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Looping pendulum: theoretical and experimental studies
European Journal of Physics ( IF 0.6 ) Pub Date : 2021-02-24 , DOI: 10.1088/1361-6404/abbcf1
Qinghao Wen 1 , Xiucai Huang 2 , Yansheng Zhang 3 , Etienne Ong 1
Affiliation  

This work focuses on exploring the phenomenon of looping pendulum proposed by ‘International Young Physicists’ Tournament in 2019, specifically, the various types of loops observed and the physical conditions for a loop to be successful. Firstly, we establish a theoretical model for three distinct stages of the motion observed in the phenomenon, i.e. slipping, non-slipping, and pulling phenomena. We then construct a numerical algorithm for simulation studies so as to predict the looping trajectory, which is significantly influenced by the mass ratio between the masses, the initial release angle of the small mass and the initial distance between the small mass and the tangential point on the rod. Phase plots, which illustrate how varying some of these parameters will affect the type of loop produced, are generated. The theoretical looping trajectories and phase plots are verified experimentally. A qualitative analysis of the common trajectories observed and the successful trends in the phase plots are presented to provide further insights on the physics of this phenomenon. The findings presented in this paper reveal some properties of the looping pendulum and help us to gain a better understanding of its physical behavior.



中文翻译:

循环摆:理论和实验研究

这项工作的重点是探索由``国际年轻物理学家''锦标赛在2019年提出的循环摆现象,特别是观察到的各种循环形式以及成功实现循环的物理条件。首先,我们为现象中观察到的运动的三个不同阶段(即滑移,不滑移和拉动现象)建立了理论模型。然后,我们构造一个数值算法进行仿真研究,以预测循环轨迹,该轨迹受质量之间的质量比,小质量的初始释放角度以及小质量与切点之间的初始距离的显着影响杆。生成了相图,这些相图说明了其中一些参数的变化将如何影响所产生的环路的类型。理论上的循环轨迹和相图已通过实验验证。定性分析观察到的常见轨迹和相图中的成功趋势,以提供对该现象的物理学的进一步见解。本文介绍的发现揭示了循环摆的一些特性,并帮助我们更好地了解其物理行为。

更新日期:2021-02-24
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