Figure 1: Cartesian coordinate system, Source: Nicolov, 2009
Force acting on the material point is a Newtonian type force. Knowing the material point mass (m) and applying
Principle 2 of Newtonian mechanics, we have the relations: F m a or
F m a i m a j m a k x y z (3)
Knowing his position vector of a material point, ie trajectory equation and parametric equations, one can determine
the speed, acceleration and type of force acting on it. Knowing the type of force acting on the material point trajectory
equation can be determined that he is travelling based on the forces acting.