Top

A spinning top, or simply a top, is a toy with a squat body and a sharp point at the bottom, designed to be spun on its vertical axis, balancing on the tip due to the gyroscopic effect.

For other senses, see Top (disambiguation), Spinning top (disambiguation), Topspin, and The Spinning Topps.
An assortment of spinning tops

Once set in motion, a top will usually wobble for a few seconds, spin upright for a while, then start to wobble again with increasing amplitude as it loses energy (angular momentum), and finally tip over and roll on its side.

Tops exist in many variations and materials, chiefly wood, metal, and plastic, often with a metal tip. They may be set in motion by twirling a handle with the fingers, by pulling a rope coiled around the body, or by means of a built-in auger (spiral plunger).

Such toys have been used since antiquity in solitary or competitive children games, where each player tries to keep one's top spinning for as long as possible, or achieve some other goal. Some tops have faceted bodies with symbols or inscriptions, and are used like dice to inject randomness into games, or for divination and ritual purposes.

History
Ancient Roman wooden spinning top, from Tebtynis (Egypt), dating from the 1st–3rd century CE

Origins

The top is one of the oldest recognizable toys found on archaeological sites. Spinning tops originated independently in cultures all over the world.[1]

Besides toys, tops have also historically been used for gambling and prophecy. Some role-playing games use tops to augment dice in generating randomized results; it is in this case referred to as a spinner.

Gould mentions maple seeds, celts (leading to rattlebacks), the fire-drill, the spindle whorl, and the potter's wheel as possible predecessors to the top, which he assumes was invented or discovered multiple times in multiple places.[2]

Color demonstrations with tops

A top may also be used to demonstrate visual properties, such as by James David Forbes and James Clerk Maxwell in Maxwell's disc (see color triangle). By rapidly spinning the top, Forbes created the illusion of a single color that was a mixture of the primaries:[3]

[The] experiments of Professor J. D. Forbes, which I witnessed in 1849… [established] that blue and yellow do not make green, but a pinkish tint, when neither prevails in the combination…[and the] result of mixing yellow and blue was, I believe, not previously known.

— James Clerk Maxwell, Experiments on colour, as perceived by the eye, with remarks on colour-blindness (1855), Transactions of the Royal Society of Edinburgh
Large Tin Top with Sound
Maxwell's color top (1895) and one from Popular Science Monthly (1877)

Maxwell took this a step further by using a circular scale around the rim with which to measure the ratios of the primaries, choosing vermilion, emerald, and ultramarine.[4]

Spinning methods

Finger twirling

Smaller tops have a short stem, and are set in motion by twirling it using the fingers. A thumbtack may also be made to spin on its tip in the same way.

Strings and whips
Extract from Children's Games (1560)

A typical fist-sized model, traditionally made of wood with a blunt iron tip, is meant to be set in motion by briskly pulling a string or rope tightly coiled around the body. The rope is best wound starting near the tip and progressing up along the widening body, so that the tension of the string will remain roughly constant while the top's angular speed increases.

These tops may be thrown forward while firmly grasping the end of the string and pulling it back. The forward momentum of the top contributes to the string's tension and thus to the final spin rate.

In some throwing styles, the top is thrown upside-down, but the first loop of the rope is wound around a stubby "head". Then, the sudden yank on the head as the string finishes unwinding causes the spinning top to flip over and land on its tip.

Alternatively, tops of this class may be started by hand but then accelerated and kept in motion by striking them repeatedly with a small whip.

Augers

Some larger models are set in motion by means of a built-in metal auger. In these models, the actual top may be enclosed in a hollow metal shell, with the same axis but decoupled from it; so that the toy may appear to be stationary but "magically" balanced on its tip.

Magnetic fields

Some modern tops are kept perpetually in motion by spinning magnetic fields from a special ground plate.

Notable types
A cheap plastic version of the Pirinola
Carved wooden rattleback

Gould classifies tops into six main types : twirler, supported top, peg-top, whip-top, buzzer, and yo-yo.[5]

Modern tops may have several sophisticated improvements, such as a relatively sharp tip made of ruby or a hard ceramic like tungsten carbide, that reduces the friction with the ground surface. In addition, plastic and metal have largely supplanted the use of wood in tops.

Physics
A precessing gyroscope

The motion of a top is described by equations of rigid body dynamics, specifically the theory of rotating rigid bodies).

Because of the small contact area between the tip and the underlying surface, and the large rotational inertia of its body, a top that is started on a hard surface will usually keep spinning for tens of seconds or more, even without additional energy input.

Typically the top will at first wobble until friction and torque between the tip and the underlying surface force it to spin with the axis steady and upright. Contrary to what is sometimes assumed, longstanding scientific studies (and easy experimentations reproducible by anyone) show that reducing the friction increases the time needed to reach this stable state (unless the top is so unbalanced that it falls over before reaching it).[7] After spinning upright (in the so-called "sleep" position) for an extended period, the angular momentum will gradually lessen (mainly due to friction), leading to ever increasing precession, finally causing the top to topple and roll some distance on its side. In the "sleep" period, and only in it, provided it is ever reached, less friction means longer "sleep" time (whence the common error that less friction implies longer global spinning time).

The total spinning time of a top is generally increased by increasing its moment of inertia and lowering its center of gravity. [7]. These variables however are constrained by the need to prevent the body from touching the ground.

Asymmetric tops of virtually any shape can also be created and designed to balance.[8]

Competitions

There are many official competitions of top spinning, such as the U. S. National Championships in Chico, California and in the World Championships in Orlando, Florida.

The Jean Shepherd story "Scut Farkas and the Murderous Mariah" revolves around top-spinning in the fictional Depression-era American city of Hohman, Indiana. The bully and the named top in the title are challenged by Shepherd's ongoing protagonist Ralph and a so-called "gypsy top" of similar design to Mariah named Wolf.[9]

The Top is a short story by bohemian writer Franz Kafka.

The top is a focal element and metaphysical symbol in the movie Inception, directed by Christopher Nolan and starring Leonardo DiCaprio. In the final shot, the camera moves over the spinning top just before it appears to be wobbling.

gollark: Just disable it.
gollark: Rotating doesn't actually require energy input to sustain.
gollark: Oh yes, "downloading" Netflix things sounds entirely possible.
gollark: It's multiple things.
gollark: Hmm. I apparently still have a broken `sudo` somehow.

See also

References
  1. D. W. Gould (1973). The Top. NY: Clarkson Potter. ISBN 0-517-50416-2.
  2. Gould (1973), p.20-4.
  3. Peter Michael Harman (1998). The Natural Philosophy of James Clerk Maxwell. Cambridge University Press. ISBN 0-521-00585-X. Archived from the original on 2017-12-27.
  4. James Clerk Maxwell (2003). The Scientific Papers of James Clerk Maxwell. Dover Publications. ISBN 0-486-49560-4. Archived from the original on 2017-12-27.
  5. Gould (1973), p.32.
  6. National Recreation Association (1965). Recreation. p. 92. Archived from the original on 2013-11-13.
  7. H. Crabtree (1909). An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion. London: Longman, Green and C.
  8. Bächer, Moritz; Whiting, Emily; Bickel, Bernd; Sorkine-Hornung, Olga (August 10–14, 2014). "Spin-It: Optimizing Moment of Inertia for Spinnable Objects" (PDF). ACM Conference on Computer Graphics & Interactive Techniques (SIGGRAPH) 2014. Archived from the original (PDF) on 10 August 2014. Retrieved 15 August 2014.
  9. Shepherd, Jean. "Scut Farkas and the Murderous Mariah", Wanda Hickey's Night of Golden Memories and Other Disasters (New York: Doubleday Dolphin Books), 1976 ISBN 0-385-11632-2

Further reading
  • Crabtree, H. "An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion". Longman, Green and C), 1909. Reprinted by Michigan Historical Reprint Series.
  • Perry J. "Spinning Tops". London Society for Promoting Christian Knowledge, 1870. Reprinted by Project Gutemberg ebook, 2010.
  • Provatidis, Christopher, G. (2012). Revisiting the Spinning Top, International Journal of Materials and Mechanical Engineering, Vol. 1, No. 4, pp. 71–88, open access at http://www.ijm-me.org/Download.aspx?ID=2316 (ISSN Online: 2164-280X, ISSN Print: 2162-0695)
  • A forum discussing all things related to the art of Top Spinning: iTopSpin.com
  •  "Top" . The New Students Reference Work . 1914.
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