Abstract
A differential equation of the motion of a flexible incompressible strip with a rectangular cross-section curve along the inner rough surface of a horizontal cylinder has been derived in the article. The strip moves up perpendicularly to the generatrix of the cylinder with a given constant speed, that is, the trajectory of movement is the cross-section curve of the cylinder. The equation takes into account the weight forces of the strip and the friction force from the resulting pressure force of the strip on the surface, as well as the additional friction force depending on the compression of the strip and the angle of its coverage with the cylinder. An example for a circular cylinder is considered. The differential equation is solved, the necessary force for pushing the strip is found. The graphs illustrating the influence of different factors on the pushing force of a strip at a given angle of its coverage are constructed.
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