Atwood and Poggendorff: an insightful analogy

Research output: Contribution to journal › Journal article › Research › peer-review

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Atwood and Poggendorff: an insightful analogy. / Coelho, Ricardo; Borges, Paulo; Avelar Sotomaior Karam, Ricardo.

In: European Journal of Physics, Vol. 37, No. 6, 22.09.2016, p. 1-13.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Coelho, R, Borges, P & Avelar Sotomaior Karam, R 2016, 'Atwood and Poggendorff: an insightful analogy', European Journal of Physics, vol. 37, no. 6, pp. 1-13. https://doi.org/10.1088/0143-0807/37/6/065003

APA

Coelho, R., Borges, P., & Avelar Sotomaior Karam, R. (2016). Atwood and Poggendorff: an insightful analogy. European Journal of Physics, 37(6), 1-13. https://doi.org/10.1088/0143-0807/37/6/065003

Vancouver

Coelho R, Borges P, Avelar Sotomaior Karam R. Atwood and Poggendorff: an insightful analogy. European Journal of Physics. 2016 Sep 22;37(6):1-13. https://doi.org/10.1088/0143-0807/37/6/065003

Author

Coelho, Ricardo ; Borges, Paulo ; Avelar Sotomaior Karam, Ricardo. / Atwood and Poggendorff: an insightful analogy. In: European Journal of Physics. 2016 ; Vol. 37, No. 6. pp. 1-13.

Bibtex

@article{454fc9561a9b4a239d47e703bb084982,
title = "Atwood and Poggendorff: an insightful analogy",
abstract = "Atwood{\textquoteright}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{\textquoteright} comprehension of Newton{\textquoteright}s laws and equilibrium.",
author = "Ricardo Coelho and Paulo Borges and {Avelar Sotomaior Karam}, Ricardo",
year = "2016",
month = sep,
day = "22",
doi = "10.1088/0143-0807/37/6/065003",
language = "English",
volume = "37",
pages = "1--13",
journal = "European Journal of Physics",
issn = "0143-0807",
publisher = "Institute of Physics Publishing Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - Atwood and Poggendorff: an insightful analogy

AU - Coelho, Ricardo

AU - Borges, Paulo

AU - Avelar Sotomaior Karam, Ricardo

PY - 2016/9/22

Y1 - 2016/9/22

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.

UR - https://iopscience.iop.org/article/10.1088/0143-0807/37/6/065003?fromSearchPage=true

U2 - 10.1088/0143-0807/37/6/065003

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

M3 - Journal article

VL - 37

SP - 1

EP - 13

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 6

ER -

ID: 168782516