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 ?
Developed in relation to the solution of boundary value problems of classical mechanics, thermal physics, mathematical physics, electrodynamics, radio physics and magnetohydrodynamics new mathematical method for constructing complete systems of basis (coordinate) functions for geometric objects of arbitrary configuration with boundary conditions of various types and an arbitrary functional form of the recording, use the original special R-function (Rvachev functions) (1960th years);
As solving this problem by using the original classical mechanics, the law of conservation of momentum will be used, it gives
These preliminary considerations anticipate a systematic analysis about the way the presence of initial error imposes a revision of the physical-mathematical framework of relativistic and classical mechanics and paves the way for a new finite or, equivalently, probabilistic perspective.
According to this principle, the basic equations of quantum mechanics "pass asymptotically into the equations of classical mechanics when we assume that h tends to zero.
I was all too happy to do that because relativity really was cool while classical mechanics seemed dull and Ill, less.
This correlation, which transcends space, exemplifies the mysterious nature of quantum mechanics, which cannot be explained using classical mechanics.
The odd happening reported by Searle, that dualism has gradually come to seem intellectually respectable again, may be due to the growing recognition among scientists that premises based on classical mechanics may not constitute a perfectly adequate foundation for understanding the relationship between ion-driven brain dynamics and conscious observation.
Starting with the basics, Fayer simply explains quantum theory in contrast with classical mechanics and how it relates to our everyday experiences.
We now know that even the basic precepts of classical mechanics are profoundly incorrect.
Even today, to be sure, classical mechanics continues to be accurate enough to predict the most mundane eventsasuch as the path a baseball will take when hit by a bat at a certain angleaor even the vastly complex, like the precise orbit a distant planet transcribes around its sun.
This link, of course, is meant in logical sense: there exists the common mathematical core between classical mechanics, theory of automatic control and theory of measurement devices.
In 1678, Sir Isaac Newton published the pioneering treatise Philosophiae Naturalis Principia Mathematica, describing universal gravitation and the three laws of motion, and laying the groundwork for classical mechanics.