   # Cable ABC of length 5 m supports the force W at B . Determine (a) the angles β 1 and β 2 ; and (b) the force in each cable segment in terms of W . ### 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 6, Problem 6.85P
Textbook Problem
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## Cable ABC of length 5 m supports the force W at B. Determine (a) the angles β 1 and β 2 ; and (b) the force in each cable segment in terms of W. To determine

(a)

The angles β1 and β2.

### Explanation of Solution

Given information:

Length of cable ABC is 5 m.

A force W is supported at point B.

Calculations:

From geometry

2cosβ1+3cosβ2=4........................(a)2sinβ13sinβ2=0.         sinβ2=23sinβ1....(b)

Substituting Eq. (b) in the trigonometric identity:

cosβ2=1 sin2β2 we getcosβ2=149 sin2β1=149( 1 cos 2 β 1 )=135+4 cos2β1

Substituting in Eq

To determine

(b)

The force in each cable segment in terms of W.

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