Аннотация:A model problem of overcoming a blockage of trees in a forest by a walking robot is considered. The mechanical system consists of two homogeneous cylinders that lie on a horizontal plane on top of each other at a certain angle. The problem of the equilibrium of mutually perpendicular cylinders is solved. Friction limits are written out. An analytical study of the system with friction is carried out for the case when the cylinders are perpendicular, it is found out at what angles the equilibrium of the system is possible. Equilibrium conditions for a system with a force acting on it from a robot are written out. An analytical study of a system without a robot was carried out, as well as a numerical study for a system with a robot.