What is the net torque on the object shows below rotating about the point labeled O? (Give your answer in N m. The positive direction is counterclockwise) r₁ = 2.47 m r2 = 5.29 m 6.00 N 45.0° 15.0 N r2 4.00 N

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

What is the net torque on the object shown below when rotating about the point labeled \( O \)? (Give your answer in N·m. The positive direction is counterclockwise.)

- \( r_1 = 2.47 \, \text{m} \)
- \( r_2 = 5.29 \, \text{m} \)

**Diagram Explanation:**

The diagram depicts a circular object with three forces acting upon it:

1. **Force 1:** 6.00 N
   - Acts horizontally to the left at the outer edge of the object.
   - Represents a tangent to the circle at the top.

2. **Force 2:** 4.00 N
   - Acts vertically downward at the outer edge of the object.

3. **Force 3:** 15.0 N
   - Acts at a 45-degree angle downward and to the left, originating from a distance \( r_2 \) from the point \( O \).

The forces \( 4.00 \, \text{N} \) and \( 15.0 \, \text{N} \) are visually shown with arrows indicating their direction and application point. The angle between the 15.0 N force and the horizontal is specified as 45.0 degrees.

**Objective:**

Calculate the net torque about point \( O \) given the forces and distances provided, and indicate that counterclockwise is the positive torque direction.
Transcribed Image Text:**Problem Statement:** What is the net torque on the object shown below when rotating about the point labeled \( O \)? (Give your answer in N·m. The positive direction is counterclockwise.) - \( r_1 = 2.47 \, \text{m} \) - \( r_2 = 5.29 \, \text{m} \) **Diagram Explanation:** The diagram depicts a circular object with three forces acting upon it: 1. **Force 1:** 6.00 N - Acts horizontally to the left at the outer edge of the object. - Represents a tangent to the circle at the top. 2. **Force 2:** 4.00 N - Acts vertically downward at the outer edge of the object. 3. **Force 3:** 15.0 N - Acts at a 45-degree angle downward and to the left, originating from a distance \( r_2 \) from the point \( O \). The forces \( 4.00 \, \text{N} \) and \( 15.0 \, \text{N} \) are visually shown with arrows indicating their direction and application point. The angle between the 15.0 N force and the horizontal is specified as 45.0 degrees. **Objective:** Calculate the net torque about point \( O \) given the forces and distances provided, and indicate that counterclockwise is the positive torque direction.
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