Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

In this work we investigate the motion of a homogeneous ball rolling without slipping on uniformly rotating horizontal and inclined planes under the action of a constant external force supplemented with the moment of rolling friction, which depends linearly on the angular velocity of the ball. We sy...

Full description

Saved in:
Bibliographic Details
Published in:European journal of physics 2018-11, Vol.39 (6), p.65001
Main Authors: Borisov, Alexey V, Ivanova, Tatiana B, Karavaev, Yury L, Mamaev, Ivan S
Format: Article
Language:English
Subjects:
non-holonomic constraint
qualitative analysis
rolling
rolling ball
rolling friction
rotating surface
tilted turntable
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work we investigate the motion of a homogeneous ball rolling without slipping on uniformly rotating horizontal and inclined planes under the action of a constant external force supplemented with the moment of rolling friction, which depends linearly on the angular velocity of the ball. We systematise well-known results and supplement them with the stability analysis of partial solutions of the system. We also perform an experimental investigation whose results support the adequacy of the rolling friction model used. Comparison of numerical and experimental results has shown a good qualitative agreement.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/aad763