刚体定轴转动理论教学中的类比法应用研究
Research on the Application of Analogy in Teaching the Theory of Fixed Axis Rotation of Rigid Bodies
杨慧 1高雁 1陈浩飞 2于波1
作者信息
- 1. 忻州师范学院 物理系,山西 忻州 034000
- 2. 中北大学 机械工程学院,山西 太原 030051
- 折叠
摘要
基于刚体定轴转动和质点直线运动具有较为类似的特点,文章主要研究类比法在刚体定轴转动理论教学过程的应用.对于经典运动的两大领域——运动学和动力学,在教学实施的过程中,利用二运动数学形式上的相似性和物理量之间内在的联系,将较为难懂的转动理论中的角量与学生所熟悉的质点直线运动中的线量进行类比,借助理解质点直线运动的思维模式,深入理解刚体定轴转动的各物理量以及相应的物理规律,从而为此部分内容的教学提供一套较为可行的简易化范式.
Abstract
Based on the very similar nature and characteristics of fixed axis rotation of rigid body and linear motion of a particle,this article mainly studies the application of analogy method in the teaching process of rigid body fixed axis rotation theory.For the two major fields of classical motion-kinematics and dynamics-in the process of teaching implementation,utilizing the similarity in mathematical form and the inherent connection between physical quantities of the two movements,the angular quantities in the difficult to understand rotation theory are compared with the linear quantities in the familiar linear motion of particles.With the help of understanding the thinking mode of linear motion of particles,a deep understanding of the various physical quantities and corresponding physical laws of fixed axis rotation of rigid bodies is achieved,thus,a feasible and simplified paradigm is provided for the teaching of this part of the content.
关键词
理论力学/刚体定轴转动/质点直线运动Key words
theoretical mechanics/axis rotation of rigid body/linear motion of a particle引用本文复制引用
基金项目
忻州师范学院教学改革创新项目(JGYB202201)
出版年
2024
NETL
NSTL
万方数据