Classical dynamics: spinning eggs--a paradox resolved

Nature
H K Moffatt, Y Shimomura

Abstract

If a hard-boiled egg is spun sufficiently rapidly on a table with its axis of symmetry horizontal, this axis will rise from the horizontal to the vertical. (A raw egg, by contrast, when similarly spun, will not rise.) Conversely, if an oblate spheroid is spun sufficiently rapidly with its axis of symmetry vertical, it will rise and spin about the vertical on its rounded edge with its axis of symmetry now rotating in a horizontal plane. In both cases, the centre of gravity rises; here we provide an explanation for this paradoxical behaviour, through derivation of a first-order differential equation for the inclination of the axis of symmetry.

Citations

Jul 20, 2012·Annual Review of Marine Science·Hans G Dam
Feb 6, 2014·Proceedings of the National Academy of Sciences of the United States of America·Farooq Ahmed
Jul 16, 2017·Physical Review. E·Yoichiro Kondo, Hiizu Nakanishi

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