If the author reads this, since it's from 2020. The author appears to be currently investigating knot physics and drop tests.
However, the author does not "appear" to have the Luff Tackle variation. [1] I think it's close to the 6:1 variation on row two, except with the pulley directly attached to the ceiling.
The systematic approach seems to work, just appears to be missing a few combinations, or it was not really systematic. Such as, their should probably be a lot of pulley combinations that are basically "nothing", or "not helpful" combinations. 1:1, or 1/2:1, ect... combinations that just noted as discarded (or maybe curiosities that "might" have a use)
A 1:1 pulley is not "technically" significant from this perspective, yet it does change the force direction.
Pulleys are one of those things you never realize you need until you learn about them. Then, you suddenly understand just how useful they can be. Understanding the basics of rope rigging, pulleys, and mechanical advantage has made my life so much easier. Whether it's camping, hanging hammocks and tarps, using a pulley system to pull out tree stumps, securing things to my bike or pickup truck, or carrying a lot of gear at once, all of this becomes much simpler once you grasp the fundamentals of pulleys.
I honeslty think this should be taught in school, not just in physics classes, but as part of some kind of a "Life 101" course.
A differential hoist [0], while not really a pulley system, is a quite interesting simple machine, which can generate infinite mechanical advantage. It has two sprockets which are connected on the same shaft. A chain loops through both of them in opposite directions so that the other wheel is feeding and other is pulling, and the load moves only by the difference of the wheel diameters.
However, the author does not "appear" to have the Luff Tackle variation. [1] I think it's close to the 6:1 variation on row two, except with the pulley directly attached to the ceiling.
The systematic approach seems to work, just appears to be missing a few combinations, or it was not really systematic. Such as, their should probably be a lot of pulley combinations that are basically "nothing", or "not helpful" combinations. 1:1, or 1/2:1, ect... combinations that just noted as discarded (or maybe curiosities that "might" have a use)
A 1:1 pulley is not "technically" significant from this perspective, yet it does change the force direction.
[1] https://en.wikipedia.org/wiki/Pulley#Method_of_operation