华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (3): 43-48.

• 论文 • 上一篇    下一篇

质点沿固定半球面运动的动力学分析

彭德应;王世涛   

  1. 华东师范大学 物理系, 上海 200062
  • 收稿日期:2002-05-19 修回日期:2002-11-01 出版日期:2003-09-10 发布日期:2003-09-10

Dynamical Analysis of the Motion of A Particle on fixed Hemispherical Surface

PENG De-ying;WANG Shi-tao   

  1. Department of physics, East China Normal University, Shanghai 200062, China
  • Received:2002-05-19 Revised:2002-11-01 Online:2003-09-10 Published:2003-09-10

摘要： 该文建立了存在摩擦力情况下的质点沿固定半球面滑动的动力学微分方程并获得了解析解;确定了质点自球面顶端开始滑动所需要的初动能值的范围并找到了质点滑离球面时飞离角大小与摩擦系数的解析关系.

关键词: 质点, 固定半球面, 摩擦力, 动力学分析, 飞离角, 初动能, 质点, 固定半球面, 摩擦力, 动力学分析, 飞离角, 初动能

Abstract:

In this paper,we have discussed motion of particle on a fixed hemispherical smoothless surface and obtained following results;

(1) Construct dynamical equation and gave its solution.

(2) Establish range of particle initial kinetic energy .

(3) Find out relation between escape angles and coefficient of kinetic friction.

Key words: fixed hemisphere, dynamical analysis, escape angle, initial kinetic energy, particle, fixed hemisphere, dynamical analysis, escape angle, initial kinetic energy