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Mechanics of Uniform Motion of a Rigid Body

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Proceedings of the 4th International Conference on Industrial Engineering (ICIE 2018)

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Abstract

This article analyzes the force parameters of the processes of solid body motion when external and internal forces act. On the basis of the analysis of the mechanics of the process of uniform motion of a rigid body, the authors found necessary conditions for uniform motion of it or its static equilibrium when balanced external forces act. A uniform motion of a rigid body under the action of balanced external forces of motion and resistance to motion is realized when these forces have independent sources of energy that interact with each other due to the displacement of a solid body. In this case, the energy source of the force of motion expends a certain amount of energy and the source of resistance force accumulates the same amount of mechanical energy by transferring the mechanical energy from the source of energy of the driving force to the source of the energy of the resistance force.

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Notes

  1. 1.

    “Mechanics. The science of mechanical motion and the mechanical interaction of material bodies” [1].

  2. 2.

    “Theoretical Mechanics. Section of Mechanics, which studies the basic laws and principles of this science and studies the general properties of the motion of mechanical systems” [1].

  3. 3.

    “The greatest difficulties arise defining the appropriate terms. As we know, the meaning of a number of concepts, especially the initial ones, is revealed properly only when considering various aspects of the corresponding phenomena … the meaning of the concept of the work of force is revealed in different ways when considering the theorem of the change of kinetic energy, the theory of the potential force field, the principle of possible displacements and other” [1].

  4. 4.

    P—the designation of any force without it characteristics, from the word “potential” [7,8,9,10,11,12,13,14].

  5. 5.

    “Every body persists in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by forces impressed” [2, 4, 13]. Newton’s words in italic type indicate that the uniform rectilinear motion of the body is a result of the action on the body of several forces.

References

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Correspondence to I. V. Dobrov .

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Dobrov, I.V. (2019). Mechanics of Uniform Motion of a Rigid Body. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 4th International Conference on Industrial Engineering. ICIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95630-5_76

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  • DOI: https://doi.org/10.1007/978-3-319-95630-5_76

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  • Publisher Name: Springer, Cham

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