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It is usually assumed that the speed of the tippe top at the point of contact with the plane is zero (i.e. there is no slippage). However, as indicated by P. Contensou, this assumption does not lead to a correct physical description of the top's motion. The unusual behavior of the top can be fully
84:, its stem slowly tilts downwards more and more until it suddenly lifts the body of the spinning top off the ground, with the stem now pointing downward. Eventually, as the top's spinning rate slows, it loses stability and eventually topples over, like an ordinary top.
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77:, with a short narrow stem attached perpendicular to the center of the flat circular surface of truncation. The stem may be used as a handle to pick up the top, and is also used to spin the top into motion.
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P. Contensou, Couplage entre frottement de glissement et frottement de pivotement dans la théorie de la toupie
Symposium Celerina, Gyrodynamics, August 20–23, 1962 (2nd edn.), Springer (1963)
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Glad, S. Torkel; Daniel
Petersson; Stefan Rauch-Wojciechowski (2007). "Phase Space of Rolling Solutions of the Tippe Top".
122:, as soon as it is on its stem, it will be spinning clockwise viewed from above. This constant spin direction is due to
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At first glance the top's inversion may mistakenly seem to be a situation where the object spontaneously gains overall
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V.Ph. Zhuravlev and D.M. Klimov, On the dynamics of the
Thompson top (tippe top) on the plane with real dry friction,
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that when spun, will spontaneously invert itself to spin on its narrow stem. It was invented by a German nurse,
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Ebenfeld, S.; Scheck, F. (1995). "A New
Analysis of the Tippe Top: Asymptotic States and Liapunov Stability".
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Leine, R.I.; Glocker, Ch. (2003). "A set-valued force law for spatial
Coulomb-Contensou friction".
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spin in the opposite direction to which its spin was initiated. For example, if the top was spun
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Leine, R.I. and
Glocker, Ch.: A set-valued force law for spatial Coulomb-Contensou friction,
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has in fact increased. What causes the inversion (and the increase in potential energy) is a
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described by considering dry friction forces at the contact point.
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147:– Another spinning physics toy that exhibits surprising behavior
91:. This is because the inversion of the top raises the object's
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Symmetry, Integrability and
Geometry: Methods and Applications
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Bou-Rabee, Nawaf; Jerrold E. Marsden; Louis A. Romero (2008).
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of the top, so the total energy does not actually increase.
166:"Dissipation-Induced Heteroclinic Orbits in Tippe Tops"
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A tippe top usually has a body shaped like a truncated
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257:Cohen, R. J. (1977). "The tippe top revisited".
114:Once the top is spinning on its stem, it does
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153:- a similar dynamical rotation effect
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80:When a tippe top is spun at a high
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468:Eric Weisstein's World of Physics
124:conservation of angular momentum
436:, Vol. 22,2, pp. 193-216, 2003.
49:A tippe top turning upside down
473:"The Tippe Top" by F.A. Bilsen
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434:European Journal of Mechanics
365:10.1016/S0997-7538(03)00025-1
335:European Journal of Mechanics
387:"Espacenet – search results"
259:American Journal of Physics
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242:10.3842/SIGMA.2007.041
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151:Tennis racket theorem
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16:Spinning physics toy
508:Classical mechanics
447:Mechanics of Solids
347:2003EJMS...22..193L
310:1995AnPhy.243..195E
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234:2007SIGMA...3..041G
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120:clockwise
65:in 1898.
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