{"title":"弦射手的物理学","authors":"K. Mamola","doi":"10.1119/5.0099300","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":48709,"journal":{"name":"Physics Teacher","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Physics of the String Shooter\",\"authors\":\"K. Mamola\",\"doi\":\"10.1119/5.0099300\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":48709,\"journal\":{\"name\":\"Physics Teacher\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Teacher\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.1119/5.0099300\",\"RegionNum\":4,\"RegionCategory\":\"教育学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"EDUCATION, SCIENTIFIC DISCIPLINES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Teacher","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.1119/5.0099300","RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION, SCIENTIFIC DISCIPLINES","Score":null,"Total":0}
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.
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.