The arm in the figure below weighs 39.8 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force F exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) Ft = Fs = N 0.080 m Need Help? Read It -0.290 m-

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### Problem Statement

The arm in the figure below weighs **39.8 N**. The force of gravity acting on the arm acts through point **A**. Determine the magnitudes of the tension force (\(\vec{F_t}\)) in the deltoid muscle and the force (\(\vec{F_s}\)) exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.)

\[
\begin{align*}
F_t &= \_\_\_\_\_ \text{ N} \\
F_s &= \_\_\_\_\_ \text{ N} \\
\end{align*}
\]

### Diagram Explanation

The diagram shows an upper arm extended horizontally. The following forces and measurements are indicated:

- \(\vec{F_t}\): Tension force in the deltoid muscle, represented by an arrow pointing at an angle to the arm.
- \(\vec{F_s}\): Force exerted by the shoulder on the humerus, represented by an arrow pointing from the shoulder to the humerus.
- \(\vec{F_g}\): Force of gravity acting downward through point \(A\).
- The distances and angles in the diagram are:
  - A horizontal distance from the shoulder to point \(A\) of **0.290 m**.
  - A shorter horizontal distance from the shoulder vertically below where \(\vec{F_t}\) acts of **0.080 m**.
  - An angle \(\theta\) of **12°** between the horizontal arm and \(\vec{F_t}\).

### Additional Assistance

For more detailed help on this topic, you can click the **"Read It"** button to access further explanations and resources.

---

#### Need Help?

If you find this problem challenging, please do not hesitate to click the **"Need Help? Read It"** link for additional guidance and explanations.
Transcribed Image Text:### Problem Statement The arm in the figure below weighs **39.8 N**. The force of gravity acting on the arm acts through point **A**. Determine the magnitudes of the tension force (\(\vec{F_t}\)) in the deltoid muscle and the force (\(\vec{F_s}\)) exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) \[ \begin{align*} F_t &= \_\_\_\_\_ \text{ N} \\ F_s &= \_\_\_\_\_ \text{ N} \\ \end{align*} \] ### Diagram Explanation The diagram shows an upper arm extended horizontally. The following forces and measurements are indicated: - \(\vec{F_t}\): Tension force in the deltoid muscle, represented by an arrow pointing at an angle to the arm. - \(\vec{F_s}\): Force exerted by the shoulder on the humerus, represented by an arrow pointing from the shoulder to the humerus. - \(\vec{F_g}\): Force of gravity acting downward through point \(A\). - The distances and angles in the diagram are: - A horizontal distance from the shoulder to point \(A\) of **0.290 m**. - A shorter horizontal distance from the shoulder vertically below where \(\vec{F_t}\) acts of **0.080 m**. - An angle \(\theta\) of **12°** between the horizontal arm and \(\vec{F_t}\). ### Additional Assistance For more detailed help on this topic, you can click the **"Read It"** button to access further explanations and resources. --- #### Need Help? If you find this problem challenging, please do not hesitate to click the **"Need Help? Read It"** link for additional guidance and explanations.
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