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Calculating the range of value for which cables will remain taut.

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Determine the range of values of «P» for which both cables remain taut. Please see the attachment for a drawing of the solution.

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The expert calculates the range of values for which cables will remain taut.

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X component, N

Px= -P
Tbcx= Tbc*sin30°
Tacx= -Tac*sin30°

Y component, N

Tbcy= Tbc*cos30°
Tacy= Tac*cos30°

First equation:
Total of Fx=0=424,3+Tbc*sin30°-Tac*sin30°-P
Second equation:
Total of Fy=0=-424,3+Tbc*cos30°+Tac*cos30°

From second equation I ...

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