Mechanics and Mathematics Modelling

Mechanics of a material point. To be able to describe the motion of a material point, it is necessary to determine its position at a certain point in time. According to the form. Figure 1 shows a rectangular coordinate system that allows you to describe the position of a material point located at point P by coordinates (X, Y, Z). Since a material point has no dimensions and therefore cannot be oriented in one direction or another, these three numbers fully describe its state at any given time. If we consider them as functions of time t, then the function [X(T), Y(T), Z(t)] will draw a trajectory that completely determines the movement of a material point in space. The main task of the dynamics of a material point is to find the dependence of X, Y and Z on T if forces acting on a material point are applied.

A mathematical model is an abstract model used for the mathematical interpretation of a system that explains a specific phenomenon and process using mathematical formulas and relationships. The simplest representation of these models are linear regression formulas, which are displayed as y = B0+B1.