Analytical solutions of the stress--deformation state of the rock around a working are usually derived on the assumption that interaction between the roof rock and the coal seam is in the form of flipping without friction, i.e., there is no tangential stress Xy at the contact between the seam and the rock [1][2][3][4][5]. An analogous condition, i.e., absence of tangential stresses at the contact between the coal seam and the rock, is adopted in several attempts to determine the abutment pressure on the coal seam [6][7][8][9]. Other authors [10][11] discuss the application of the experimental-analytical method [12][13][14] to various practical problems: they also assume slippage without friction. Vaisman et al. [15], however, suggested that other possible conditions of roof-seam Interaction should be used in calculating the state of stress of the rock -namely, the conditions of rigid cohesion and of slippage with friction.In this article we discuss the influence of the conditions at the contact between the roof rock and the coal seam (Fig. /).on the stress-deformation state of the rock as determined by an experimental-analytical method. As the reader will know, in this method one of the boundary conditions is given in the form of a profile curve of displacements of the roof normal to the seam at the contact with the seam, as found from experimental observations in actual pits. The second boundary condition considers two types of interaction between the rock and the seam at the contact y = 0, namely, frietionless flippage Xy = 0, and rigid cohesion u = 0.Analysis of the results of many measurements of side-rock displacement reveals that the profile curves of roof displacement can be approximated (see Fig. 1 In both cases of the second boundary conditions (Xy = 0 or u = 0 at y= 0), the formulas for the displacements and stresses in some region of the rock are as follows [16]. For the dis-