大学物理 ›› 2022, Vol. 41 ›› Issue (11): 18-.doi: 10.16854 /j.cnki.1000-0712.220072

• 教学讨论 • 上一篇    下一篇

平面运动刚体上爬行小虫的运动图像

顾志琴,梁佩佩   

  1. 江苏航空职业技术学院, 江苏 镇江212134
  • 收稿日期:2022-02-10 修回日期:2022-05-06 出版日期:2023-01-03 发布日期:2023-01-06
  • 作者简介:顾志琴(1970—),女,江苏常州人,江苏航空职业技术学院讲师,主要从事物理教学工作.

Moving images of a bugcrawling on a plane motion rigid body

GU Zhi-qin, LIANG Pei-pei   

  1. Jiangsu Aviation Technical College, Zhenjiang, Jiangsu 212134, China
  • Received:2022-02-10 Revised:2022-05-06 Online:2023-01-03 Published:2023-01-06

摘要: 运用动量守恒定律和角动量守恒定律研究并讨论了小虫在平面运动刚体上的爬行问题,导出了刚体转角与小虫在转动坐标系中角坐标间的微分关系式,给出了小虫相对刚体的轨迹为直线时刚体的转角公式,并举例给出了公式的应用.

关键词: 角动量守恒, 转动坐标系, 角坐标

Abstract: The problem of a bug crawling on a plane motion rigid body is studied by the law of conservation of momentum and the law of conservation of angular momentum. By which, the differential relation between the rotation angle of the rigid body and angular coordinates of the bug in the rotating coordinate system is derived. Moreover, the formula of the rotation angle is obtained as the trajectory of the bug on the rigid body is straight, and the application of the formula is presented by given typical example.

Key words: law of conservation of angular momentum, rotating coordinate system, angular coordinate