大学物理 ›› 2026, Vol. 45 ›› Issue (7): 29-.doi: 10.16854/j.cnki.1000-0712.250443

• 教学讨论 • 上一篇    下一篇

论三力平衡之拉密定理在静力学和运动学中的应用

张居敏,杨锐,李文成   

  1. 华中农业大学 工学院,武汉430070
  • 收稿日期:2025-08-21 接受日期:2025-10-27 出版日期:2026-09-22 发布日期:2026-10-14
  • 作者简介:张居敏(1972—),男,河南省南召县人,华中农业大学工学院副教授,博士,研究方向:水田土壤耕整.E-mail: zjm@hzau.edu.cn
  • 基金资助:
    华中农业大学“课程思政”示范建设研究课题(sz2024025)

Application of Lamys theorem of three forces balance in statics and kinematics

ZHANG Ju-min, YANG Rui, LI Wen-cheng#br#   

  1. College of Engineering, Huazhong Agricultural University, Wuhan, Hubei 430070, China
  • Received:2025-08-21 Accepted:2025-10-27 Online:2026-09-22 Published:2026-10-14

摘要: 本文讨论了三力平衡问题,主要涉及三力汇交平衡定理及相对应的拉密定理和三力平行平衡定理及相应的杠杆定律.拉密定理本质上属于三角形正弦定理.为简化三力汇交平衡问题的求解难度,本文拓宽了拉密定理使用条件.举例阐述了拉密定理及杠杆定律在静力学、摩擦等问题求解中的应用,并将拉密定理的适用范围首次拓展至运动学以及力偶与三力构成的平面平衡力系,在刚体平面运动、点的复合运动等问题中涉及速度求解时都可以使用拉密定理.研究结果有助于简化教学环节、提高教学质量、培养学生力学兴趣.

关键词: 杠杆定律, 力三角形法则, 静力学, 运动学, 理论力学

Abstract: This article discusses the problem of three force equilibrium, mainly involving the three force intersection equilibrium theorem and its corresponding Lamys theorem, the three force parallel equilibrium theorem, and its corresponding lever law. Lamys theorem essentially belongs to the triangle sine theorem. This article expands the conditions for the use of the Lamys theorem, thereby simplifying the difficulty of solving the three force convergence equilibrium problem. This article provides examples to illustrate the application of Lamys theorem and levers law in solving problems such as statics and friction. For the first time, the scope of application of Lamys theorem has been extended to kinematics and plane equilibrium force system composed of a couple and three forces. It can be used to calculate velocity in problems such as rigid body plane motion and composite motion of points. The research results help to improve the quality of teaching and cultivate students interest in mechanics. 

Key words:  lever law, law of force triangle, statics, kinematics, theoretical mechanics