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Mechanical Systems, Classical Models - Volume II: Mechanics of Discrete and Continuous Systems (Hardcover, 2009 ed.)
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Mechanical Systems, Classical Models - Volume II: Mechanics of Discrete and Continuous Systems (Hardcover, 2009 ed.)
Series: Mathematical and Analytical Techniques with Applications to Engineering
Expected to ship within 10 - 15 working days
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As it was already seen in the first volume of the present book, its
guideline is precisely the mathematical model of mechanics. The
classical models which we refer to are in fact models based on the
Newtonian model of mechanics, on its five principles, i. e. : the
inertia, the forces action, the action and reaction, the
parallelogram and the initial conditions principle, respectively.
Other models, e. g. , the model of attraction forces between the
particles of a discrete mechanical system, are part of the
considered Newtonian model. Kepler's laws brilliantly verify this
model in case of velocities much smaller than the light velocity in
vacuum. The non-classical models are relativistic and quantic.
Mechanics has as object of study mechanical systems. The first
volume of this book dealt with particle dynamics. The present one
deals with discrete mechanical systems for particles in a number
greater than the unity, as well as with continuous mechanical
systems. We put in evidence the difference between these models, as
well as the specificity of the corresponding studies; the
generality of the proofs and of the corresponding computations
yields a common form of the obtained mechanical results for both
discrete and continuous systems. We mention the thoroughness by
which the dynamics of the rigid solid with a fixed point has been
presented. The discrete or continuous mechanical systems can be
non-deformable (e. g.
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