谈数学教材中转动惯量问题

刚体的转动惯量是力学中一个重要的物理量，在某些《数学分析》和《高等数学》教材中介绍转动惯量，所引用的根据与物理学上的有关概念存在较大的差别，使得在教学工作中产生一些不易说清楚的问题，增大了教学的难度。本文从数学和物理学的不同角度讨论了这些差别产生的原因和它们之间的关系，提出了在教学工作中如何处理好这些关系的方法。

Discussion on the Rotating Inertra in Mathematics Teaching Material

The rotating inertia are important physical factor in machan-ics. In some high-education textbooks, for example, "Mathematics Analys-is" and"Abvanced Mathematics" , there is a great difference between the data cited and the related concepts in physics when the concept of rotating inertra is introduced. As a result some unexplainable questions arise and it makes teaching more dlifficult. In this article, the causes of these differ-ences and their relationships are explained , using various aspects from the sciences of mathematics and physics.Suggestions are also made on how these problems can be managed when teaching.