Machinery & Energetics

The article considers the relative movement of a particle on a surface which rotates around a vertical axis. The meridian of the surface is the branch of the parabola, offset from the axis of symmetry by a given value. Differential equations of relative displacement of a particle are compiled and solved by numerical methods. The trajectories of the particle and the graphs of velocity change are constructed. The regularity of the particle's movement when it rises on the surface is clarified.

surface of rotation, angular velocity of rotation, relative movement, particle, differential equations, sliding trajectory