DYNAMICS
EAII_DSGNP_2.docx

Results figure 1 describes the effect of the moment

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Figure 1: Describes the effect of the moment about E with changing ? Conclusions The magnitude of the moment varies widely between 0 and 40 lb-ft between 0 and 90 degrees. This indicates that the machine in use to work the bicep is not the best machine for the workout Problem 2) Goal The objective of this part of the problem is to design a different workout machine that will stabilize the moment about the elbow, point E , creating a better workout for the bicep in question. Methods and Workings
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My modified system includes a pulley system with a fixed pulley A and a mass m with weight 50 lbs attached to the non-elastic cord. The location of the pulley A was moved to be along the same horizontal axis as the elbow. So if E was located at (0,0,0), then A is now located at (0,1,0). The workings are almost identical to Problem 1, except now the force along R AB is constant as the rope is non-elastic so the force no longer changes with length. So in MATLAB, the code is identical except for the new coordinates of A, and F is set to 50 lbs. The results are plotted below in Figure 2. Results Figure 2 : Describes the relation between moment and alpha in the new system Conclusions
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The goal of the new system was to make the moment more uniform throughout the range of motion as α increased from 0° to 90°. The new modifications change the range of the magnitude of moment between 0 and 4.5 lb-ft which is a significant change from the original design. Moving the location of point A to along the same horizontal axis as the elbow E, and changing the cord to a non-elastic one significantly reduces the range of the moment magnitudes.
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  • Spring '16
  • Force, Pulley, Simple machine, EBA

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