Maple- models of motion of a particle in a plane that performs reciprocating oscillations
Abstract
The purpose of the study is the development of Maple-model of motion of a particle on a sloping plane, which performs reciprocating oscillations.
A computational experiment was conducted to study the trajectory-kinematic properties of the motion of a particle on a sloping plane, which performs reciprocating oscillations.
It is shown that for a horizontal rough plane, which performs reciprocating oscillation displacements, the absolute and relative trajectories of the particle are most rapidly stabilized by the largest coefficient of friction. Particles with a lower coefficient of friction have a smaller amplitude of absolute trajectory. The initial velocity and direction of throwing influence the time and place of the stabilization of the movement.
Key words: accompanying triedrone, material point, inclined plane, trajectory of motion
References
Nesvidomin, A. V. (2015). Modeliuvannia rukhu chastynky po shorstkii horyzontalnii ploshchyni, yaka zdiisniuie priamoliniini kolyvalni peremishchennia [Modeling of motion of a particle on a rough horizontal plane, which carries out straight-line oscillatory displacements]. Suchasni problemy modeliuvannia: zb. nauk prats MDPU im. B. Khmelnytskoho, 4,100-104.
Pylypaka, S. F. (1998). Kinematychna interpretatsiia rukhu suprovidnykh tryhrannykiv Frene i Darbu cherez vnutrishni parametry kryvykh [Kinematical interpretation of the motion of the accompanying Fresnel and Darboux triangles through the internal parameters of the curves]. Naukovyi visnyk NAU, 4, 143-146.
Pylypaka, S. F. (2006). Teoriia skladnoho rukhu materialnoi chastynky na ploshchyni. Chastyna persha. Absoliutna shvydkist i traiektoriia. [The theory of the complex motion of a particle on a plane. Part One Absolute velocity and trajectory]. Elektrotekhnika i mekhanika, 1, 84-94.
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