教学讨论

玩具抛绳枪稳态构型的动力学分析

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  • 重庆理工大学 机械工程学院,重庆400054
郑子君(1985—),男,重庆万州人,重庆理工大学机械工程学院副教授,博士,主要从事工程力学的教学研究工作.Email:zhengzj@cgut.edu.cn

收稿日期: 2022-07-06

  修回日期: 2022-08-06

  网络出版日期: 2023-05-31

基金资助

重庆市高等教育教学改革项目(202026S)资助

Dynamic analysis of steady-state configuration of a toy string launcher

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  • College of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, China

Received date: 2022-07-06

  Revised date: 2022-08-06

  Online published: 2023-05-31

摘要

玩具抛绳枪通过迫使绳环高速切线运动,创造出柔绳悬浮在空中的错觉. 利用动静法进行力学分析,推导了稳态悬浮时绳环的形状方程,给出了抛绳枪能够正常工作的条件. 研究表明,发射角度使绳环上下对称时,水平跨度最大;最大跨度与阻力和重力之比正相关.

本文引用格式

郑子君 . 玩具抛绳枪稳态构型的动力学分析[J]. 大学物理, 2023 , 42(05) : 28 . DOI: 10.16854/j.cnki.1000-0712.220332

Abstract

A popular toy string launcher can make the string floating in the air by forcing it to move tangentially. The dynamic-static method is employed to explain the mechanism as well as deduce the shape equation of the string in steady state suspension. The conditions for the launcher to work properly are also given. It is revealed that when the string configuration has a horizontal symmetric axis, the span length gets its maximum. The maximum span length is positively correlated with the ratio of resistance to gravity. 


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