Sunday, January 4, 2015

Week 13 Progress Report

This week we ran into some speed bumps with our project. When attempting to print the second half of the "doughnut" plastic model for the track, Max saw that the printing was all jumbled up. Plastic would print out haywired and linear rods would stick through the track. We were puzzled as to why these problems didn't arise with the first print, but Max solved this issue but reconfiguring the actual shape of the track on SketchUp into one that included much more hidden geometry. Now, the prints are huge successes; the track has just enough thickness and space for the neodymium ball to roll around fluidly. However, our "doughnut" shape may not be optimal after all; while walking around with it on the side of our knees, we noticed that the ball didn't really swing around as we had envisioned it would. Instead, the ball would just roll back and forth along the bottom of the track. We will see to this shape-issue later, as Max wants to get a start on testing this device for actual electric conductivity next week.
Allen reached out to two professors, Dr. Phillip Martin of the Department of Kinesiology at Iowa State university and Dr. Todd Royer of the Department of Kinesiology and Applied Physiology at the University of Deleware, to seek guidance regarding the calculation of the moment of inertia. What he got was far more than expected: a revsed vision of human walking entirely. Walking isn't one body of movement, but rather the compilation of several segments at work. Dr. Martin in particular provided Allen with some excellent resources in two chapters from Dr. David A. Winter's Biomechanics and Motor Control of Human Movement, 5th edition.  Instead of calculating the rotational kinetic energy (RKE) of the knee joint, Allen needs to calculate the RKE the entire leg ("leg"in this case is referred to as the lower shank, aka from the knee to the ankle). The moment of inertia is found by the formula: Ileg cm = [mleg  * (lengthleg * radius of gyrationleg)2]. The length of my lower shank is approximately .413m. Since my mass is 65.7709kg and the leg takes up roughly 4.65% of the body mass (based off Winter's findings), the mass of my leg is 3.06kg. Finally, the radius of gyration is a given ratio of 0.302, so after plugging in all these values into the formula above, the moment of inertia in my leg equates to roughly 0.0476kg*m^2. 

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