...it means that the horse's traction force is transmitted to the stone by the rope, without changing.
This result is characteristic of a "weightless" wire or rope, and has already been tacitly admitted to discussion of Ex. 3.
So far we are only dealing with the dynamics of a particle (cf. p. 64), so that in the examples above, we treat each body as if it were a particle. In this treatment, it is not well defined at which point of each body the different forces are applied considered (because we are treating bodies as if they have negligible dimensions). Later, when we discuss particle systems, we will see that, with regard to the movement of a body as a whole, it is permissible to consider that the resulting force to which it it is subject if it is applied at a point, which is called the "center of mass" of that body.
It is interesting to note the role of friction furnaces in example 6. What would happen if the horse was on the road and the stone on a frozen lake? And if the situation invert? What if they were both on the surface of a frozen lake? It would be possible to displacement of the horse and stone forward in the absence of friction?
We arrived at Newton's 3rd law from the moment conservation principle, for the
special case of contact forces (p. 76). We will see later that, for forces that are not of contact, the 3. law may no longer apply. On the other hand, the principle of conservation of the moment, conveniently generalized, it always remains valid. This is why we prefer...