Abstract
The aim of this paper is to present the laws of motion that can be derived from the Theory of Dynamic Interactions, and of its multiple and significant scientific applications. Based on a new interpretation on the behaviour of rigid bodies exposed to simultaneous non-coaxial rotations, we have developed a hypothesis regarding the dynamic behaviour of these bodies. From these hypotheses and following the observation of the behaviour of free bodies in space, we have developed axioms and a mathematical-physical model. Consequently, we have deduced a movement equation, coherent with the hypotheses and the observed behaviour. This dynamic model, in the case of rigid solid bodies or systems, allows putting forward a series of laws and corollaries in relation to its dynamic performance. These laws have subsequently been confirmed by experimental tests. The whole of this research constitutes a rational and conceptual structure which we have named Theory of Dynamic Interactions (TID). This logical deductive system allows predicting the behaviour of solid bodies subject to multiple accelerations by rotation. In the conclusions, we underline that coherence has been obtained between the principles and axioms, the developed physical-mathematical model, the obtained movement equation, the deduced laws and the realised experimental tests.
Highlights
In an article published in World Journal of Mechanics [1], I suggested new ideas to explain the mechanical behaviour of macroscopic rigid bodies exposed to simultaneous non-coaxial rotations
We start from the initial hypothesis that, in the supposition of simultaneous non coaxial rotations, fields of non-homogeneous velocities are produced in the rigid solid body
The dynamic behaviour of the observed body will be the result of its initial dynamic state, and of the inertial field of accelerations generated in the body by the second torque, due to the non-homogeneous distribution of velocities which generate a field of inertial forces equivalent to a momentum of dynamic interaction D, orthogonal to the acting torque
Summary
In an article published in World Journal of Mechanics [1], I suggested new ideas to explain the mechanical behaviour of macroscopic rigid bodies exposed to simultaneous non-coaxial rotations. I proposed new dynamic hypotheses and a new mathematical model to represent the dynamics of systems under simultaneous rotations, based on a rational interpretation of the superposition of movements. An associated video with experiments was presented to support the discussion in the paper: Reflecting new evidences on Rotational Dynamics [4]. In this new video presented by the investigator Luis A. The subject was so interesting to me that I designed my own experimental tests with the purpose of achieving a clearer cut inertial mobile” He adds at the end of the video: ...“The new dynamic hypotheses, proposed by Professor Gabriel Barceló, are empirically demonstrated”. Numerous examples of these dynamic phenomena can be found in nature, such as the flight of the boomerang
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