This article is cited in 3 papers

The ringing of Euler's disk

P. Kessler, O. M. O'Reilly

Department of Mechanical Engineering, University of California at Berkeley

Abstract: The motion of disks spun on tables has the well-known feature that the associated acoustic signal increases in frequency as the motion tends towards its abrupt halt. Recently, a commercial toy, known as Euler's disk, was designed to maximize the time before this abrupt ending. In this paper, we present and simulate a rigid body model for Euler's disk. Based on the nature of the contact force between the disk and the table revealed by the simulations, we conjecture a new mechanism for the abrupt halt of the disk and the increased acoustic frequency associated with the decline of the disk.

Keywords: rigid body, motion of disk, equations of motion, dissipation.

UDC: 531.384