   # Determine the tension in each of the three ropes supporting the 800-lb crate. ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607

#### Solutions

Chapter
Section ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 5, Problem 5.33P
Textbook Problem
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## Determine the tension in each of the three ropes supporting the 800-lb crate. To determine

Tension in each rope.

### Explanation of Solution

Given Information:

800-lb crate is supported by three ropes as shown in following figure:

Calculation:

Draw free body diagram of as shown in following figure:

Force vectors are,

TB=TB( 6 i ^ 6 j ^ 10.5 k ^ 6 2 + (6) 2 + (10.5) 2 )=TB(0.46i^0.46j^0.81k^)TC=TC( 6 i ^ 3 j ^ 10.5 k ^ (6) 2 + (3) 2 + (10.5) 2 )=TC(0.5i^0.25j^0.87k^)TD=TD( 2.4 i ^ +6 j ^ 10.5 k ^ 2.4 2 + (6) 2 + (10.5) 2 )=TD(0.2i^0.5j^0.87k^)W=800k^

Take equilibrium of forces as,

F=0TB+TC+TD+W=0TB(0

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