5-2. The cable supports the loading shown. Determine the magnitude of the vertical force P so that yo = 10 ft. Prob. 5-2 -4 ft- 10 ft- 8 ft 5 ft B P 4 k D Ус
5-2. The cable supports the loading shown. Determine the magnitude of the vertical force P so that yo = 10 ft. Prob. 5-2 -4 ft- 10 ft- 8 ft 5 ft B P 4 k D Ус
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Problem 5–2: Cable Support Analysis
The diagram illustrates a cable supporting two vertical loads. The task is to determine the magnitude of vertical force \( P \) such that \( y_C = 10 \, \text{ft} \).
#### Diagram Details:
- **Supports**:
- Point \( A \) and \( D \) are the cable's supports on the horizontal surface.
- The distance from the horizontal surface to point \( A \): \( 5 \, \text{ft} \).
- The vertical distance from the horizontal surface to point \( D \) is labeled \( y_C \).
- **Distances**:
- Horizontal distance between point \( A \) and support of cable: \( 4 \, \text{ft} \).
- Horizontal distance from point \( A \) to point \( C \) is \( 10 \, \text{ft} \).
- Horizontal distance from point \( C \) to point \( D \) is \( 8 \, \text{ft} \).
- **Forces**:
- At point \( B \), directly below point \( A \), there is an unknown vertical force \( P \).
- At point \( C \), located between \( B \) and \( D \), there is a vertical force of \( 4 \, \text{kip} \) (4,000 lb).
### Objective:
The challenge is to calculate the force \( P \) such that point \( C \) remains \( 10 \, \text{ft} \) below the horizontal.
Use principles of static equilibrium and geometry to solve for \( P \). Consider tension in the cable and analyze forces vertically and horizontally for equilibrium.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb913e1-4986-4d74-b6ce-ad576ddf43d3%2F497b4e93-ccbf-4f7a-aca4-a998104f1f9e%2Fl4trz6_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 5–2: Cable Support Analysis
The diagram illustrates a cable supporting two vertical loads. The task is to determine the magnitude of vertical force \( P \) such that \( y_C = 10 \, \text{ft} \).
#### Diagram Details:
- **Supports**:
- Point \( A \) and \( D \) are the cable's supports on the horizontal surface.
- The distance from the horizontal surface to point \( A \): \( 5 \, \text{ft} \).
- The vertical distance from the horizontal surface to point \( D \) is labeled \( y_C \).
- **Distances**:
- Horizontal distance between point \( A \) and support of cable: \( 4 \, \text{ft} \).
- Horizontal distance from point \( A \) to point \( C \) is \( 10 \, \text{ft} \).
- Horizontal distance from point \( C \) to point \( D \) is \( 8 \, \text{ft} \).
- **Forces**:
- At point \( B \), directly below point \( A \), there is an unknown vertical force \( P \).
- At point \( C \), located between \( B \) and \( D \), there is a vertical force of \( 4 \, \text{kip} \) (4,000 lb).
### Objective:
The challenge is to calculate the force \( P \) such that point \( C \) remains \( 10 \, \text{ft} \) below the horizontal.
Use principles of static equilibrium and geometry to solve for \( P \). Consider tension in the cable and analyze forces vertically and horizontally for equilibrium.
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