[ Etude expérimentale du mouvement d'un corps solide libre ]
Volume 11, Issue 3, June 2015, Pages 676–683
Mbarek Rhazi1, Mérieme Ait Morras2, and Ibtissam Ait Ouaarab3
1 Department of Physics, Ecole Normale Supérieure, B.P 2400, Marrakech, Morocco
2 Department of Physics, Ecole Normale Supérieure, B.P 2400, 40000 Marrakech, Morocco
3 Department of Physics, Ecole Normale Supérieure, B.P 2400, 40000 Marrakech, Morocco
Original language: French
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The plan motion of a free rigid body is analyzed from a video capture webcam. The absolute experimental trajectories of two points of the body allow to determine the relative trajectory of a point from the other point. The kinematic characteristics: speed, instantaneous speed of rotation, the initial kinematic conditions (positions, velocities) are determined by the inverse method from a Maple procedure based on nonlinear adjustment of Statistic package. The trajectories obtained are in good agreement with theoretical predictions. The law of transformation of velocities change is fully verified.
Author Keywords: free body, levitation, video film, trajectories, relative motion, inverse method, Maple, non linear fitting.
Volume 11, Issue 3, June 2015, Pages 676–683
Mbarek Rhazi1, Mérieme Ait Morras2, and Ibtissam Ait Ouaarab3
1 Department of Physics, Ecole Normale Supérieure, B.P 2400, Marrakech, Morocco
2 Department of Physics, Ecole Normale Supérieure, B.P 2400, 40000 Marrakech, Morocco
3 Department of Physics, Ecole Normale Supérieure, B.P 2400, 40000 Marrakech, Morocco
Original language: French
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The plan motion of a free rigid body is analyzed from a video capture webcam. The absolute experimental trajectories of two points of the body allow to determine the relative trajectory of a point from the other point. The kinematic characteristics: speed, instantaneous speed of rotation, the initial kinematic conditions (positions, velocities) are determined by the inverse method from a Maple procedure based on nonlinear adjustment of Statistic package. The trajectories obtained are in good agreement with theoretical predictions. The law of transformation of velocities change is fully verified.
Author Keywords: free body, levitation, video film, trajectories, relative motion, inverse method, Maple, non linear fitting.
Abstract: (french)
Le mouvement plan d'un solide libre est analysé à partir d'une acquisition vidéo par webcam. Les trajectoires expérimentales absolues de deux points de ce solide permettent de déterminer la trajectoire relative d'un point par rapport à l'autre point. Les caractéristiques horaires cinématiques (vitesse de translation et vitesse instantanée de rotation) ainsi que les conditions cinématiques initiales (positions et vitesses) sont déterminées par la méthode inverse à partir d'une procédure Maple basée sur l'ajustement non linéaire du package Statistic. Les trajectoires obtenues sont en bon accord avec les prédictions théoriques. La loi de transformation des vitesses est parfaitement vérifiée.
Author Keywords: solide isolé, lévitation, film vidéo, trajectoires, composition des mouvements, Maple, méthode inverse, ajustement non linéaire.
How to Cite this Article
Mbarek Rhazi, Mérieme Ait Morras, and Ibtissam Ait Ouaarab, “Experimental study of the free rigid body motion,” International Journal of Innovation and Applied Studies, vol. 11, no. 3, pp. 676–683, June 2015.
