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The sliding of the heavy rotating disk along the incline plane in the presence of dry friction is one of the classical models in theoretical mechanics.It has been thoroughly studied by numerous authors.In a majority of publications, the authors have used the Coulomb dry friction model, where the force at the point of contact is assumed to be directed opposite to the relative sliding velocity and be independent of its modulus.But there are numerous experimental data testifying that these assumptions do not agree with the real situation in which the interacting bodies simultaneously participate in translation and rotation.