Development of the computer program of the model of Poinsot's rotation of the object with a fixed point

Authors

DOI:

https://doi.org/10.15587/2313-8416.2017.107547

Keywords:

Poinsot’s interpretation, moment of inertia, inertia ellipsoid, rolling of an ellipsoid, polhode, herpolhode

Abstract

A maple program for interpreting the Poinsot’s rotation of an object with a fixed point (Euler problem) is developed. In the computer animation mode, a graphical rolling model is obtained without sliding the ellipsoid of inertia of this object along one of its tangent planes. As a result, an image of the herpolhode is constructed on the tangent plane, and on the surface of the ellipsoid - it corresponds to the polhode

Author Biographies

Leonid Kutsenko, National University of Civil Protection of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Professor

Department of Engineering and Rescue Technology

Leonid Zapolsky, Ukrainian Research Institute of Civil Defense Rybalska str., 18, Kyiv, Ukraine, 01011

PhD, Senior Researcher, Head of department

Scientific and organizational department

References

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Program rolling of ellipsoid in package MATHEMATICA. Available at: https://mathematica.stackexchange.com/questions/23297/how-can-i-simulate-a-pot-lid-rotating-around-an-axis-that-is-quickly-rotating

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Poinsot's construction. Polhode. Available at: https://www.youtube.com/watch?v=BwYFT3T5uIw

Published

2017-07-31

Issue

Section

Technical Sciences