classical mechanics
Quick Summary
Classical mechanics is the branch of physics concerned with the motion of bodies under the action of forces, or their equilibrium when forces are balanced. It is based on Isaac Newton's laws of motion, which describe how objects at rest stay at rest, and how moving objects continue to move in a straight line unless acted upon by an external force.12
The core concepts in classical mechanics are force, mass, and motion. It also emphasizes conserved quantities like energy, momentum, and angular momentum, which remain constant over time. While classical mechanics is an approximation of more profound theories like quantum mechanics and relativity, it remains fundamental to our understanding of the world and is widely applied in engineering and celestial calculations.123
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positivismThe critical positivism of Mach and AvenariusThe Newtonian doctrine according to which space and time (see also space-time) are absolute or substantive realities had been incisively criticized by the 17th-century rationalist Gottfried Leibniz and was subjected by Mach to even more searching scrutiny. While Leibniz
Read MoreThe Newtonian doctrine according to which space and time (see also space-time) are absolute or substantive realities had been incisively criticized by the 17th-century rationalist Gottfried Leibniz and was subjected by Mach to even more searching scrutiny. While Leibniz
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philosophy of physicsThe logical structure of Newtonian mechanicsThe rate at which the position of a particle is changing at a particular time, as time flows forward, is called the velocity of the particle at that time. The rate at which the velocity of a particle is changing at a particular…
Read MoreThe rate at which the position of a particle is changing at a particular time, as time flows forward, is called the velocity of the particle at that time. The rate at which the velocity of a particle is changing at a particular…
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principles of physical scienceThe Newtonian paradigmThis theory of classical mechanics is described in detail in the article mechanics, but some general comments may be offered here. For the present purpose, it seems sufficient to consider only bodies moving along a straight line and acted upon by forces parallel to the motion. Newton’s laws…
Read MoreThis theory of classical mechanics is described in detail in the article mechanics, but some general comments may be offered here. For the present purpose, it seems sufficient to consider only bodies moving along a straight line and acted upon by forces parallel to the motion. Newton’s laws…
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physical scienceIslamic and medieval scienceMechanics was one of the most highly developed sciences pursued in the Middle Ages. Operating within a fundamentally Aristotelian framework, medieval physicists criticized and attempted to improve many aspects of Aristotle’s physics.
Read MoreMechanics was one of the most highly developed sciences pursued in the Middle Ages. Operating within a fundamentally Aristotelian framework, medieval physicists criticized and attempted to improve many aspects of Aristotle’s physics.
Read More- physical scienceMechanics
…fought in the realm of mechanics as well as astronomy. The Ptolemaic–Aristotelian system stood or fell as a monolith, and it rested on the idea of Earth’s fixity at the centre of the cosmos. Removing Earth from the centre destroyed the doctrine of natural motion and place, and circular motion…
Read More…fought in the realm of mechanics as well as astronomy. The Ptolemaic–Aristotelian system stood or fell as a monolith, and it rested on the idea of Earth’s fixity at the centre of the cosmos. Removing Earth from the centre destroyed the doctrine of natural motion and place, and circular motion…
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- chaos theory
In classical mechanics the behaviour of a dynamical system can be described geometrically as motion on an “attractor.” The mathematics of classical mechanics effectively recognized three types of attractor: single points (characterizing steady states), closed loops (periodic cycles), and tori (combinations of several cycles). In the…
Read MoreIn classical mechanics the behaviour of a dynamical system can be described geometrically as motion on an “attractor.” The mathematics of classical mechanics effectively recognized three types of attractor: single points (characterizing steady states), closed loops (periodic cycles), and tori (combinations of several cycles). In the…
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electromagnetic radiationWave theory and corpuscular theory…small or large, obey the laws of mechanics, and all phenomena are in the last analysis based on matter in motion. A conceptual difficulty in Newtonian mechanics, however, is the way in which the gravitational force between two massive objects acts over a distance across empty space. Newton did not…
Read More…small or large, obey the laws of mechanics, and all phenomena are in the last analysis based on matter in motion. A conceptual difficulty in Newtonian mechanics, however, is the way in which the gravitational force between two massive objects acts over a distance across empty space. Newton did not…
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timeEarly modern and 19th-century scientific philosophies of time…that made the laws of mechanics simpler, and its discrepancy with apparent time was attributed to such things as irregularities in the motion of Earth. Insofar as these motions were explained by Newton’s mechanics (or at least could not be shown to be inexplicable), the procedure was vindicated. Similarly, in…
Read More…that made the laws of mechanics simpler, and its discrepancy with apparent time was attributed to such things as irregularities in the motion of Earth. Insofar as these motions were explained by Newton’s mechanics (or at least could not be shown to be inexplicable), the procedure was vindicated. Similarly, in…
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- universeThe Copernican revolution
…the so-called first law of mechanics—namely, that a body in motion, freed from friction and from all other forces, would move, not in a circle, but in a straight line at uniform speed. The frame of reference for making such measurements was ultimately the “fixed stars.” Galileo also argued that,…
Read More…the so-called first law of mechanics—namely, that a body in motion, freed from friction and from all other forces, would move, not in a circle, but in a straight line at uniform speed. The frame of reference for making such measurements was ultimately the “fixed stars.” Galileo also argued that,…
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Hermann von HelmholtzEarly life…reduced to the laws of classical mechanics, which, in his view, encompassed matter, force, and, later, energy, as the whole of reality.
Read More…reduced to the laws of classical mechanics, which, in his view, encompassed matter, force, and, later, energy, as the whole of reality.
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Joseph-Louis Lagrange, comte de l’Empire…so-called Lagrangian equations for a classical mechanical system in which the kinetic energy of the system is related to the generalized coordinates, the corresponding generalized forces, and the time. The book was typically analytic; he stated in his preface that “one cannot find any figures in this work.”
Read More…so-called Lagrangian equations for a classical mechanical system in which the kinetic energy of the system is related to the generalized coordinates, the corresponding generalized forces, and the time. The book was typically analytic; he stated in his preface that “one cannot find any figures in this work.”
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Gottfried Wilhelm LeibnizEarly life and education…laws of motion, known as mechanics, Leibniz became, in 1676, the founder of a new formulation, known as dynamics, which substituted kinetic energy for the conservation of movement. At the same time, beginning with the principle that light follows the path of least resistance, he believed that he could demonstrate…
Read More…laws of motion, known as mechanics, Leibniz became, in 1676, the founder of a new formulation, known as dynamics, which substituted kinetic energy for the conservation of movement. At the same time, beginning with the principle that light follows the path of least resistance, he believed that he could demonstrate…
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Leonardo da VinciMechanics and cosmologyAccording to Leonardo’s observations, the study of mechanics, with which he became quite familiar as an architect and engineer, also reflected the workings of nature. Throughout his life Leonardo was an inventive builder; he thoroughly understood the principles of mechanics of his…
Read MoreAccording to Leonardo’s observations, the study of mechanics, with which he became quite familiar as an architect and engineer, also reflected the workings of nature. Throughout his life Leonardo was an inventive builder; he thoroughly understood the principles of mechanics of his…
Read More- Pierre-Louis Moreau de Maupertuis
…and astronomer who helped popularize Newtonian mechanics.
Read More…and astronomer who helped popularize Newtonian mechanics.
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