Open AccessA Mathematical Model for Top Motions
Publication year - 2019
Publication title -
advances in theoretical and computational physics
Language(s) - English
Resource type - Journals
ISSN - 2639-0108
DOI - 10.33140/atcp.02.04.08
Subject(s) - inertial frame of reference , gyroscope , angular momentum , classical mechanics , torque , physics , mathematical model , fictitious force , center of mass (relativistic) , centrifugal force , work (physics) , angular velocity , motion (physics) , mechanics , energy–momentum relation , quantum mechanics , rotational speed , thermodynamics
The topic of the top motions is not new but the known publications represent wrong mathematical models for its gyroscopiceffects. Recent investigations have demonstrated the physics of gyroscopic effects is more complex. On any spinning objectsare acting the system of interrelated internal torques generated by their rotating mass elements and center mass. The inertialtorque is produced by the centrifugal, common inertial and Coriolis forces, as well as the change in the angular momentum.These inertial torqueses represent the fundamental principle of gyroscope theory. The new inertial torques enables derivingmathematical models for the motions of any rotating objects that were impossible for a long time. The aim of this work is torepresent mathematical models for the motions of the well-balanced top on the flat horizontal surface. This work describes thephysics of the top motions and closes the problem of many years of discussion. The new analytical approach for the top’s motionsdefinitely responds to the practical results and represents a good example of the educational process.