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

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

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#### Solution Preview

N=Newton

T=Tension

X component, N

F=Force

Fx=600*cos45Â°

Px= -P

Tbcx= Tbc*sin30Â°

Tacx= -Tac*sin30Â°

Y component, N

Fy=-600*sin45Â°

Py=0

Tbcy= Tbc*cos30Â°

Tacy= Tac*cos30Â°

First equation:

Total of Fx=0=424,3+Tbc*sin30Â°-Tac*sin30Â°-P

Second equation:

Total of Fy=0=-424,3+Tbc*cos30Â°+Tac*cos30Â°

From second equation I ...

#### Solution Summary

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

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