SACH-SAWCH
Centers of mass of each segment matter. The metronome rod length does not change when you move the weight up & down, but the period changes with the position of the sliding weight. The speed varies with the distance to center of mass, not the bar length. Interesting. The CoM lengths to pivot point, plotted are indeed even closer to the 1.618 ratio. The amplitude (wheel radius) & period (wheel revolution speed) have a Fibonacci progression. What is it about THAT ratio that is so compelling to nature? Two things (related). It is probably THE most reenter ant ratio. That is, when you scale up the thing it can self fit with the least shortage or extra waste than other ratios. Whatever rule or calculation or mechanism you used to operate the first set will work to run the second … & third & so on. Things generated tend to not tax the part that generated them. A computer model using Fibonacci weight distributions (aside from segment lengths) comes pretty close to actual human curve plots. Cool. But clinically, do we only see Fibonacci combinations to solve functional problems? NO! Beware of cute relationships. Fibonacci legs may look nice but not when half eaten by wolves. Energy conservation is a great general skill, but running very fast, able to jump a crevasse may be more likely to allow you to procreate your winning style. Nature does not put all our eggs in one basket. We won’t cover it, but walking in deep water has its own features. The very savvy therapists use that to get movement coordination otherwise hard to elicit or convey verbally. Speed runners hyper-flex the knee (heel on buttock). Why? It shortens the pendulum to assist a faster hip flexion delaying knee extension to the last moment. So much more. But, no. Time to move on.
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