大学物理 ›› 2016, Vol. 35 ›› Issue (12): 7-12.doi: 10.16854/j.cnki.1000-0712.2016.0172

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关于柔软细绳运动问题中加速度奇点的讨论

路峻岭,秦联华,任乃敬   

  1. 清华大学物理系,北京100084
  • 出版日期:2016-12-20 发布日期:2016-12-20
  • 作者简介:路峻岭( 1946—) ,男,河北南宫人,清华大学物理系教授,主要从事大学物理教学和传感器敏感元件物

A discussion about the acceleration strange point in some questions of soft and thin cords' movement

LU Jun-ling,QIN Lian-hua,REN Nai-jing   

  1. Department of Physics,Tsinghua University,Beijing 100084,China
  • Online:2016-12-20 Published:2016-12-20

摘要: 柔软细绳的运动问题是大学物理力学课在“质点系的动量定理”的教学中常常涉及的典型类型之一,柔软细绳是日常实际绳索的简化的理想模型. 而理想模型的引入有时会出现在研究对象的某些点处的加速度变为无穷大,可称之为奇点. 若不考虑加速度奇点的影响常常产生错误. 本文借助柔软细绳运动的一个实例对此加以讨论.

关键词: 物理模型, 加速度奇点, 柔软细绳, 质心

Abstract: Questions involving soft and thin cords’movement are a kind of model of college physics. A soft  and thin cord is an ideal model for the actual one,which makes the acceleration be infinite at some point of the soft and thin cord. This is the acceleration strange point. If the acceleration strange point is neglected,some mistakes may arise. A discussion is given here by an example of a soft and thin cord.

Key words: physics model, acceleration strange point, soft and thin cord, center of mass