Skateboard dynamics Original Research Article

Dynamics of the controlled motion of a skateboard over rough horizontal plane is considered. The control is realized by means of purpose of change of displacements and turnings of a sportsmanʹs body. Propulsion force that provides the acceleration of skateboard and overcomes friction drag is produced by reaction forces of non-holonomic constraints. Differential equations of the motion are derived in Appellʹs form. Dependence of the skateboard velocity and its trajectory on the motions of a sportsmanʹs body is obtained.