Inertia forces and methodology of mechanics (Q2771578)

It is demonstrated that the modern methodology of mechanics which treats inertia forces as fictitious ones is inconsistent, and the corresponding results contradict the continuum mechanics. The Newton laws inevitably lead to the conclusion about the existence of real Newtonian inertial forces at all points of accelerated bodies. However, the conventional formulation of the second law excludes these forces from the class of physical forces. Real meaning of d'Alembert principle consists in changing interpretation of this law by considering the term \(ma\) as a force, which allows one to bring both laws of mechanics into concordance. The translatory and Coriolis inertial forces are components of real Newtonian inertial forces. Forces acting at all points of a body are the same in all reference frames (inertial and non-inertial).