缩减法计算刚体的转动惯量SCALING METHOD FOR THE CALCULATION OF THE MOMENT OF INERTIA OF RIGID BODY
田斯绮,贺西平
摘要(Abstract):
大一学习力学的同学一般是运用微积分工具进行转动惯量的计算。本文介绍计算刚体转动惯量的一种简单方法——缩减法,即按比例放大或缩小原刚体,引入无量纲常数并保持转动惯量的量纲不变,求得该无量纲常数即可求得转动惯量。文中提供了一些算例。这种方法有利于学生开阔思路,进一步理解转动惯量的物理意义,并掌握计算转动惯量的方法。
关键词(KeyWords): 对称刚体;转动惯量;缩减法
基金项目(Foundation): 陕西师范大学教学改革项目资助
作者(Author): 田斯绮,贺西平
参考文献(References):
- [1]尹社会,皮小力.规则刚体转动惯量的初等计算方法[J].高师理科学刊,2010,30(2):102-104.YIN S H,PI X L.Primary calculation of moment of inertia of regular rigid body[J].Journal of Science of TeachersCollege and University,2010,30(2):102-104.(in Chinese)
- [2]王永超.刚体转动惯量的质量投影法[J].大学物理,2010,29(9):16-18.WANG Y C.The mass projection method of rigid body rotational inertia[J].College Physics,2010,29(9):16-18.(in Chinese)
- [3]冯金地.补偿法求刚体定轴转动惯量的一般解[J].物理通报,2016,5:5-8.FENG J D.The general solution on fixed axis moment inertia of rigid body by compensation method[J].Physics Bulletin,2016,5:5-8.(in Chinese)
- [4]邱为钢.转动惯量的坐标表示[J].物理通报,2014,2:16-18.QIU W G.The coordinate representation of moment of inertia[J].Physics Bulletin,2014,2:16-18.(in Chinese)
- [5]Bernard Ricardo.Using scaling to compute moments of inertia of symmetric objects[J].Eur.J.Phys,2015(36):055003.
- [6]周海英,陈浩,张晓炜.巧算一类均质刚体的转动惯量[J].大学物理,2005,24(2):16-18.ZHOU H Y,CHEN H,ZHANG X W.A simple calculation of inertia of a kind of uniform body[J].College Physics,2005,24(2):16-18.(in Chinese)