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| Recursive Trucker's Hitch |
Title text: As if the americium smoke detector incident wasn't enough, now nuclear regulators have ANOTHER reason to worry about the Boy Scouts. |
Explanation
The comic depicts the supposed possibility of using the mechanical advantage of a "Recursive Trucker's Hitch", which is essentially a compound block and tackle system using only the rope, to generate sufficient pressure for atomic fusion. This would be impractical at best, due in part to the extreme speed at which the pulling end must move and the friction of rope-on-rope would be problematical.
A "trucker's hitch" is a knot typically used for securing a load. It provides a theoretical 3:1 mechanical advantage, ignoring friction. The comic shows this hitch being used repeatedly for a supposed mechanical advantage that scales exponentially with the number of layers. After many layers, it is tied to and around a pair of connectors that, when pulled together, will smoosh a small circular object labeled as a "fusion capsule". The conceit of the comic is that by doing so, one could produce sufficient pressure to ignite fusion by using just a simple rope.
Obviously, this would not work.
- the rope would break under the tension long before fusion-level pressure was produced, as would the connectors attached to the wall and plunger
- there would be too much friction in any practical setup to produce as much tension as would be theoretically feasible if we ignore friction
- to produce fusion-level pressure quickly enough to achieve fusion without the pellet being hopelessly deformed, the rope would need to be pulled out at impractically rapid speeds
- the friction produced from rapidly pulling the rope would ignite, melt, or vaporize the rope, depending on the materials and setting assumed
Some descriptions of the Trucker's Hitch require, for completeness, that the free end of the pulled knot be in turn tied to the exposed (non-knot) looped length, usually with two half-hitches. Whereas this compound knot seems to have no indicated intention to similarly tie off the whole structure in order to remain taut even when not being actively tended to.
The title text mentions the exploits of David Hahn who attempted to build a nuclear reactor using the americium-241 material sourced from ionization-type smoke detectors. Hahn was a member of the Boy Scouts of America at the time, and the Boy Scouts are also known for teaching how to tie many kinds of rope knots.
Transcript
- [A winch arm is shown (labelled 'Plunger'), with a small circle within it labelled 'Fusion Capsule' and a string attached to the arm and attaching to the base, which is then continually knotted in a block and tackle system until it reaches the end of the string, labelled as Fin.]
- [Below is a box within the panel shows the following equation:]
- Mechanical advantage = Fout/Fin = 1/3 * (2(2n+1) + 1) ≈ 2/3 * 4n
- [After the box, more text is shown, as follows:]
- MA(1) = 3:1
- MA(5) = 683:1
- MA(20) = 733,007,751,851:1
- MA(50) = 845,100,400,152,152,934,331,135,470,251:1
- [Caption below the panel:]
- The International Atomic Energy Agency regulates the recursive trucker's hitch, since the unlimited mechanical advantage it offers is powerful enough to ignite fusion.
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