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Newtons second law on positive real line R+

In this work, a classical particle that moves on ℝ+ will be investigated by using the affine commutator relation which corresponds to the Poisson bracket in classical mechanics where the equation of motions and the Newton’s second law will be modified. Two example of physical systems will be studied...

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Main Authors: Umar, Mohd Faudzi, Mohd Shah, Nurisya
Format: Article
Published: Universiti Pendidikan Sultan Idris 2023
Online Access:http://psasir.upm.edu.my/id/eprint/110579/
https://ejournal.upsi.edu.my/index.php/JSML/article/view/8756
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spelling my.upm.eprints.1105792024-05-15T16:33:42Z http://psasir.upm.edu.my/id/eprint/110579/ Newtons second law on positive real line R+ Umar, Mohd Faudzi Mohd Shah, Nurisya In this work, a classical particle that moves on ℝ+ will be investigated by using the affine commutator relation which corresponds to the Poisson bracket in classical mechanics where the equation of motions and the Newton’s second law will be modified. Two example of physical systems will be studied further using the modified Newton’s second law namely free particle and harmonic oscillator. The result concludes that for a free particle, the force on ℝ+ is no longer zero and a linear force due positive real line and fixed momentum. While, classical dynamics on ℝ+ for simple harmonic oscillator system is a qubic force. Universiti Pendidikan Sultan Idris 2023-11 Article PeerReviewed Umar, Mohd Faudzi and Mohd Shah, Nurisya (2023) Newtons second law on positive real line R+. Journal of Science and Mathematics Letters, 11 (spec.). pp. 158-162. ISSN 2462-2052; ESSN: 2600-8718 https://ejournal.upsi.edu.my/index.php/JSML/article/view/8756 10.37134/jsml.vol11.sp.17.2023
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this work, a classical particle that moves on ℝ+ will be investigated by using the affine commutator relation which corresponds to the Poisson bracket in classical mechanics where the equation of motions and the Newton’s second law will be modified. Two example of physical systems will be studied further using the modified Newton’s second law namely free particle and harmonic oscillator. The result concludes that for a free particle, the force on ℝ+ is no longer zero and a linear force due positive real line and fixed momentum. While, classical dynamics on ℝ+ for simple harmonic oscillator system is a qubic force.
format Article
author Umar, Mohd Faudzi
Mohd Shah, Nurisya
spellingShingle Umar, Mohd Faudzi
Mohd Shah, Nurisya
Newtons second law on positive real line R+
author_facet Umar, Mohd Faudzi
Mohd Shah, Nurisya
author_sort Umar, Mohd Faudzi
title Newtons second law on positive real line R+
title_short Newtons second law on positive real line R+
title_full Newtons second law on positive real line R+
title_fullStr Newtons second law on positive real line R+
title_full_unstemmed Newtons second law on positive real line R+
title_sort newtons second law on positive real line r+
publisher Universiti Pendidikan Sultan Idris
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/110579/
https://ejournal.upsi.edu.my/index.php/JSML/article/view/8756
_version_ 1800093829573902336
score 13.211869

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