差值法巧求刚体转动惯量  

Skillfully solving the moment of inertia of rigid body by difference method

作　　者：朱留华 ZHU Liuhua(School of Physics and Telecommunications Engineering,Yulin Normal University,Yulin 537000,China)

机构地区：[1]玉林师范学院物理与电信工程学院,广西玉林537000

出　　处：《高师理科学刊》2020年第2期90-92,100,共4页Journal of Science of Teachers＇College and University

基　　金：玉林师范学院博士科研启动基金项目(G20150003);玉林师范学院2019年职业教育教学改革研究立项项目(2019ZYJGYB01)。

摘　　要：转动惯量是表征刚体转动惯性大小的特征量.利用差值法结合二项式定理求解了一些常见刚体的转动惯量.未涉及定积分知识,避免了繁琐的数学运算.旨在加深学生对转动惯量叠加性的理解,多渠道掌握转动惯量的计算方法.The moment of inertia is a characteristic quantity which represents the size of rigid body′s rotational sluggishness.The difference method and binomial theorem are used to solve the moment of inertia of some common rigid bodies.The definite integral knowledge is not involved,and tedious mathematical operations are avoided.The purpose is to deepen students′understanding of the superposition of moment of inertia and master the calculation methods of moment of inertia through multiple channels.

关 键 词：转动惯量 差值法 二项式定理 

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