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No. 2356
[Edit]
>>2354
Ok after some thinking I think I understand this now. There are two main questions to address: why the top wheel counterintuitively spins anti-clockwise despite a force directed from left to right, and why the entire contraption moves to the right faster than the ruler.
The key thing to first observe is that the bottom two wheels aren't uniform in radius. They have an inner and an outer radius (due to the nature of the cotton spoon) which is perhaps more clearly seen in this diagram [1]. This already gives a hint of why it can move to the right faster than the applied force, due to a "gear ratio" effect. However, while the calculations are useful for verifying this quantitatively, it still doesn't give a good intuitive answer, nor does it explain why the top wheel spins anti-clockwise.
The best answer I've seen is courtesy of a post on reddit [2] which I'll quote here for completeness
> For the car to move right, the little wheels must turn clockwise, and the big wheel must turn counter-clockwise. This would give you the impression that the ruler must go left to turn the wheel counter-clockwise. That is true, relative to the car.
>Looking at the construction, one immediately suspects that the size of the wheels is somehow involved. But that isn't quite it. Actually, it is because the big wheel touches the ground wheels on an axle, not the part of the wheel that touches the ground. This creates a situation where the speed the outside of the little wheels move faster (in terms of linear velocity) than the outside of the big wheel.
>So, shifting out point of view to the car, you have a wheel to the ruler, and wheels to the ground, and the wheels are geared such that both surfaces move in the same direction, but the ground moves faster, relative to the car
>So imagine now that the car has a motor, and the ruler is just resting on top. As the car moves right, the ground moves left relative to the car. The ruler moves left relative to the car, but slower than the ground. That means the ruler moves to the right relative to the ground, i.e. the car slowly brings the ruler along behind it.
>If you move the ruler relative to the ground it has to obey the same property, it has to push the car faster than the ruler to obey the property that the ruler is slowly pulled behind the movement of the car.
That is, considering the difference betwen reference frame of the cart vs. the ground explains this phenomenon.
[1] http://web.cs.ucla.edu/~sahai/UnderFaster.pdf
[2] https://old.reddit.com/r/Physics/comments/4ngcqj/somebody_please_help_me_understand_this_i_just/
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