W₁ 80° W₂ Two loads W₁ = 95 lbs, and W₂ = 100 lbs are suspended from a system of cables as shown. Determine the tensions in the cables. First Particle Draw a free body diagram of point A and apply the equations of equilibrium to determine the tensions in cables AB and AC. TAB = TAC = Second Particle Draw a free body diagram of point D and apply the equations of equilibrium to determine the tensions in cables CE and CD. TCE= TCD=
W₁ 80° W₂ Two loads W₁ = 95 lbs, and W₂ = 100 lbs are suspended from a system of cables as shown. Determine the tensions in the cables. First Particle Draw a free body diagram of point A and apply the equations of equilibrium to determine the tensions in cables AB and AC. TAB = TAC = Second Particle Draw a free body diagram of point D and apply the equations of equilibrium to determine the tensions in cables CE and CD. TCE= TCD=
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![**Diagram Explanation:**
The diagram presents a system of cables supporting two loads, \( W_1 = 95 \text{ lbs} \) and \( W_2 = 100 \text{ lbs} \). The cables create an interconnected setup with angles at specific points:
- Cable \( AB \) forms a 30° angle with the horizontal.
- Cable \( CE \) makes a 55° angle with the horizontal.
- The angle between cables \( AC \) and \( CD \) is 80°.
**Problem Statement:**
Determine the tensions in the cables.
**First Particle:**
Draw a free body diagram of point \( A \) and apply the equations of equilibrium to find the tensions in cables \( AB \) and \( AC \).
\[
T_{AB} = \_\_\_\_\_\_\_
\]
\[
T_{AC} = \_\_\_\_\_\_\_
\]
**Second Particle:**
Draw a free body diagram of point \( D \) and apply the equations of equilibrium to find the tensions in cables \( CE \) and \( CD \).
\[
T_{CE} = \_\_\_\_\_\_\_
\]
\[
T_{CD} = \_\_\_\_\_\_\_
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F799db758-6264-477e-875f-1cfecc426da7%2F15f00ddd-d8eb-490e-8eb6-1e768405f754%2Fotfliir_processed.png&w=3840&q=75)
Transcribed Image Text:**Diagram Explanation:**
The diagram presents a system of cables supporting two loads, \( W_1 = 95 \text{ lbs} \) and \( W_2 = 100 \text{ lbs} \). The cables create an interconnected setup with angles at specific points:
- Cable \( AB \) forms a 30° angle with the horizontal.
- Cable \( CE \) makes a 55° angle with the horizontal.
- The angle between cables \( AC \) and \( CD \) is 80°.
**Problem Statement:**
Determine the tensions in the cables.
**First Particle:**
Draw a free body diagram of point \( A \) and apply the equations of equilibrium to find the tensions in cables \( AB \) and \( AC \).
\[
T_{AB} = \_\_\_\_\_\_\_
\]
\[
T_{AC} = \_\_\_\_\_\_\_
\]
**Second Particle:**
Draw a free body diagram of point \( D \) and apply the equations of equilibrium to find the tensions in cables \( CE \) and \( CD \).
\[
T_{CE} = \_\_\_\_\_\_\_
\]
\[
T_{CD} = \_\_\_\_\_\_\_
\]
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