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Registered Member #46264
Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
When a hard-boiled egg is spun sufficiently rapidly on a table with its axis of symmetry horizontal, the axis will rise from the horizontal to the vertical. The egg's center of mass rising against gravity. The equations of motion from [1] were simulated to make this animation.
[1] Moffatt, H. K., Shimomura, Y. & Branicki, M., 2004, â€Dynamics of an axisymmetric body spinning on a horizontal surface. I. Stability and the gyroscopic approximationâ€, Proc. R. Soc. A. 460, 3643-3672.
Registered Member #46264
Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
Absolutely right, the friction also of course causes a loss of energy (kinetic plus potential) verses time. The equations of motion can also show some very complex behavior for example if the initial spin is large the normal force at the point of contact can oscillate and become so large that the egg jumps off the surface of the table for a short time. This is discussed in the second part of the above paper.
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Animation of the "Rising Egg" Phenomenon
