On the motion of a nonholonomically constrained system in the nonresonance case

The motion of a nonlinearly nonholonomically constrained system comprised of two material points connected by a “fork” is investigated in the nonresonance case. This leads to two equations of motion; one of which is nonlinear in the system velocities. The system is shown to be integrable in the nonresonance case, and the motion is described analytically and also computed numerically for several parameter values yielding results that conform to the analytical predictions.