The point that they are making on page 5 of the paper is that the two forces acting on the object in the N2-NF misconception are equal when the object is in static equilibrium, but they are not Newton’s third law force pairs, and so do not have to be equal in every circumstance.
Under another circumstance, such as when the object is accelerating, the two forces can and will be different. In that case, the vector sum of the two forces would be equal to the rate of change of momentum of the object.
So if the the object is accelerating then the two forces must be different, or equivalently, if the two forces are different, then the object must be accelerating.
Fair point but in my examples as they are presented acceleration is not possible unless slip is allowed to occur and even then for case A if slip happens at right wheel (input wheel) then object of interest will still not move to the surface of the treadmill will be allowed to move.
And in case output wheel (left one) is allowed to slip then vehicle will accelerate in the same direction as F1 (to the left) so for some small amount of time F1 will be larger if the object has mass as that will be converted to kinetic energy but once the speed of the readmill is equal with the speed of the object the forces will again be opposite and equal.
None of the above explain what happens in the video I showed where vehicle moves in the opposite direction of the applied force so to the right.
People just assume that F2 can be larger than F1 based on the experimental result not understanding that you can not have force amplification with just two points of contact.
What actually happens should be easily spotted in the slow motion video
https://odysee.com/@dacustemp:8/wheel-cart-energy-storage-slow:8It is a combination of energy storage and stick slip hysteresis as the trigger for charge and discharge and not force amplification which is impossible in this case.
I don't even care if somebody ever heard of Newton. As long as they can understand why this vehicle moves the way it moves in the video and it is not due to force amplification or force multiplication witch is impossible in all 3 cases I used as examples.
Both case A and B can be modified so that F2 = 2 * F1 or whatever gear ratio is by connecting the now floating vehicle body to ground the blue part in case A and the cylinder body in case B. Then there are 3 connection points and F1 will no longer be relative to F2 (equal and opposite) but relative to the vehicle body and then F2 that can be multiple times larger will also be relative to the third point vehicle body and not relative to F1.
Forces can not exist in isolation they need to be relative to something and in my 3 examples as they are F1 is relative to F2 and can not exist independent of each other in an non accelerating reference frame.