Revisiting dissipative motion of a spinning heavy symmetric top and the rise of the top by friction

TL;DR

This paper investigates the dissipative dynamics of a spinning heavy symmetric top with a hemispherical peg, comparing different models to understand the top's rise due to friction and slipping effects.

Contribution

It introduces a new model considering the top's fixed point as the peg's center, contrasting with Jellet's model and analyzing pure slipping scenarios.

Findings

The new model captures the rise of the top under frictional effects.

Comparison shows differences between models in predicting top behavior.

Results highlight the importance of slip and friction in top dynamics.

Abstract

The dissipative motion and the rise of a heavy symmetrical top with a hemispherical peg are studied. A model taking the fixed point of the top as the center of the peg is considered when the top completely slips and the rolling motion is ignored. This is different from existing models like Jellet's one. Jellett's model and pure slipping are compared for different tops for the rise of the top.