# 12 mABВ,34 mВ,25 mBW2Fig. P6.88, P6.896 m

Question
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Thecable of length 15m supports the forces W1 = W2 = W at B and C. (a) Derive the simultaneous equations for β1, β2, and β3. (b) Show that the solution to these equations is β1 = 41.0◦, β2 = 9.8◦, and β3 = 50.5◦. (c) Compute the force in each segment in terms of W.

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Step 1

Following is the given information:

The cable of length 15m supports the forces W1 = W2 = W at B and C.

Part (a).  Derive the simultaneous equations for β1, β2, and β3.

Part (b).  Show that the solution to these equations is β1 = 41.0◦, β2 = 9.8◦, and β3 = 50.5◦.

Part (c).  Compute the force in each segment in terms of W.

Step 2

Part A: Derive the simultaneous equations for β1, β2, and β3.

From the geometry  of the given figure first two equations will be deduced and third equation will be deduced from  the equation mentioned in the calculation

Step 3

Part B. Show that the solution of the equations derived in part (a) are  β1 = 41.0◦, β2 = 9.8◦, and β3 = 50.5◦.

Length of the cable is 15 m.

Forces at B and ...

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