Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 9.00 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.) N.m 12.0 N Need Help? eBook 30.0 Master It Additional Materials 10.0 N 9.00 N

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**Problem Statement:**

Find the net torque on the wheel in the figure below about the axle through \( O \) perpendicular to the page, taking \( a = 9.00 \, \text{cm} \) and \( b = 23.0 \, \text{cm} \). Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.

**Diagram Explanation:**

The diagram shows a wheel with an axle at point \( O \). Two forces are acting on the wheel:

1. A force of \( 10.0 \, \text{N} \) is applied to the right at the top of the wheel.
2. A force of \( 9.00 \, \text{N} \) is applied downward at the right side of the wheel.
3. A force of \( 12.0 \, \text{N} \) is applied downward at an angle of \( 30.0^\circ \) to the left.

The radius from \( O \) to the point of application for the \( 10.0 \, \text{N} \) force is \( a = 9.00 \, \text{cm} \), and the radius to the point of application for the other two forces is \( b = 23.0 \, \text{cm} \).

The image does not provide any calculated values or solutions, only the details and setup for the problem. The diagram contains arrows indicating the direction and point of application for each force vector. 

**Additional Resources:**

- Need Help? Master It
- Additional Materials: eBook

The aim is to calculate the net torque, taking counterclockwise as the positive direction, and enter the solution in the space provided as \( \text{} \, \text{N} \cdot \text{m} \).
Transcribed Image Text:**Problem Statement:** Find the net torque on the wheel in the figure below about the axle through \( O \) perpendicular to the page, taking \( a = 9.00 \, \text{cm} \) and \( b = 23.0 \, \text{cm} \). Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise. **Diagram Explanation:** The diagram shows a wheel with an axle at point \( O \). Two forces are acting on the wheel: 1. A force of \( 10.0 \, \text{N} \) is applied to the right at the top of the wheel. 2. A force of \( 9.00 \, \text{N} \) is applied downward at the right side of the wheel. 3. A force of \( 12.0 \, \text{N} \) is applied downward at an angle of \( 30.0^\circ \) to the left. The radius from \( O \) to the point of application for the \( 10.0 \, \text{N} \) force is \( a = 9.00 \, \text{cm} \), and the radius to the point of application for the other two forces is \( b = 23.0 \, \text{cm} \). The image does not provide any calculated values or solutions, only the details and setup for the problem. The diagram contains arrows indicating the direction and point of application for each force vector. **Additional Resources:** - Need Help? Master It - Additional Materials: eBook The aim is to calculate the net torque, taking counterclockwise as the positive direction, and enter the solution in the space provided as \( \text{} \, \text{N} \cdot \text{m} \).
Expert Solution
Step 1

Torque is given as Torque = force ×prependicular distance of point of application of force from axis of rotation.

 

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