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mfb

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I'm sure a finite-element analysis can give some approximation, and I'm also quite sure that there is no analytic solution to the problem. In a purely theoretical situation, the bottle will get slower and slower without fully stopping.

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mfb

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Or, rolling horizontally across the surface.

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mfb

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For a realistic bottle - probably, yes.

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No, it is not vertical! The axes and the bottle is horizontal!

I'm sure a finite-element analysis can give some approximation, and I'm also quite sure that there is no analytic solution to the problem. In a purely theoretical situation, the bottle will get slower and slower without fully stopping.

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mfb

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Still, simulations will give some result, it will probably never stop completely, and I am quite sure there is no analytic solution.

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