用数列求和的方法计算匀质刚体的转动惯量  

Calculate the Moment of Inertia of Homogeneous Rigid Body Using the Method of Number Series Summation

作　　者：傅美欢[1] FU Mei-huan(Nanjing Institute of Industry Technology,Nanjing 210023,China)

机构地区：[1]南京工业职业技术学院公共基础课部,江苏南京210023

出　　处：《南京工业职业技术学院学报》2018年第2期33-35,共3页Journal of Nanjing Institute of Industry Technology

摘　　要：把规则刚体分成多个质元,根据转动惯量的定义公式,用等幂数列求和的方法进行计算,再用极限方法求出刚体的转动惯量。这种方法加深了学生对转动惯量概念的理解,使学生对转动惯量的计算方法有了更深的认识。The regular rigid body is divided into several mass elements.According to the definition formula of the moment of inertial,the moment of inertia of the rigid body is obtained by the methods of equal power number series summation and the limit.This method deepens students'understanding of the concept of moment of inertia,and enables students to have a deeper understanding of the calculation method of moment of inertia.

关 键 词：转动惯量 数列求和 细棒 圆柱体 球体 

分 类 号：G633.7[文化科学—教育学]