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Transcribed Image Text:### Net Torque Calculation
The body in the figure is pivoted at point O. Three forces act on it in the directions shown:
- \(F_A = 5.80 \, \text{N}\) at point A, which is 9.40 m from O.
- \(F_B = 15.0 \, \text{N}\) at point B, which is 4.80 m from O.
- \(F_C = 19.0 \, \text{N}\) at point C, which is 1.40 m from O.
We are to determine the net torque about point O, considering the clockwise direction as negative.
### Diagram Explanation:
The diagram displayed shows an irregularly shaped body pivoted at point O.
- Point A is on the body with a force \(F_A\) acting in a direction specified in the diagram.
- Point B is on the body with a force \(F_B\) acting in a different direction.
- Point C is on the body with a force \(F_C\) acting in yet another direction.
- Each force is shown with its respective angle and distance from O.
### Torque Calculation:
1. **Torque from \(F_A\) (Counterclockwise - positive direction):**
- \( \tau_A = F_A \times d_A \times \sin(\theta_A) \)
- \( d_A = 9.40 \, \text{m} \)
- Assume \(\theta_A\) is the angle given relative to the lever arm.
- Assume from diagram: \( \theta_A = 130^\circ \)
2. **Torque from \(F_B\) (Counterclockwise - positive direction):**
- \( \tau_B = F_B \times d_B \times \sin(\theta_B) \)
- \( d_B = 4.80 \, \text{m} \)
- Assume \(\theta_B\) is the angle given relative to the lever arm.
- Assume from diagram: \( \theta_B = 180^\circ - 60^\circ \) (120 degrees)
3. **Torque from \(F_C\) (Clockwise - negative direction):**
- \( \tau_C = F_C \times d_C \times \sin(\theta_C) \)
- \( d_C = 1.40 \, \text
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