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L. D. Landau and E. M. Lifshitz, “Mecánica I,” Ed. Reverté. 1994, p. 24. “The Angular or Kinetic Momentum of a System Depends on, as We Know, the Point in Relation to Which It Is Defined. In Mechanics of the Rigid Solid, the Most Rational Thing Is to Choose This Point in the Origin of the Mobile System of Coordinates, That Is, in the Body’s Centre of Mass, and, for What Follows, We Will Indicate by M the Angular Momentum Thus Defined”... In Line with Formula (9.6), When the Origin of Coordinates in the Body’s Centre of Mass Is Chosen, the Angular Momentum M Equals the “Intrinsic” Angular Momentum Resulting from the Movement of the Body’s Points in Relation to the Centre of Mass,” 1994, p. 127.
has been cited by the following article:
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TITLE:
Theory of Dynamic Interactions: Laws of Motion
AUTHORS:
Gabriel Barceló
KEYWORDS:
Dynamics Fields; Dynamical Systems Theory; Intrinsic Angular Momentum; Speeds Coupling; Theory of Dynamics Interactions
JOURNAL NAME:
World Journal of Mechanics,
Vol.3 No.9,
December
10,
2013
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.