Spin reversal of a rattleback with viscous friction

TL;DR

This paper derives an effective equation of motion for a viscous friction rattleback, estimating spin reversals and optimal shapes, validated through numerical simulations, advancing understanding of its dynamics.

Contribution

It introduces an effective equation of motion incorporating viscous friction, enabling predictions of spin reversals and shape optimization for rattlebacks.

Findings

Estimated maximum number of spin reversals.

Identified rattleback shapes causing most reversals.

Validated estimates with numerical simulations.

Abstract

Effective equation of motion of a rattleback is obtained from the basic equation of motion with viscous friction depending on slip velocity. This effective equation of motion is used to estimate the number of spin reversals and the rattleback shape that causes the maximum number of spin reversals. These estimates are compared with numerical simulations based on the basic equation of motion.