SLIDING OF THE PARTICLE ALONG THE MOVABLE HORIZONTAL PLANE

A lot of engineering problems relate to the interaction working bodies machines with particles technological material and require analytical dependencies particle movement on a moving rough plane. When hits horizontal plane, which remains during movement, begins slide along it. The character plane determines shape particle's sliding trajectories. reciprocating oscillations as well translational oscillations, when all points describe circles, are sufficiently researched. However, there is no rotation in these cases. numerous parts mechanisms carry out just such movement. If moves translationally, trajectory, similar curve described by During rotational spiral correct shape. In case combination two movements, at initial stage relative motion chaotic, but over time it acquires regardless point incidence article deals carries complex result circle constant angular velocity its center simultaneous around this same opposite direction. partial lengths crank slider equal zero, considered. Analytical were found methods differential geometry. obtained regularities make possible significantly expand theory surface. addition, they can be applied geometric design crank-slider type, length crank. Key words: motion, particle, equations.