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...
| Main Authors: | , |
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| Format: | Article |
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Universiti Pendidikan Sultan Idris
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/110579/ |
| _version_ | 1848865555548733440 |
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| author | Umar, Mohd Faudzi Mohd Shah, Nurisya |
| author_facet | Umar, Mohd Faudzi Mohd Shah, Nurisya |
| author_sort | Umar, Mohd Faudzi |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T14:06:34Z |
| format | Article |
| id | upm-110579 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:06:34Z |
| publishDate | 2023 |
| publisher | Universiti Pendidikan Sultan Idris |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Umar, Mohd Faudzi Mohd Shah, Nurisya Newtons second law on positive real line R+ |
| title | 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_short | Newtons second law on positive real line R+ |
| title_sort | newtons second law on positive real line r+ |
| url | http://psasir.upm.edu.my/id/eprint/110579/ http://psasir.upm.edu.my/id/eprint/110579/ http://psasir.upm.edu.my/id/eprint/110579/ |