The problems of kinematics and mechanics of interaction of a rigid metal wheel with a deformable base on basis of the theory of instant tipping of a lever are considered. Calculated dependences are presented to determine the main indicators of interaction of the wheel with the supporting surface: strength, speed and power. It is established that rolling of the drive wheel, in comparison with the follower wheel, leads to an increase in the depth of the track, and rolling resistance force decreases in this case.