均质刚体转动惯量计算微元选取  

Micro-element selection for calculation of homogeneous rigid body moment of inertia

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作  者:石少波[1] SHI Shaobo(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区:[1]天津职业技术师范大学理学院,天津300222

出  处:《高师理科学刊》2024年第12期80-82,87,共4页Journal of Science of Teachers'College and University

基  金:天津职业技术师范大学科研发展基金项目(KJ1817)。

摘  要:转动惯量是物体转动时惯性大小的量度,微元法是大学物理教材中计算均质刚体转动惯量最为常用的方法.以常见的均质刚体为例,对比几种微元的选取方案,给出能使后续积分简便的微元选取原则,使学生更深刻地体会微元法处理物理问题的精妙.Moment of inertia is a measure of inertia when an object rotates.Differential element method is the most commonly used method to calculate the moment of inertia of homogeneous rigid body in college physics textbooks.Taking the common homogeneous rigid body as an example,compares several micro-element selection schemes,and gives the principle of micro-element selection that can make the subsequent integration simple,so that students can have a deeper understanding of the subtlety of differential element method in dealing with physical problems.

关 键 词:均质刚体 转动惯量 微元法 

分 类 号:O313.3[理学—一般力学与力学基础] G642.0[理学—力学]

 

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