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In theNewtonian model that
I and, I believe, many others use there are two types of force:
contact forces and action-at-a-distance force.
The former category include pushes and
pulls, the latter include gravitational, electrostatic and magnetic
forces.
I agree completely with William that there is no force, in the sense
of Newton's laws, between the hovering bird and the floor of the cage
just as there is no force between the two objects connected in an
Atwood's machine.