弦射手的物理学

IF 0.5 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Physics Teacher Pub Date : 2023-05-01 DOI:10.1119/5.0099300
K. Mamola
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引用次数: 0

摘要

弦射器是一种有趣的装置,可以用来演示许多重要的物理概念。它使用一对旋转的轮子以恒定的速度连续推动一个闭合的弦环(见图1)。值得注意的是,这个回路很快就达到了一个稳定的形状,并保持悬浮在空中。这种令人惊讶的行为可以在许多YouTube视频中看到。市面上有几种型号的这种装置,价格适中,自制的也不难制造。最近,科学文献中出现了对基础物理学的高级讨论。幸运的是,这些分析的基本原理可以被转换成一种形式,对入门级物理的学生来说很容易理解。这就是本文的目的。从概念上讲,该装置的行为可以通过考虑作用在弦上的力(有趣的是,空气阻力起着关键作用)和使用平移和旋转平衡的条件来解释。一个更完整的分析,利用牛顿第二定律,允许一个固定的环的形状,在一个垂直的平面上,以惊人的精度预测。这种方法只需要很少的微积分知识。
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Physics of the String Shooter
The string shooter is an intriguing device that can be used to demonstrate a number of important physics concepts. It uses a pair of rotating wheels to continuously propel a closed loop of string at constant speed (see Fig. 1). Remarkably, the loop quickly reaches a stable shape, remaining suspended in the air. This surprising behavior may be viewed in a number of YouTube videos. Several models of the device are available commercially, at modest cost, and homemade versions are not difficult to construct. Advanced-level discussions of the underlying physics have recently appeared in the scientific literature. Fortunately, the fundamentals of those analyses can be cast into a form that is accessible to students of introductory-level physics. That is the aim of this paper. Conceptually, the device’s behavior can be explained by considering the forces that act on the string (interestingly, air drag plays a key role) and using the conditions for translational and rotational equilibrium. A more complete analysis, using Newton’s second law, allows the shape of a stationary loop, lying in a vertical plane, to be predicted with remarkable accuracy. The method requires only a minimal amount of calculus.
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来源期刊
Physics Teacher
Physics Teacher PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.10
自引率
22.20%
发文量
0
期刊介绍: TPT publishes peer-reviewed papers on the teaching of introductory physics and on topics such as contemporary physics, applied physics, and the history of physics. Dedicated to strengthening the teaching of introductory physics at all levels, including secondary schools colleges and universities, TPT provides peer-reviewed content and materials to be used in classrooms and instructional laboratories.
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