2. A 76.0-kg girl is being pulled away from a building as shown. Calculate the tension in the two ropes if the girl is suspended in static equilibrium

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**Problem Statement:**

A 76.0-kg girl is being pulled away from a building as shown. Calculate the tension in the two ropes if the girl is suspended in static equilibrium.

**Diagram Description:**

- The girl is suspended by two ropes: 
  - Rope 1 (T₁) is at an angle of 15° from the vertical, leading to the left side of the image towards the building.
  - Rope 2 (T₂) is at an angle of 10° from the horizontal, leading to the right side of the image towards a person positioned on a scaffold or platform.
  
- The forces acting include:
  - Tension T₁ in the rope connected to the building.
  - Tension T₂ in the rope connected to the person.
  - The weight of the girl (w), acting vertically downward.

**Instructions:**

Include the correct free-body diagram with your solution. 

When solving, consider the components of the tensions in both the vertical and horizontal directions and apply the conditions for static equilibrium.

Static equilibrium conditions:
- Sum of forces in horizontal direction = 0
- Sum of forces in vertical direction = 0

Use these principles to solve for the tension in the ropes.
Transcribed Image Text:**Problem Statement:** A 76.0-kg girl is being pulled away from a building as shown. Calculate the tension in the two ropes if the girl is suspended in static equilibrium. **Diagram Description:** - The girl is suspended by two ropes: - Rope 1 (T₁) is at an angle of 15° from the vertical, leading to the left side of the image towards the building. - Rope 2 (T₂) is at an angle of 10° from the horizontal, leading to the right side of the image towards a person positioned on a scaffold or platform. - The forces acting include: - Tension T₁ in the rope connected to the building. - Tension T₂ in the rope connected to the person. - The weight of the girl (w), acting vertically downward. **Instructions:** Include the correct free-body diagram with your solution. When solving, consider the components of the tensions in both the vertical and horizontal directions and apply the conditions for static equilibrium. Static equilibrium conditions: - Sum of forces in horizontal direction = 0 - Sum of forces in vertical direction = 0 Use these principles to solve for the tension in the ropes.
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