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Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Understanding Force Equilibrium on a Pole

**Problem Statement:**
Determine the force \( F \) required to counteract the 600-pound tension so that the resultant force acts vertically down the pole. Use a scale where 1 inch represents 400 pounds.

**Diagram Description:**
The diagram illustrates a pole with two forces acting upon it, forming a symmetrical structure with an apex labeled as point \( O \). 

- The pole is positioned vertically along the \( Y \)-axis.
- A force labeled \( F \) is applied at an angle of 40° to the left, downward from the apex.
- A 600-pound tension force is applied at an angle of 40° to the right, downward from the apex.
- Both forces intersect the ground at the base of the pole, indicating potential pivot points.
- The apex of the pole is the point where the two forces converge, balancing vertically.

**Objective:**
Calculate \( F \) such that the forces are balanced vertically. Use the given scale for accurate calculation and conversion between physical representation and real-world application.
Transcribed Image Text:### Understanding Force Equilibrium on a Pole **Problem Statement:** Determine the force \( F \) required to counteract the 600-pound tension so that the resultant force acts vertically down the pole. Use a scale where 1 inch represents 400 pounds. **Diagram Description:** The diagram illustrates a pole with two forces acting upon it, forming a symmetrical structure with an apex labeled as point \( O \). - The pole is positioned vertically along the \( Y \)-axis. - A force labeled \( F \) is applied at an angle of 40° to the left, downward from the apex. - A 600-pound tension force is applied at an angle of 40° to the right, downward from the apex. - Both forces intersect the ground at the base of the pole, indicating potential pivot points. - The apex of the pole is the point where the two forces converge, balancing vertically. **Objective:** Calculate \( F \) such that the forces are balanced vertically. Use the given scale for accurate calculation and conversion between physical representation and real-world application.
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