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
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**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 \( CD \).

\[
T_{CE} = \_\_\_\_\_\_\_
\]

\[
T_{CD} = \_\_\_\_\_\_\_
\]
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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