In this paper the differential equations of the general motion of the rigid body with continual mass variation are considered. The impact force and the impact torque that occur due to addition or separation of the body with velocity and angular velocity which differs from the velocity of mass center and angular velocity of the existing body are introduced. The theoretical consideration is applied for solving a real technical problem when the band winds up on the drum. The plane motion of the drum on which the band winds up is considered. The influence of the velocity of the band on the angular velocity of the drum and the motion of the drum mass center is obtained.

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