A block slipping on a sphere with friction: Exact and perturbative solutions

被引：17

作者：

Prior, Tom ^{[1
]}

Mele, E. J. ^{[1
]}

机构：

[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA

来源：

AMERICAN JOURNAL OF PHYSICS | 2007年 / 75卷 / 05期

关键词：

D O I：

10.1119/1.2410018

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

A well studied problem in elementary mechanics is the location of the release point of a particle that slides on the surface of a frictionless sphere when it is released from rest at the top. We generalize this problem to include the effects of sliding friction and solve it by a perturbation expansion in the coefficient of sliding friction and by an exact integration of the equation of motion. A comparison of the two solutions identifies a parameter range where the perturbation series accurately represents the motion of the particle and another range where the perturbative solution fails qualitatively to describe the motion of the particle. (C) 2007 American Association of Physics Teachers.

引用

页码：423 / 426

页数：4

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