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An equation of motion of the manipulator is obtained taking into account the influence of the inertial component of each link of the boom system and the effect of the oscillatory movement of the cargo on the dynamic loads of the metalware elements and hydraulic drive elements. The influence of the simultaneous movement of the first jib section, the second jib section and the telescopic jib section on cargo oscillation, as well as the effect of cargo oscillation on dynamic loads that occur in the boom system and manipulator hydraulic drive elements, is determined.

We consider the problem of equilibrium of an incompressible half-space with an internal symmetric Vshaped crack, whose tip reaches the half-space surface. Using the found homogeneous solutions of this problem, we determined the character of stress behavior in approaching the crack tip.

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We consider the problem of equilibrium of an incompressible half-space weakened by an internal Vshaped crack lying in a plane perpendicular to the surface of the half-space, and its tip reaches the surface. By using Mehler-Fock-type integral transformation and Wiener-Hopf method, we construct homogeneous solutions of the problem and, on the basis of them, perform an analysis of specific features of the behavior of discontinuous stresses in the vicinity of the tip of the crack and analyze the process of its propagation.