Question

An electric pole shown in the figure below supports a power line that passes through it. A cable tied to the pole at B passes through a hole in the struct at C and is then tied to the ground at B. There is no friction between the struct and cable. What is the force exerted by the cable onto the pole at B, if the tension in the cable is 47lb.

Answer 1

We have that The force exerted by the cable at point B on the pole is

$T_1=60.189ib$

From the Diagram

We can see that A,B.C is the area showing the circumference of a cable(power line)

$\sum F_y=0$

$T_1sin51.34=47$

Generally the equation for the Tension  is mathematically given as

$T_1=60.189ib$

In conclusion

The force exerted by the cable at point B on the pole is

$T_1=60.189ib$

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