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The Open Source Physics Project is supported by NSF DUE-0442581.

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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.
1 primary supplement is available
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Relativity
- General Relativity
- Mathematics
= Differential Geometry
= Manifold
= Tensors
- Spacetime Fundamentals
= Equivalence Principle
= General Covariance
= Metric
= World Lines
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Interactive Simulation
= Tutorial
Intended Users Formats Ratings
- Learners
- Researchers
- Educators
- text/html
- application/javascript
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Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Courtesy of:
kostas papamichalis
Record Creator:
Metadata instance created March 26, 2020 by kostas papamichalis
Record Updated:
July 19, 2020 by Wolfgang Christian
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Record Link
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 August 7, 2020, 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 7 August 2020).
MLA Format
Papamichalis, Kostas. The constrained motion of a particle along a circular curve: Newtonian and Relativistic model. 2020. 7 Aug. 2020 <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 = {2020}, Number = {7 August 2020}, 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 2020
%N 7 August 2020
%9 text/html
%U http://users.sch.gr/kostaspapamichalis/ejss_model_constrMotion/index.html


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