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The point of the diagram is to make clear that the third law makes matched pairs of forces that act on different objects It is correct in the context of newtonian mechanics, because we assume then that point particles are described only by their mass, and symmetry and conservation of momentum of the system imply that the third law must apply for the case of a closed system, which the. Equilibrium from newton's first or second law is about the resultant force at a single object

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$\dagger$ (sorry that the finger doesn't actually touch the matchbox in the diagram. Newton's third law is not always correct, contrary to what you may have heard That proof is just circular reasoning hidden with a bad diagram

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If you label the masses 1, 2, and 3, it shows that the force of 1 on 2 has to be the opposite of the force of 3 on 2

The strong form of newton's third law requires that f and −f act along the line connecting a and b, while the weak form does not Illustrations of the weak form of newton's third law are often found for magnetic forces. In the second chapter, the authors discuss newton's laws of motion, and point out about the third law that we must hasten to add, however that the third law is not a general law of nature The law does apply when the force exerted by one (point) object on another (point) object is directed along the line connecting the objects.

Newtons third law is invalid for electrodynamics, look at griffiths introduction to electrodynamics 2) by newton's third law, if the rope is pulling on the block, the block must exert an equal and opposite force on the rope So, shouldn't the body not have any motion A similar question was asked here

With newton's third law, why are things capable of moving?.

1 newton's third law is about pairs of objects interacting The force that acts on one object is equal and opposite to the force acting on the other object So you can never have a third law pair acting on the same object. The third law states that to every action (force) there is an equal and opposite reaction

' [newton] referred to the investigations, using pendulums, into the rules of the congress and reflexion of hard bodies carried. If so, then are there other cases for which newton's 3rd law is not applicable?