Choose the equation that best represents the net torque about the axle of the wheel shown in the figure. F2 F3 F1 Sign convention: CCW = positive. (A positive net torque would cause a counter-clockwise (CCW) rotational acceleration). (Reminder: The magnitude of a torque due to a force Fabout a pivot point is determined by r= IrzF=rFsind] O Tnet = aFj-bF + aF O Thet = aFi - bF.sin(o) + aF O None of these O Tnet=bF, - bF,+ aF

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**Title: Calculating Net Torque on a Wheel**

**Question:**
Choose the equation that best represents the net torque about the axle of the wheel shown in the figure.

**Diagram Explanation:**
The diagram shows a wheel with a central axle, depicted with concentric circles. There are three forces applied:
- \( F_1 \) is directed vertically downward at a distance \( a \) from the center.
- \( F_2 \) is applied at an angle \( \phi \) at a distance \( b \) from the center.
- \( F_3 \) is applied horizontally to the right at a distance \( a \) from the center.

**Sign Convention:**
CCW (counter-clockwise) is positive. A positive net torque causes counter-clockwise rotational acceleration.

**Torque Reminder:**
The magnitude of a torque \( \tau \) due to a force \( F \) about a pivot point is determined by:
\[ |\tau| = |rF| = rF\sin(\theta) \]

**Options:**
1. \( \tau_{\text{net}} = aF_1 - bF_2 + aF_3 \)
2. \( \tau_{\text{net}} = aF_1 - bF_2 \sin(\phi) + aF_3 \)
3. None of these
4. \( \tau_{\text{net}} = bF_1 - bF_2 + aF_3 \)

---

This page will be part of an educational resource on understanding and calculating torque in rotational systems. The question encourages the application of torque principles by selecting the correct equation from given options.
Transcribed Image Text:**Title: Calculating Net Torque on a Wheel** **Question:** Choose the equation that best represents the net torque about the axle of the wheel shown in the figure. **Diagram Explanation:** The diagram shows a wheel with a central axle, depicted with concentric circles. There are three forces applied: - \( F_1 \) is directed vertically downward at a distance \( a \) from the center. - \( F_2 \) is applied at an angle \( \phi \) at a distance \( b \) from the center. - \( F_3 \) is applied horizontally to the right at a distance \( a \) from the center. **Sign Convention:** CCW (counter-clockwise) is positive. A positive net torque causes counter-clockwise rotational acceleration. **Torque Reminder:** The magnitude of a torque \( \tau \) due to a force \( F \) about a pivot point is determined by: \[ |\tau| = |rF| = rF\sin(\theta) \] **Options:** 1. \( \tau_{\text{net}} = aF_1 - bF_2 + aF_3 \) 2. \( \tau_{\text{net}} = aF_1 - bF_2 \sin(\phi) + aF_3 \) 3. None of these 4. \( \tau_{\text{net}} = bF_1 - bF_2 + aF_3 \) --- This page will be part of an educational resource on understanding and calculating torque in rotational systems. The question encourages the application of torque principles by selecting the correct equation from given options.
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