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Unsolved Problem In Classical Mechanics

Author:

Kalanov, Temur Z.

Category:

Research Papers

Sub-Category:

Mathematical Physics

Language:

English

Date Published:

June 17, 2020

Downloads:

25

Keywords:

general physics, classical mechanics, Newtonian mechanics, mathematical methods in physics, formalisms in classical mechanics, education, philosophy of science, history of science

Abstract:

The critical analysis of the foundations of classical mechanics is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. The main results of the analysis of concepts “force”, “work” and “work of force” are the following statements: (1) the standard concept “work of force” contradicts to dialectics (practice) and formal logic because the concept “force” is a general abstract concept. The concept “force of interaction of material objects” is a general concrete concept because this concept expresses the property (feature, sign, quality) of the interaction of material objects. But the property does not perform the work because the property is not a material object. Work is performed by a controllable (operated) material object. Consequently, the standard mathematical definition of work is an incorrect relationship; (2) the concept “force of interaction of material objects” can only be defined in a genetic way: one should measure the force of interaction with the help of a dynamometer. The dynamometer reading represents the value of the measured quantity (force). If the measured quantity (force) is a variable quantity, then a change of this quantity (force) is called the movement of this quantity (force).../...

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