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On Atwood's machine with a nonzero mass string


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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