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Prosthetic Arm Force Reducer Team 1 – Halliday's ... - Ohio University

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Figure 6.1.4 <strong>–</strong> Input <strong>Force</strong> FBD<br />

The interior angle between Fc and Fc’ is equal to Ѳ. Therefore, both the resolved force, and<br />

subsequent torque can be determined easily:<br />

(user induced torque)<br />

Figure 6.1.5 shows the components necessary to resolve the force due to the rubber band.<br />

Figure 6.1.5 <strong>–</strong>Rubber Band FBD<br />

Please note that the rubber band force (Fr) will increase as a function increasing Ѳ. Therefore,<br />

Fr must be defined functionally:<br />

For this equation, “Fro” is equal to the rubber band force at Ѳ =0 (which is equivalent to the “Fr”<br />

from Figure 6.1.1). Also, “x” is equal to the amount of additional elongation the rubber band<br />

(5)<br />

(6)<br />

(7)<br />

(8)<br />

25

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