discussion centers on the degrees of freedom of an upside-down rotating cone with a constant angular speed. Participants assert that if the rotation is restricted to a static axis, the system possesses no generalized coordinates to describe its movement. The conclusion drawn is that despite the cyclic nature of rotation, the system effectively has zero degrees of freedom due to the constraints imposed on its motion.

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MiGUi
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I was discussing with my friends that problem:

If we have a cone, upside down, rotating with angular speed constant, how much degrees of freedom, the system has?

Ok, I think that if the movement is restricted to rotate around a static axis, and the speed of rotation is constant, you don't have any generalized coordinate to describe the movement...

Is it possible? or even you have a generalized coordinate at last?

Thanks,
MiGUi
 
Last edited:
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I would think that it has a cyclic 360 degree's of freedom.
 
No, the degrees of freedom is the number of coordinates you need to describe the movement.
 

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