靠墙直杆下滑过程的力学分析  

MECHANICAL ANALYSIS OF THE SLIDING PROCESS OF A VERTICALROD LEANING AGAINST A WALL

作　　者：马小强 李萍 MA Xiaoqiang;LI Ping(School of Physics and Electronic Information Engineering,Ningxia Normal University,Guyuan 756000,Ningxia,China;College of Science,Xinjiang Institute of Technology,Aksu 843100,Xinjiang,China)

机构地区：[1]宁夏师范大学物理与电子信息工程学院,宁夏固原756000 [2]新疆理工学院理学院,新疆阿克苏843100

出　　处：《力学与实践》2024年第5期1079-1086,共8页Mechanics in Engineering

基　　金：宁夏师范学院校级本科教学重点项目(NJZJSJY2303);国家自然科学基金项目(12365025)资助。

摘　　要：靠墙直杆下滑问题模型对培养学生应用所学力学知识解决实际力学问题的能力具有较重要意义。本文分析了质量分布均匀的靠墙直杆的下滑过程,通过建立杆下滑过程物理模型,推导了杆下滑过程中的质心轨迹方程以及动力学方程;求解了不同条件下的动力学方程,得出了杆下滑过程的运动规律。文章重点讨论了杆在墙角静止(平衡)的条件,重点分析杆在下滑过程所受的支持力,不同接触面和初始条件下杆和墙分离的临界角,以及杆脱离墙面后的运动规律。The analysis of a rod sliding against a wall is crucial for enhancing students'ability to apply their knowledge of physics to solve practical problems.The sliding process of a uniformly distributed vertical rod leaning against a wall is analyzed in this paper.Through modeling the rod's sliding process,the equation of the center of mass trajectory and the dynamic equation during the sliding process are derived.The motion laws of the rod during the sliding process are obtained by solving the dynamic equations under different conditions.It focuses on discussing the equilibrium conditions of the rod at the wall corner,emphasizing the analysis of the supporting force during sliding,the critical separation angle under different contact surfaces and initial conditions,and the subsequent motion of the rod after detaching from the wall surface.

关 键 词：靠墙 直杆 下滑 物理模型 力学分析 

分 类 号：O31[理学—一般力学与力学基础] V343[理学—力学]