written by
Kostas Papamichalis
In this work, we study, simulate and compare the constrained motion of a particle within two theoretical models: a relativistic and a Newtonian. The main objective is to get the user acquainted with the differences emerging in the treatment of the same mechanical system within the frames of Newtonian and the relativistic point of view. In the virtual environment of the simulation, the user can change the initial state of the moving particle and the gravity field within which it moves; so he can notice the resulting variations in the motion of the system.
To achieve the objectives we have set, the subsequent issues have been implemented: a) In the context of Newtonian Mechanics, determine and study a mechanical system consisted of a particle moving along a fixed curve of the three-dimensional Euclidean space, in the presence of a homogeneous gravitational field. In particular, we have considered the motion of a bead along a vertical circular wire. The same mechanical system is considered and studied in the context of the General Relativity. Hence we are in the position to compare the predictions obtained by the Newtonian and the relativistic model for the evolution of a well-known mechanical system. b) Simulate the motion of the particle according to the Newtonian and the relativistic model and compare their predictions in the virtual environment of the simulation. The simulation has been compiled in JavaScript language on the Easy JavaScript Simulations platform.
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15357">Papamichalis, Kostas. The constrained motion of a particle along a circular curve: Newtonian and Relativistic model. 2020.</a>
AIP Format
K. Papamichalis, (2020), WWW Document, (http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html).
AJP/PRST-PER
K. Papamichalis, The constrained motion of a particle along a circular curve: Newtonian and Relativistic model (2020), <http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html>.
APA Format
Papamichalis, K. (2020). The constrained motion of a particle along a circular curve: Newtonian and Relativistic model. Retrieved April 28, 2024, from http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html
Chicago Format
Papamichalis, Kostas. The constrained motion of a particle along a circular curve: Newtonian and Relativistic model. 2020. http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html (accessed 28 April 2024).
MLA Format
Papamichalis, Kostas. The constrained motion of a particle along a circular curve: Newtonian and Relativistic model. 2020. 28 Apr. 2024 <http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html>.
BibTeX Export Format
@misc{
Author = "Kostas Papamichalis",
Title = {The constrained motion of a particle along a circular curve: Newtonian and Relativistic model},
Volume = {2024},
Number = {28 April 2024},
Year = {2020}
}
Refer Export Format
%A Kostas Papamichalis %T The constrained motion of a particle along a circular curve: Newtonian and Relativistic model %D 2020 %U http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html %O text/html
EndNote Export Format
%0 Electronic Source %A Papamichalis, Kostas %D 2020 %T The constrained motion of a particle along a circular curve: Newtonian and Relativistic model %V 2024 %N 28 April 2024 %9 text/html %U http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. |