大学物理 ›› 2013, Vol. 32 ›› Issue (11): 15-15.

• 著者文摘 • 上一篇    下一篇

用格林公式计算任意闭曲线边界的均质薄平板的转动惯量

李力   

  1. 重庆清华中学,重庆400054
  • 出版日期:2013-11-25 发布日期:2013-11-20

Calculating the rotation inertia of homogeneous thin plate with arbitrary closed curvilinear boundary by the Green formula

  • Online:2013-11-25 Published:2013-11-20

摘要: 利用格林公式构造被积函数组,化二重积分为线积分,得到计算任意闭曲线边界的均质薄平板转动惯量的一般公式,并用该公式简捷地求出了教材上不常见的几种均质薄平板的转动惯量.

关键词: 格林公式, 均质薄平板, 转动惯量

Abstract: A general formula for calculating the homogeneous thin plate rotation inertia with arbitrary closed curvilinear boundary is derived. We construct integrand group and change double integral into the Green formula, and then some infrequent examples are calculated by this formula tersely in the textbook.

Key words: Green formula, homogeneous thin plate, rotation inertia

中图分类号: 

  • O313.3