This volume is the focal point of the work undertaken in the previous volumes of this set of books: the statement of the fundamental principle of the dynamics whose implementation, according to two paths whose choice depends on the problem to be treated, leads to equations of motion.
In order to achieve this, it is treated first of all in the context of solids in their environment, as a prerequisite for the formulation of the fundamental principle. Then, in addition to its use in some exercises, the approach is illustrated by three particular cases.
The first is an example where it is developed end-to-end and addresses the two approaches that lead to the equations of motion. The two other examples deal with two classical but important subjects, the movement of the Earth according to the hypotheses that can be stated about it, and Foucault's pendulum.
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Yes, you can access Movement Equations 3 by Michel Borel,Georges Vénizélos in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.
The movement equations that have been presented in the previous volumes of this series on non-deformable solid mechanics are the scalar expression of the fundamental principle of dynamics and the different consequences that stem from it. But in using this principle, the choice of the frame in which to apply it (depending on the motion being studied) is crucial. The step is therefore to see how this decision can be made so that mechanics users may have a proper frame for the studied motion that is suitable for its context.
1.1. The fundamental principle of dynamics and its scalar consequences
The fundamental principle of dynamics is one of the general laws that govern mechanics just as the secondary principles that will be presented in section 1.2 later on. Their formulation is the result of experimental observations and measures; their validity is essentially based on the fact that they are universally used.
1.1.1. Fundamental principle of dynamics
There exists at least one reference frame
g
, called Galilean, and a way to measure time (called the preferred time scale), such as, at any given time and whatever the considered physical set
