A factory crane stands on rails. The crane boom, making an angle a = 60° with the vertical, is located in a plane perpendicular to the rails. Remaining in this plane, the arrow rotates through an angle of 2a. What speed V will the crane acquire in this case? The mass of the crane with the boom is M = 73 t, the mass of the boom is m = 20 t, the center of mass of the boom is located at a distance of l = 5 m from its base. The rails are directed along the meridian, geographic latitude j = 60°. Neglect rolling friction and friction in the axles of the crane wheels.
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