Dynamics analysis of sliding down time affected by resistance

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  • College of Physics and Electronic Engineering, Zhengzhou University of Light Industry,Zhengzhou, Henan 450001, China

Received date: 2022-06-02

  Revised date: 2022-08-14

  Online published: 2023-05-31

Abstract

We performe the dynamics analysis on sliding down time that affected by resistance. The famous branchistochrone is the fastest path which is obtained by ignoring resistance. Considering the sliding friction resistance and air resistance,we find that the sliding down time depends on the friction coefficient,amplitude of air restance, mass of object and slope of motion path. The sliding down time could be optimized by the radius of the circular orbital. On the other hand,  the scrolling down could also shorten the sliding down time, we also quantitatively investigate the scrolling time affects by the mass distribution of the disk and spherical shell, the mass distribution origins from the mass density and shape of the objects. The ratio of scrolling time to sliding time is decided by the function of mass density and the ratio of inside radii to outside radii.

Cite this article

ZHANG Hui-jun, ZHANG Yan, WU Jie, FENG Xue-chao, WANG Shi-zhuo . Dynamics analysis of sliding down time affected by resistance[J]. College Physics, 2023 , 42(05) : 31 . DOI: 10.16854/j.cnki.1000-0712.220280

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