*4-116. Replace the three forces acting on the shaft by a single resultant force. Specify where the force acts, measured from end B. -5 ft 500 lb 5 3 -3 ft---2 ft ---- 4 ft 200 lb 12 13 5 260 lb B

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**Problem 4-116**

*Objective*: Replace the three forces acting on the shaft by a single resultant force. Specify where the force acts, measured from end \( B \).

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**Diagram Explanation**:

The diagram presents a straight horizontal shaft supported at both ends, labeled \( A \) and \( B \). Three forces are acting on the shaft:

1. **500 lb Force**: This force is applied at an angle to the left of \( A \). The vector components indicate a horizontal force of magnitude 5 and a vertical force of magnitude 3.
2. **200 lb Force**: This force is applied vertically downward at a point located 3 feet from the first force and 5 feet from point \( A \).
3. **260 lb Force**: This force is applied vertically downward at a point located 2 feet from the 200 lb force and 4 feet from point \( B \). The direction of components is shown with a horizontal distance of 5 and a vertical distance of 12.

**Distance Measurements**:
- Distance between \( A \) and the first force: 5 ft
- Distance from the first to the second force: 3 ft
- Distance from the second to the third force: 2 ft
- Distance from the third force to \( B \): 4 ft

The objective is to determine a single resultant force that has the same effect as these three forces, and specify its point of application with respect to end \( B \).
Transcribed Image Text:**Problem 4-116** *Objective*: Replace the three forces acting on the shaft by a single resultant force. Specify where the force acts, measured from end \( B \). --- **Diagram Explanation**: The diagram presents a straight horizontal shaft supported at both ends, labeled \( A \) and \( B \). Three forces are acting on the shaft: 1. **500 lb Force**: This force is applied at an angle to the left of \( A \). The vector components indicate a horizontal force of magnitude 5 and a vertical force of magnitude 3. 2. **200 lb Force**: This force is applied vertically downward at a point located 3 feet from the first force and 5 feet from point \( A \). 3. **260 lb Force**: This force is applied vertically downward at a point located 2 feet from the 200 lb force and 4 feet from point \( B \). The direction of components is shown with a horizontal distance of 5 and a vertical distance of 12. **Distance Measurements**: - Distance between \( A \) and the first force: 5 ft - Distance from the first to the second force: 3 ft - Distance from the second to the third force: 2 ft - Distance from the third force to \( B \): 4 ft The objective is to determine a single resultant force that has the same effect as these three forces, and specify its point of application with respect to end \( B \).
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