马小强, 李萍. 靠墙直杆下滑过程的力学分析. 力学与实践, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-067
引用本文: 马小强, 李萍. 靠墙直杆下滑过程的力学分析. 力学与实践, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-067
Ma Xiaoqiang, Li Ping. Mechanical analysis of the sliding process of a vertical rod leaning against a wall. Mechanics in Engineering, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-067
Citation: Ma Xiaoqiang, Li Ping. Mechanical analysis of the sliding process of a vertical rod leaning against a wall. Mechanics in Engineering, xxxx, x(x): 1-7. DOI: 10.6052/1000-0879-24-067

靠墙直杆下滑过程的力学分析

MECHANICAL ANALYSIS OF THE SLIDING PROCESS OF A VERTICAL ROD LEANING AGAINST A WALL

  • 摘要: 靠墙直杆下滑问题模型对培养学生应用所学物理知识解决实际问题能力具有重要意义。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,推导出了杆下滑过程中的质心轨迹方程以及动力学方程;并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。

     

    Abstract: 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. model of a vertical rod sliding down a wall plays a crucial role in developing 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.

     

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