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Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression. 14 m- 6 m 100 kg

Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression. 14 m- 6 m 100 kg

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**Transcription and Explanation for Educational Purposes** --- **Problem Statement:** Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression. --- **Diagram Explanation:** The diagram depicts a truss structure consisting of three members, labeled \( AC \), \( AB \), and \( BC \). - **Point A:** The left side of the truss is fixed to a wall at point A, 6 meters above the ground. - **Point B:** Member \( AB \) is a horizontal member that spans 14 meters to the right. - **Point C:** A diagonal member \( BC \) connects point B to the ground at point C. - **Load:** A 100 kg weight is hanging vertically from point B, creating a downward force due to gravity. **Trigonometry and Physics Concepts:** - The truss configuration forms a right triangle with \( AC \) as the vertical component and \( AB \) as the horizontal base. - The calculation of forces involves balancing tensions (positive values) and compressions (negative values) along the members.
Transcribed Image Text:**Transcription and Explanation for Educational Purposes** --- **Problem Statement:** Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression. --- **Diagram Explanation:** The diagram depicts a truss structure consisting of three members, labeled \( AC \), \( AB \), and \( BC \). - **Point A:** The left side of the truss is fixed to a wall at point A, 6 meters above the ground. - **Point B:** Member \( AB \) is a horizontal member that spans 14 meters to the right. - **Point C:** A diagonal member \( BC \) connects point B to the ground at point C. - **Load:** A 100 kg weight is hanging vertically from point B, creating a downward force due to gravity. **Trigonometry and Physics Concepts:** - The truss configuration forms a right triangle with \( AC \) as the vertical component and \( AB \) as the horizontal base. - The calculation of forces involves balancing tensions (positive values) and compressions (negative values) along the members.
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