Determine the magnitude of the pin force at A. Assume W = 525 lb, a = 3.1 ft, b = 2.4 ft, r = 7 in. a C B A b W D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Section: Chapter Questions
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**Problem Statement:**

Determine the magnitude of the pin force at A.  
Assume \( W = 525 \, \text{lb} \), \( a = 3.1 \, \text{ft} \), \( b = 2.4 \, \text{ft} \), \( r = 7 \, \text{in} \).

**Diagram Explanation:**

The diagram depicts a static equilibrium problem involving a structural system. The system comprises several elements:

1. **Weight (W):** A weight of 525 lb is suspended from point C.
2. **Members:** 
   - Member BC is horizontal and extends from point C to B.
   - Member BA is also horizontal, extending from point B to A.
   - Member BD is inclined, connecting point B to D.
3. **Distances:**
   - The horizontal distances from C to B and B to A are each labeled as \( a = 3.1 \, \text{ft} \).
   - The vertical distance from D to the level line through C and A is labeled as \( b = 2.4 \, \text{ft} \).
4. **Radius (r):** At point C, a pulley or rotation point with radius \( r = 7 \, \text{in} \) is shown.

**Measurements:** 

- Lengths are given in feet and inches where applicable.
- The load direction is vertically downward due to gravity.

**Calculation Objective:**

Calculate the pin force at point A, considering the static equilibrium of the system. The answer field is indicated for the magnitude of the force (A) in pounds (lb).

**Answer Area:**

You can input your calculated force in the box labeled "Answer: A = [ ] lb".
Transcribed Image Text:**Problem Statement:** Determine the magnitude of the pin force at A. Assume \( W = 525 \, \text{lb} \), \( a = 3.1 \, \text{ft} \), \( b = 2.4 \, \text{ft} \), \( r = 7 \, \text{in} \). **Diagram Explanation:** The diagram depicts a static equilibrium problem involving a structural system. The system comprises several elements: 1. **Weight (W):** A weight of 525 lb is suspended from point C. 2. **Members:** - Member BC is horizontal and extends from point C to B. - Member BA is also horizontal, extending from point B to A. - Member BD is inclined, connecting point B to D. 3. **Distances:** - The horizontal distances from C to B and B to A are each labeled as \( a = 3.1 \, \text{ft} \). - The vertical distance from D to the level line through C and A is labeled as \( b = 2.4 \, \text{ft} \). 4. **Radius (r):** At point C, a pulley or rotation point with radius \( r = 7 \, \text{in} \) is shown. **Measurements:** - Lengths are given in feet and inches where applicable. - The load direction is vertically downward due to gravity. **Calculation Objective:** Calculate the pin force at point A, considering the static equilibrium of the system. The answer field is indicated for the magnitude of the force (A) in pounds (lb). **Answer Area:** You can input your calculated force in the box labeled "Answer: A = [ ] lb".
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