关于柔软无弹性轻绳中加速度奇点问题的讨论  

DISCUSSION ON THE ACCELERATION SINGULARITY IN SOFT AND INELASTIC LIGHT ROPES

作　　者：刘天齐 LIU Tianqi(School of Gifted Young,University of Science and Technology of China,Hefei,Anhui 230026)

机构地区：[1]中国科学技术大学少年班学院,安徽合肥230026

出　　处：《物理与工程》2024年第1期52-56,79,共6页Physics and Engineering

摘　　要：不少大学物理教材将“柔软无弹性轻绳”作为一种经典模型并围绕其理想性提出了一系列的题目,而不同的求解方法可能得到不同的答案,这本质上是因为这种模型中隐含着加速度奇点,而各解法对加速度奇点的处理不同。为了系统性地解决不同解法之间的分歧,本文首先选取了有关加速度奇点的三个经典物理问题,然后综述了这些题目的若干解法,接着分析其正确性,最后归纳出了有关加速度奇点的物理问题的一般规律,并提出了多种应对方法,以更准确地处理有关加速度奇点的物理问题。Many college physics textbooks take“soft inelastic light rope”as a classical physics model and raise a series of questions around its ideality.Different solutions may get different answers,which is essentially because this model contains acceleration singularities,and each solution method handles acceleration singularities differently.In order to systematically solve the contradiction between different solutions,this paper first selects three classical physical problems related to acceleration singularities,then summarizes several solutions to these problems,analyzes their correctness.Finally,this paper summarizes the general laws of physical problems related to acceleration singularities,and proposes various methods to more accurately handle physical problems related to acceleration singularities.

关 键 词：大学物理 柔软无弹性轻绳 加速度奇点 微元法 

分 类 号：G642[文化科学—高等教育学] O4-4[文化科学—教育学]