EN
Physical and mathematical models of roll motions of a ship equipped with a roll stabili-zing tank of working liquid free surface, is presented. Elaboration of the physical modelwas based on the idea of two mutually coupled mathematical pendulae. On the basis ofthe physical model, motion equations of the ship with the tank were determined and sol-ved. A way of using the achieved solutions is shown, as well as calculation formulae forcoefficients of the motion equations, directly related to the main parameters of the shipand tank, are presented. Such form of the coefficients enhances possiblility of applicationof the equations and their solutions in ship design practice. Some examples of the use of the solutions foranalysis of stabilizing effectiveness of a designed tank for a given ship, are also attached. Moreover, guide-lines for correct design of the stabilizing tanks having free surface of liquid, based on the proposed physicalmodel of the ship-tank system, are offerred. It is also indicated that on the basis of the presented results itwould be possible to search for ways to make operation of the stabilizing tanks in question more effective