Research on the bidirectional sliding phenomena of a toppling rod under frictional situations

Haoxiang Guo

doi:10.54254/2753-8818/12/20230438

Research Article

Open access

Published on 17 November 2023

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Guo,H. (2023). Research on the bidirectional sliding phenomena of a toppling rod under frictional situations. Theoretical and Natural Science,12,78-87.

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Research on the bidirectional sliding phenomena of a toppling rod under frictional situations

Haoxiang Guo *^,1,

¹ Suzhou Industrial Park Foreign Language School

* Author to whom correspondence should be addressed.

https://doi.org/10.54254/2753-8818/12/20230438

Abstract

In this work, we investigated the phenomenon of spontaneous bidirectional sliding on a toppling rod under a frictional situation. We explained the reasons for sliding is the friction force from the table is not sufficient to support the horizontal acceleration of the mass center when toppling, so the rod itself has to obtain a horizontal acceleration and apply the inertia force to play the role of supporting the acceleration of the mass center. This phenomenon and converted the question into a mathematical model. We pick the contacting point between the rod and the horizontal surface as the reference point for our computing of physical quantity, therefore the torque caused by friction and normal force can be ignored. With this model, we finished the theoretical analysis of the effects of varying static friction and dynamic friction coefficients on the phenomenon, with computer simulations verified.

Keywords

classical mechanics, rotation, rigid body, friction, mathematical modeling

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Cite this article

Guo,H. (2023). Research on the bidirectional sliding phenomena of a toppling rod under frictional situations. Theoretical and Natural Science,12,78-87.

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About volume

Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation

Conference website: https://www.confmpcs.org/

ISBN：978-1-83558-135-3(Print) / 978-1-83558-136-0(Online)

Conference date: 12 August 2023

Editor：Roman Bauer

Series: Theoretical and Natural Science

Volume number: Vol.12

ISSN：2753-8818(Print) / 2753-8826(Online)

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