# Rolling Disk

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This Demonstration shows snapshots of a disk rolling on a plane. For the calculation, it is assumed that the disk has infinitesimal thickness, rolls without friction, and does not slide or slip. Thickness is allowed so as to give a more interesting image. A rolling disk is one of the simplest examples of a nonholonomic system. It is completely integrable, and as a result, the sequence of snapshots form nonchaotic sequences exhibiting a certain symmetry.

Contributed by: Michael Trott with permission of Springer (March 2011)

From: *The Mathematica GuideBook for Programming, second edition* by Michael Trott (© Springer, 2008).

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

D. T. Greenwood, *Advanced Dynamics*, Cambridge: Cambridge University Press, 2003.

## Permanent Citation

"Rolling Disk"

http://demonstrations.wolfram.com/RollingDisk/

Wolfram Demonstrations Project

Published: March 7 2011