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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1296bd5-8576-4c4a-a68a-ae374446bba9%2F8e23b231-21eb-4aed-9747-70dba043f40f%2Fp1l6jly_processed.jpeg&w=3840&q=75)
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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