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Q 31E

Expert-verifiedFound in: Page 318

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**We analyzed the biceps muscle example with the angle between forearm and upper arm set at 90 ^{o}. Using the same numbers as in **

The force exerted by the biceps muscle is 407N.

The diagram for the biceps muscle is shown below:

The free body diagram is shown below:

As the force applied by the biceps muscle is perpendicular to the forearm, applying the condition of equilibrium under torque, we can write,

$\begin{array}{rcl}{F}_{B}{r}_{1}& =& \left({W}_{a}{r}_{2}+{W}_{b}{r}_{3}\right)\mathrm{cos}30\xb0\\ {F}_{B}& =& \left({W}_{a}\frac{{r}_{2}}{{r}_{1}}+{W}_{b}\frac{{r}_{3}}{{r}_{1}}\right)\mathrm{cos}30\xb0\\ & =& \left(2.5\times 9.8\times \frac{16}{4.0}+4\times 9.8\times \frac{38}{4.0}\right)\mathrm{cos}30\xb0\\ & =& 407\text{N}\end{array}$

Thus, the force exerted by the biceps muscle is 407 N.

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