# Classical Mechanics

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## Classical mechanics

The science dealing with the description of the positions of objects in space under the action of forces as a function of time. Some of the laws of mechanics were recognized at least as early as the time of Archimedes (287–212 b.c. ). In 1638, Galileo stated some of the fundamental concepts of mechanics, and in 1687, Isaac Newton published his Principia, which presents the basic laws of motion, the law of gravitation, the theory of tides, and the theory of the solar system. This monumental work and the writings of J. D'Alembert, J. L. Lagrange, P. S. Laplace, and others in the eighteenth century are recognized as classic works in the field of mechanics. Jointly they serve as the base of the broad field of study known as classical mechanics, or Newtonian mechanics. This field does not encompass the more recent developments in mechanics, such as statistical, relativistic, or quantum mechanics.

In the broad sense, classical mechanics includes the study of motions of gases, liquids, and solids, but more commonly it is taken to refer only to solids. In the restricted reference to solids, classical mechanics is subdivided into statics, kinematics, and dynamics. Statics considers the action of forces that produce equilibrium or rest; kinematics deals with the description of motion without concern for the causes of motion; and dynamics involves the study of the motions of bodies under the actions of forces upon them. For some of the more important areas of classical mechanics See Ballistics, Collision (physics), Dynamics, Energy, Force, Gravitation, Kinematics, Lagrange's equations, Mass, Motion, Rigid-body dynamics, Statics, Work

## Classical Mechanics

mechanics based on Newton’s laws of mechanics, dealing with the motion of macroscopic material bodies at speeds that are low in comparison with the velocity of light. The motion of particles at speeds of the order of the velocity of light is studied in the theory of relativity, and motion of microscopic particles is studied in quantum mechanics.

## classical mechanics

[′klas·ə·kəl mə′kan·iks]
(mechanics)
Mechanics based on Newton's laws of motion.
References in periodicals archive ?
Instead of fixed points, as in classical dynamic systems, one deals with fixed regions (i.
The study issues are used in elaboration of calculation- and-graphic work "Use of comparative techniques for solving classical dynamics problems in the study of motion of a holonomic one-DOF mechanical system".
Therefore, we may claim that of the restrictions on the determinism of classical dynamics related to the disappearance into infinity of point particles, the restriction presented in this article is the only one (to the author's knowledge) that does not need to make use of the invariability of the laws of classical dynamics under temporal reversal.
The familiar phenomenon of self-similarity appears as the analogue of periodicity in classical dynamics.
Contributors cover the life and work of Prigogine, asymmetry in nonequilibrium statistical mechanics in time, quantum and classical dynamics of nonintegrable systems, statistical mechanics of a gravitational plasma, inverse problems for reaction-diffusion systems with applications to geographical population genetics, Carnot efficiency, genome-wide sequence analysis in the modeling of the replication of mammals as it applies to DNA in chromatin, and biological rhythms as temporal dissipative structures.
He covers the geometry of crystal lattice and its classical dynamics, the mechanics of a one-dimensional crystal, general analysis of vibrations of monatomic and polyatomic lattices, the frequency spectrum and it connection with the Green Function, acoustics and phonon crystals, the quantum mechanics of crystals including the interactions of excitations, and defects, such as point and linear defects, localized vibrations, and elastic fields of dislocations.

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