求解匀质球体转动惯量的4种方法  

Four methods for calculating the moment of inertia of a homogeneous sphere

作　　者：崔晶磊[1] 樊实[1] CUI Jinglei;FAN Shi(School of Science,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《高师理科学刊》2021年第11期85-88,共4页Journal of Science of Teachers＇College and University

基　　金：教育部教改立项(DJZW201903db)——新工科背景下大学物理“金课”建设的研究与实践。

摘　　要：普通物理学中,匀质球体转动惯量的求解是比较复杂的,但是根据转动惯量基本概念和微积分的知识可以发现多种计算方法.这些方法的掌握能够提高学生用微积分处理物理问题的能力,对于学生后续物理学习是非常有帮助的.基于对称性分析给出4种计算思路和具体计算步骤.In general physics,the solution of the moment of inertia of a homogeneous sphere is quite complicated.But according to the basic concept of moment of inertia and the knowledge of calculus,a variety of calculation methods can be found.These methods can improve students′ability to deal with physical problems with calculus,which is very helpful for students′subsequent physics study.Based on symmetry analysis,presents four kinds of calculation ideas and specific calculation steps.

关 键 词：匀质球体 转动惯量 微积分 

分 类 号：O4[理学—物理] G642.0[文化科学—高等教育学]