大学生园地

考虑绳及圆盘质量时对Atwood 机运动的影响

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  • 陕西师范大学物理学与信息技术学院,陕西西安710119
王婕( 1996—) ,女,河南安阳人,陕西师范大学物理学与信息技术学院2015 级本科生.

收稿日期: 2019-06-11

  修回日期: 2019-11-19

  网络出版日期: 2020-05-17

基金资助

国家自然科学基金( 11774211) ; 陕西师范大学教学改革项目资助

Effect of massive string and pulley on the motion of Atwood machine

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  • School of Physics & Information Technology,Shaanxi Normal University,Xian,Shaanxi 710119,China

Received date: 2019-06-11

  Revised date: 2019-11-19

  Online published: 2020-05-17

摘要

求解Atwood 机动力学问题,教材中通常把绳子及滑轮当做理想模型( 不考虑它们的质量) .本文利用动力学的方法,

考虑了Atwood 机中滑轮、绳的质量,对其实际情况下的运动进行了求解,分析了两者质量及重物的初位移对系统运动的影响,

指出了与理想模型之间的差异.

关键词: Atwood 机; 滑轮; 粗绳; 动力学

本文引用格式

王婕, 贺西平 . 考虑绳及圆盘质量时对Atwood 机运动的影响[J]. 大学物理, 2020 , 39(05) : 62 -65 . DOI: 10.16854 /j.cnki.1000-0712.190258

Abstract

The string and pulley are often used as ideal models ( e.g.,Atwood machine with a massless pulley

and a massless string) in textbooks to solve the dynamics problem of Atwood machine. The dynamical methods are

used to describe the motion of Atwood machine with a massive string. The effects on the system motion caused by

the mass of the pulley,the mass of the massive string and the initial position of the weight are analyzed. Furthermore,

the difference between the ideal model described in the text book and the motion of the Atwood machine under

the real conditions is discussed.

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