The article discusses the didactic possibilities of body motion modeling by replacing it with the particles system connected by weightless viscous-elastic rods. It is shown that such computer models allow: 1) to study translational, rotational motion, bodies deformation, precession of gyroscope, etc., to actualize the knowledge of the corresponding concepts and laws of mechanics; 2) to intensify the educational and cognitive students’ activity, to increase their motivation for learning; 3) to master the computer modeling method, to explain the algorithms used and the simulation results; 4) to develop physical and algorithmic thinking, the ability of the coordinate method application, to carry out mathematical processing of information; 5) to implement an interactive dialogue between the student and the computer program; 6) to visualize information about the state of the object, to build motion graphics; 7) to create various animations of the body motion and deformation; 8) to create problem situations that require editing a computer program; 9) to deepen interdisciplinary connections between mathematics, physics and computer science.