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大学物理教学中,关于转动惯量的平行轴定理具有很重要的应用价值。它能够拓展人们关于转动惯量的认识,在理论计算和工程技术中均有重要的应用。本文中我们利用质心概念通过几种不同的方法巧妙地证明平行轴定理,几种方法难易程度不同,当质心的位置位于坐标原点时,学生更容易理解平行轴定理的推导过程。同时利用质点系动能定理推导也是一种很新颖的方法。
Abstract:In university physics education, the parallel axis theorem for moment of inertia holds significant practical value. It extends the understanding of moment of inertia and is widely applied in theoretical calculations and engineering technology. In this paper, we present an ingenious proof of the parallel axis theorem using the concept of center of mass through several distinct methods of varying difficulty. When the center of mass is positioned at the coordinate origin, students find the derivation of the parallel axis theorem more comprehensible. Additionally, deriving the theorem using the kinetic energy theorem of a system of particles is also a novel approach.
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基本信息:
中图分类号:G642;O313.3-4
引用信息:
[1]刘玉颖,赵云,李春燕,等.巧用质心概念证明平行轴定理[J].物理与工程,2025,35(04):25-28.
基金信息:
北京高等教育本科教学改革创新项目(202010019004):农林专业理科强基3+1核心能力体系研究; 教育部高等学校大学物理课程教学指导委员会教学研究课题:面向大中小学生物理科学素养和科普教学的研究与实践(WX202419)
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