Қарағанды университетінің хабаршысы. Математика сериясы (Mar 2019)

Particle motion over a plane, which rotates about a horizontal axis and makes a certain angle with it

  • S. Pylypaka,
  • M. Klendii,
  • V. Trokhaniak

DOI
https://doi.org/10.31489/2019m1/129-139
Journal volume & issue
Vol. 93, no. 1

Abstract

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Differential equations of relative material particle motion over a plane, which rotates about a horizontal axis, have been set up. Plane location relative to a rotation axis is set by a certain angle, which value can range from zero to ninety degrees. If angle value is equal to zero, a plane passes through a rotation axis; if angle value equals to 90 degrees, it is perpendicular to a rotation axis. The equations have been solved using numerical methods. In case of end positions of an angle, analytical solution has been found.

Keywords