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力学与实践 ›› 2010, Vol. 32 ›› Issue (5): 87-88.doi: 10.6052/1000-0879-lxysj2009-489

• 教育研究 • 上一篇    下一篇

由三平行轴惯量求重心的一种方法

李武钢   

  1. 广西师范学院物理与电子工程学院,南宁530023
  • 收稿日期:2009-12-17 出版日期:2010-10-08 发布日期:2010-09-07

FINDING THE CENTER OF GRAVITY WITH THREE INERTIAS OF PARALLEL AXES

  • Received:2009-12-17 Online:2010-10-08 Published:2010-09-07

摘要: 为了求得复杂刚体重心的位置, 根据转动惯量平行轴定理, 由已知轴转动惯量和一定的几何 关系推导出用于求重心的关系式, 从理论上给出两个可能重心坐标值, 再实际判断取舍.只要 用实验仪器先测量刚体对3个平行转轴的转动惯量, 就可由该关系式计算得到刚体重心的位 置. 这一方法有时要比直接测量重心更为简单.

关键词: 应用力学, 重心;转动惯量;平行轴

Abstract: In order to obtain the center of gravity which not easy to be obtained by the theory or the experiment to certain complex rigid body, according to the rotation inertia parallel axis theorem, the relational expressions asking the center of gravity were deduced by the known axis rotation inertia and certain geometry relations, and theoretically two possibility centers of mass were got, which May be Selected after the actual judgment. So long as surveys the rigid body first with the instrument to three parallel axis rotation inertias, may obtain the center of gravity position by that relational expressions. Sometimes this method is simple compared to the direct survey the center of gravity.

Key words: applied mechanics, center of gravity, rotation inertia, parallel axis