The differential equations of relative movement of a particle on the external surface of the inclined cylinder which carries out oscillatory movement were received in the article. All points of the cylinder describe circles in horizontal planes. The equations were solved by numerical methods and the trajectories of the relative motion of the particle on the surface of the cylinder are constructed. Graphs of other kinematic characteristics as a function of time are given. Partial cases when the axis of the cylinder is located horizontally or at an angle of friction to the horizontal plane are considered.
relative motion, inclined cylinder, outer surface, particle, differential equations, kinematic parameters