Model of motion of a particle in a vertical plane in the function of its position parameter

Authors

  • A.V. Nesvidomin National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/energiya2018.01.091

Abstract

The purpose of the research was to develop a computer model of motion of a particle on a rough vertical plane in the environment of the symbolic algebra Maple and with the help of computational experiments to find out its properties.

Trajectory-kinematic characteristics of motion of particles along a rough vertical plane are established. The particle trajectories and graphs of its velocity are shown, depending on the position and different coefficients of friction and initial velocity.

On the basis of the performed research it can be concluded that the motion of a particle in the vertical plane occurs in the same way as in the motion of a particle under the influence of the force of gravity in space.

Key words: motion of a particle, vertical plane, system of differential equations, trajectory, velocity, position

 

References

Nesvidomin, V.M., Pylypaka, S.F., Babka, V.M., Nesvidomin, A.V. (2016). Maple-models of movement of particle on rough fixed surfaces of 2nd order: monograph. Kyiv: CB "KOMPRYNT", 176.

Nesvidomin, A.V. (2017). Particle movement by the horizontal plane which makes vibrational displacements in space. Enerhetyka i avtomatyka, 3, 101-110.

Nesvidomin, A.V. (2017). Simulation of particle motion in still a rough surface and its testing for example inclined plane. Enerhetyka i avtomatyka, 2, 23-32.

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Published

2018-04-23

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Статті