Angular Momentum and Tippe Top

Hart, John B.

doi:10.1119/1.1934800

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“…where N is the normal force. The velocity at the point of contact is given by (15) Since the top stays in contact with the horizontal surface, we can eliminate the ver tical translational momentum equation. Thus N is determined the vertical kinemtic constraint.…”

Section: -'mentioning

confidence: 99%

The Dynamics of a Tippe Top

Or¹

1994

SIAM J. Appl. Math.

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Despite the numerous studies devoted to the dynamics of a spinning top, some disputable issues concerning the classical motion still remain unsettled. The complexity of the six degree-of-freedom motion is compounded by the assumptions that must be made about the friction law. In this paper, a numerical model based on a more general description of contact friction is developed to simulate the unusual flip behavior of an old toy, known as the Tippe top. The results appear to explain some of the puzzles raised and disputed by previous investigators.

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Section: -'mentioning

confidence: 99%

The Dynamics of a Tippe Top

Or¹

1994

SIAM J. Appl. Math.

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Constants of the motion for nonslipping tippe tops and other tops with round pegs

Gray¹,

Nickel²

2000

American Journal of Physics

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New and more illuminating derivations are given for the three constants of the motion of a nonsliding tippe top and other symmetric tops with a spherical peg in contact with a horizontal plane. Some rigorous conclusions about the motion can be drawn immediately from these constants. It is shown that the system is integrable, and provides a valuable pedagogical example of such systems. The equation for the tipping rate is reduced to one-dimensional form. The question of sliding versus nonsliding is considered. A careful literature study of the work over the past century on this problem has been done. The classic work of Routh has been rescued from obscurity, and some misstatements in the literature are corrected.

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Angular Momentum and Tippe Top

Cited by 2 publications

References 0 publications

The Dynamics of a Tippe Top

The Dynamics of a Tippe Top

Constants of the motion for nonslipping tippe tops and other tops with round pegs

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