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Chapter 16 Non-Newtonian Referentials

The main task of this chapter is to generalize the Fundamental Theorem of Dynamics relative to a non-Newtonian referential. This generalization is fundamental to the study of the effect of Earth’s rotation on the motion of material systems. For the motion of particles, Newton’s second law is modified by the appearance of inertial forces of two types: transport and Coriolis forces. More generally, for material systems, the FTD is modified by inertial action screws. We shall learn how to determine the transport and Coriolis inertial screws for rigid bodies. These closed-form expressions will be useful to derive a generalization of the Kinetic Energy Theorem relative to non-Newtonian referentials. In particular, we shall show that the Coriolis inertial forces are non-working forces.