Fletcher wrote: ↑Mon Dec 12, 2022 2:27 am
mryy wrote:<< Thus we read his statement "He's right! So am I, and does anyone see why?" Now if B. were to reveal the wheel's internal mechanism and explain it in terms of the riddle, the "people would say: 'Now I understand!' "
I believe that was the real point of the passage. That is, one pound causing the rise of more than one pound is a riddle of the prime movement.>>
In any OOB wheel build, whether it be one likes yours mryy, or MT13, or MT9 etc for example. They are designed to rotate and thus every weight and spoke (point mass) etc must return to the same geographical position once per rotation. IOW's they can not gain MORE GPE .. they can only hope to replenish original GPE each cycle. They are locked into an orbit path.
But my wheel isn't the typical "tethered" OOB build. It resets the center of gravity cog each time a free flying weight lands at 2:00. That makes a big difference I think. The wheel has a new cog to act upon multiple times per rotation. A build out will determine if my theory is correct.
So B. saying "that one pound can cause the raising of more than one pound" isn't that surprising. It's a well known fact. It's called Law of Levers, Leverage, sometimes Mechanical Advantage (MA). What isn't always appreciated is that it is a very real physical trade-off, a ratio, a percentage. A lesser effort / driver weight can lift a larger load weight but not as high as the driver must lose in GPE.
Mechanical Advantage (MA) x Speed Ratio (SR) = 1.0 (ideal with no friction losses etc) n.b. speed is distance over time.
Since GPE loss is interchangeable with KE gain over the same vertical height under gravity constant acceleration (Galileo's experiments) then W. is right.
But B's. wheels not only restored GPE each rotation but also gained in RKE i.e. gained in momentum. IOW's they couldn't break the Law of Levers either (W's. right), but still had the ability to gain speed and momentum / RKE (B's. excess-impetus, preponderance, W's. superior force ...... B's right as well).
IMO !
If that was the issue at hand, W. would not have remarked "that, to date, no one has ever found a mechanical arrangement sufficient for the required task." I'm sure W. knew what MA (Leverage) is but that was not what was being addressed.
I feel the context of the translated XXI passage makes more sense with my explanation of a riddle. Pay attention to the wording of these sentences:
"But did I not, in Part One, devote more than one line to a discussion of the type of 'excess impetus' that people should look for in my devices? Once more I will humbly extol the virtues of this passage to my next worthy reader. He writes that, to date, no one has ever found a mechanical arrangement sufficient for the required task. He's right! So am I, and does anyone see why? What if I were to teach the proper method of mechanical application? Then people would say: 'Now I understand!' ”
B. says "He's right!" with an exclamation mark. W.'s stance is the undeniable truth. B. soon follows with "So am I" as an affirmation that seems secondary/subordinate to the first. B. and W. are simultaneously right about the ability of mechanical arrangements. So how can this apparent paradox be? The answer is at the end when it elicits a reaction of "Now I understand!" with an exclamation mark -- implying a surprised, unexpected understanding. A riddle can do that.
IMO your explanation doesn't quite dovetail with the contextual information. You speak of prime mover and simple machines. These two are supposedly different entities and cannot produce responses of a paradoxical nature.