**CEE 241: Statics** University of Nevada, Las Vegas *Image copyright © Pearson Education, Inc. Shared with current students using accompanying text by the instructor solely for the purpose of teaching the course and assessing student learning. You should not distribute this document to anyone.*---**Problem Statement:**The lamp weighs 15 lbₒ. Find the tension in each cord, and θ.**Diagram Explanation:**The diagram shows a system with a lamp suspended from a network of cords. Points E and D are at the walls, points A, B, and C are where the cords intersect, and the lamp hangs at point A. The cords are making angles with the walls as follows:- Cord EA makes a 30° angle with the vertical wall.- Cord BD is horizontal.The angles and tensions in the cords are determined by the equilibrium of the system:- Tension in EA: T_AB- Tension in AC: T_AC- Tension in BE: T_BE- Tension in CD: T_CD**Solution:****Answer:**- \( T_{AB} = 11.0 \, \text{lbf} \)- \( T_{AC} = 7.76 \, \text{lbf} \)- \( T_{BC} = 11.0 \, \text{lbf} \)- \( T_{BE} = 19.0 \, \text{lbf} \)- \( T_{CD} = 17.4 \, \text{lbf} \)- \( \theta = 18.4^\circ \)The tensions are a result of balancing forces in the cords due to the weight of the lamp, ensuring equilibrium in the system.

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Given:- We have given that the weight of the lamp is mg = 15lbf The lamp is substandard by the…

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CEE 241: Statics University of Nevada, Las Vegas Image copyright © Pearson Education, Inc. Shared with current students using accompanying text by the instructor solely for the purpose of teaching the course and assessing student learning. You should not distribute this document to anyone. The lamp weighs 15 lbf. Find the tension in each cord, and 8. E Answer: TAB=11.0 lbf TAC = 7.76 lbf Tac=11.0 lbf THE 19.0 lbf TCD= 17.4 lbf 0= 18.4° 30° B 60⁰° A

CEE 241: Statics University of Nevada, Las Vegas Image copyright © Pearson Education, Inc. Shared with current students using accompanying text by the instructor solely for the purpose of teaching the course and assessing student learning. You should not distribute this document to anyone. The lamp weighs 15 lbf. Find the tension in each cord, and 8. E Answer: TAB=11.0 lbf TAC = 7.76 lbf Tac=11.0 lbf THE 19.0 lbf TCD= 17.4 lbf 0= 18.4° 30° B 60⁰° A

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**CEE 241: Statics**
University of Nevada, Las Vegas

*Image copyright © Pearson Education, Inc. Shared with current students using accompanying text by the instructor solely for the purpose of teaching the course and assessing student learning. You should not distribute this document to anyone.*

---

**Problem Statement:**

The lamp weighs 15 lbₒ. Find the tension in each cord, and θ.

**Diagram Explanation:**

The diagram shows a system with a lamp suspended from a network of cords. Points E and D are at the walls, points A, B, and C are where the cords intersect, and the lamp hangs at point A. The cords are making angles with the walls as follows:

- Cord EA makes a 30° angle with the vertical wall.
- Cord BD is horizontal.

The angles and tensions in the cords are determined by the equilibrium of the system:

- Tension in EA: T_AB
- Tension in AC: T_AC
- Tension in BE: T_BE
- Tension in CD: T_CD

**Solution:**

**Answer:**

- \( T_{AB} = 11.0 \, \text{lbf} \)
- \( T_{AC} = 7.76 \, \text{lbf} \)
- \( T_{BC} = 11.0 \, \text{lbf} \)
- \( T_{BE} = 19.0 \, \text{lbf} \)
- \( T_{CD} = 17.4 \, \text{lbf} \)
- \( \theta = 18.4^\circ \)

The tensions are a result of balancing forces in the cords due to the weight of the lamp, ensuring equilibrium in the system.

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