| Popis: |
The motion of a particle over a rough horizontal plane that rotates with constant angular velocity about a vertical axis is studied. The particle is acted on by dry friction with the plane that satisfies Coulomb's law. The equations of motion are solved asymptotically close to the point where the particle stops. Various types of motion with stopping are found. The motions are simulated numerically over the full range of variation of the parameters and initial conditions. As a result, typical trajectories of particle motion are constructed. The integral manifold which isolates in phase space the motions with stopping and the motions in which the particle moves away to infinity is found. The phase trajectories are constructed in this manifold. |
