Figure 10 ft B 30 ft 15 ft 12.5 ft 10 ft. < 1 of 1 > 15 ft W Part B Determine the tension developed in cable AC. Express your answer in pounds to three significant figures. FAC = Submit ▼ Part C FAE = VE ΑΣΦ 11 vec Submit Request Answer Determine the force developed along the z axis of the antenna tower AE. Express your answer in pounds to three significant figures. 15] ΑΣΦ Request Answer ↓1 → vec ? ? lb lb

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Parts A, B, and C
### Problem Description

Cable \( AD \) in Figure 1 is tightened by a turnbuckle and develops a tension of 1500 lb.

### Diagram

The figure shows a three-dimensional setup with cables \( AB \) and \( AC \) extending from point \( A \). The points \( B \) and \( C \) are on the ground, with distances of 10 ft from their respective projections of point \( A \). The height from the ground to point \( A \) is 30 ft.

### Part A

**Task:** Determine the tension developed in cable \( AB \).

- **Instructions:** Express your answer in pounds to three significant figures.
- **Answer Input Box:** \( F_{AB} = \_\_\_\_ \text{ lb} \)

**Submit** | **Request Answer**

### Part B

**Task:** Determine the tension developed in cable \( AC \).

- **Instructions:** Express your answer in pounds to three significant figures.
- **Answer Input Box:** \( F_{AC} = \_\_\_\_ \text{ lb} \)

**Submit** | **Request Answer**
Transcribed Image Text:### Problem Description Cable \( AD \) in Figure 1 is tightened by a turnbuckle and develops a tension of 1500 lb. ### Diagram The figure shows a three-dimensional setup with cables \( AB \) and \( AC \) extending from point \( A \). The points \( B \) and \( C \) are on the ground, with distances of 10 ft from their respective projections of point \( A \). The height from the ground to point \( A \) is 30 ft. ### Part A **Task:** Determine the tension developed in cable \( AB \). - **Instructions:** Express your answer in pounds to three significant figures. - **Answer Input Box:** \( F_{AB} = \_\_\_\_ \text{ lb} \) **Submit** | **Request Answer** ### Part B **Task:** Determine the tension developed in cable \( AC \). - **Instructions:** Express your answer in pounds to three significant figures. - **Answer Input Box:** \( F_{AC} = \_\_\_\_ \text{ lb} \) **Submit** | **Request Answer**
### Educational Exercise: Analyzing Forces in Truss Structures

#### Part B

**Problem Statement:**

Determine the tension developed in cable \(AC\).

**Instructions:**

Express your answer in pounds to three significant figures.

**Answer Box:**

\(F_{AC} = \) [Enter your value] lb

*Submit* | *Request Answer*

---

#### Part C

**Problem Statement:**

Determine the force developed along the \(z\) axis of the antenna tower \(AE\).

**Instructions:**

Express your answer in pounds to three significant figures.

**Answer Box:**

\(F_{AE} = \) [Enter your value] lb

*Submit* | *Request Answer*

---

### Diagram Explanation

The figure illustrates a truss system with multiple cables and a vertical antenna tower, labeled as follows:

- **Point Labels:**
  - \(A\): Top of the tower
  - \(B\), \(C\), \(D\), \(E\): Base and surrounding anchor points

- **Measurements:**
  - The height of the tower (\(z\) axis) is 30 ft.
  - The base distances are given as follows:
    - \(B\) to \(E\): 15 ft along the \(x\) axis
    - \(C\) to \(E\): 10 ft along the negative \(y\) axis
    - \(D\) to \(E\): 15 ft along the \(x\) axis
    - \(E\) is positioned 12.5 ft from the origin along the \(x\) axis

This diagram is crucial for understanding the spatial configuration and solving for the forces in the structure accurately.
Transcribed Image Text:### Educational Exercise: Analyzing Forces in Truss Structures #### Part B **Problem Statement:** Determine the tension developed in cable \(AC\). **Instructions:** Express your answer in pounds to three significant figures. **Answer Box:** \(F_{AC} = \) [Enter your value] lb *Submit* | *Request Answer* --- #### Part C **Problem Statement:** Determine the force developed along the \(z\) axis of the antenna tower \(AE\). **Instructions:** Express your answer in pounds to three significant figures. **Answer Box:** \(F_{AE} = \) [Enter your value] lb *Submit* | *Request Answer* --- ### Diagram Explanation The figure illustrates a truss system with multiple cables and a vertical antenna tower, labeled as follows: - **Point Labels:** - \(A\): Top of the tower - \(B\), \(C\), \(D\), \(E\): Base and surrounding anchor points - **Measurements:** - The height of the tower (\(z\) axis) is 30 ft. - The base distances are given as follows: - \(B\) to \(E\): 15 ft along the \(x\) axis - \(C\) to \(E\): 10 ft along the negative \(y\) axis - \(D\) to \(E\): 15 ft along the \(x\) axis - \(E\) is positioned 12.5 ft from the origin along the \(x\) axis This diagram is crucial for understanding the spatial configuration and solving for the forces in the structure accurately.
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