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

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.