Atwood and Poggendorff: an insightful analogy

Ricardo Coelho; Paulo Borges; Ricardo Avelar Sotomaior Karam

doi:10.1088/0143-0807/37/6/065003

Atwood and Poggendorff: an insightful analogy

Ricardo Coelho, Paulo Borges, Ricardo Avelar Sotomaior Karam

2 Citationer (Scopus)

Abstract

Atwood’s treatise, in which the Atwood machine appears, was published in 1784. About 70 years later, Poggendorff showed experimentally that the weight of an Atwood machine is reduced when it is brought to motion. In the present paper, a twofold connection between this experiment and the Atwood machine is established. Firstly, if the Poggendorff apparatus is taken as an ideal one, the equations of motion of the apparatus coincide with the equations of motion of the compound Atwood machine. Secondly, if the Poggendorff apparatus, which works as a lever, is rebalanced, the equations of this equi- librium provide us with the solution for a compound Atwood machine with the same bodies. This analogy is pedagogically useful because it illustrates a common strategy to transform a dynamic in a static situation improving stu- dents’ comprehension of Newton’s laws and equilibrium.

Originalsprog	Engelsk
Tidsskrift	European Journal of Physics
Vol/bind	37
Udgave nummer	6
Sider (fra-til)	1-13
Antal sider	13
ISSN	0143-0807
DOI	https://doi.org/10.1088/0143-0807/37/6/065003
Status	Udgivet - 22 sep. 2016

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Citationsformater

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author = "Ricardo Coelho and Paulo Borges and {Avelar Sotomaior Karam}, Ricardo",

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doi = "10.1088/0143-0807/37/6/065003",

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AU - Borges, Paulo

AU - Avelar Sotomaior Karam, Ricardo

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N2 - Atwood’s treatise, in which the Atwood machine appears, was published in 1784. About 70 years later, Poggendorff showed experimentally that the weight of an Atwood machine is reduced when it is brought to motion. In the present paper, a twofold connection between this experiment and the Atwood machine is established. Firstly, if the Poggendorff apparatus is taken as an ideal one, the equations of motion of the apparatus coincide with the equations of motion of the compound Atwood machine. Secondly, if the Poggendorff apparatus, which works as a lever, is rebalanced, the equations of this equi- librium provide us with the solution for a compound Atwood machine with the same bodies. This analogy is pedagogically useful because it illustrates a common strategy to transform a dynamic in a static situation improving stu- dents’ comprehension of Newton’s laws and equilibrium.

AB - Atwood’s treatise, in which the Atwood machine appears, was published in 1784. About 70 years later, Poggendorff showed experimentally that the weight of an Atwood machine is reduced when it is brought to motion. In the present paper, a twofold connection between this experiment and the Atwood machine is established. Firstly, if the Poggendorff apparatus is taken as an ideal one, the equations of motion of the apparatus coincide with the equations of motion of the compound Atwood machine. Secondly, if the Poggendorff apparatus, which works as a lever, is rebalanced, the equations of this equi- librium provide us with the solution for a compound Atwood machine with the same bodies. This analogy is pedagogically useful because it illustrates a common strategy to transform a dynamic in a static situation improving stu- dents’ comprehension of Newton’s laws and equilibrium.

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DO - 10.1088/0143-0807/37/6/065003

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JO - European Journal of Physics

JF - European Journal of Physics

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Atwood and Poggendorff: an insightful analogy

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