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On Atwood's machine with a nonzero mass string

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 dc.contributor.author Tarnopolski, Mariusz [SAP14008625] pl dc.date.accessioned 2015-11-20T11:06:22Z dc.date.available 2015-11-20T11:06:22Z dc.date.issued 2015 pl dc.identifier.issn 0031-921X pl dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/16975 dc.language eng pl dc.rights Dodaję tylko opis bibliograficzny * dc.rights.uri * dc.title On Atwood's machine with a nonzero mass string pl dc.type JournalArticle pl dc.description.physical 494-496 pl dc.abstract.en Let us consider a classical high school exercise concerning two weights on a pulley and a string, illustrated in Fig. 1(a). A system like this is called an Atwood's machine and was invented by George Atwood in 1784 as a laboratory experiment to verify the mechanical laws of motion with constant acceleration. Nowadays, Atwood's machine is used for didactic purposes to demonstrate uniformly accelerated motion with acceleration arbitrarily smaller than the gravitational acceleration g. The simplest case is with a massless and frictionless pulley and a massless string. With little effort one can include the mass of the pulley in calculations. The mass of a string has been incorporated previously in some considerations and experiments. These include treatments focusing on friction, justifying the assumption of a massless string, incorporating variations in Earth's gravitational field, comparing the calculated value of g based on a simple experiment, taking the mass of the string into account in such a way that the resulting acceleration is constant, or in one exception solely focusing on a heavy string, but with a slightly different approach. Here we wish to provide i) a derivation of the acceleration and position dependence on the weights' masses based purely on basic dynamical reasoning similar to the conventional version of the exercise, and ii) focus on the influence of the string's linear density, or equivalently its mass, on the outcome compared to a massless string case. pl dc.subject.en kinematics pl dc.subject.en equations of motion pl dc.subject.en friction pl dc.subject.en laboratory procedures pl dc.subject.en differential equations pl dc.description.volume 53 pl dc.description.number 8 pl dc.identifier.doi 10.1119/1.4933154 pl dc.identifier.eissn 1943-4928 pl dc.title.journal The Physics Teacher pl dc.language.container eng pl dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne pl dc.subtype Article pl dc.identifier.articleid 494 pl dc.rights.original bez licencji pl .pointsMNiSW [2015 C]: 10
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