Question
Asked Oct 3, 2019
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The cable ABCD is held in the position shown by the horizontal force P.
Determine P and the force in each segment of the cable.

6.91 The cable ABCD is held in the position shown by the horizontal force P
Determine P and the force in each segment of the cable
1.0m
Зm
4mi
15kg
C
25 kg
Fig. P6.91
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6.91 The cable ABCD is held in the position shown by the horizontal force P Determine P and the force in each segment of the cable 1.0m Зm 4mi 15kg C 25 kg Fig. P6.91

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Expert Answer

Step 1

Show the free body diagram of joints C and D as in Figure (1).

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ТвА ИТСР ВА сD Тсв ТвC ВС w3 mg 3D 15 х 9.81 = 147.15 N W3 mg 3D 25 х 9.81 245.25 N

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Step 2

Determine the angle of members CB and CD using the relation;

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4 3 e=tan =18.43 ¢= tan =75.96°

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Step 3

Consider force towards right side and upward force as positive.

Apply Equation of equilibrium in...

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ΣΕ-0 TD COSφ-T,cos θ=0 Tο Cos(75.96") - T, Cos (1843") = 0 -(1) 0.243Tc0.947Tc 0... CD

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