During a storm, a tree limb breaks off and comes to rest across abarbed wire fen

Question

During a storm, a tree limb breaks off and comes to rest across abarbed wire fence at a point that is not in the middle between twofence posts. The limb exerts a downward force of 151 N on the wire.The left section of the wire makes an angle of 14 degrees relativeto the horizontal and sustains a tension of 447 N. Find themagnitude and direction of the tension that the right section ofthe wire sustains.
a. 447 N, 14 degrees
b. 418 N, 14 degrees
c. 432 N, 5.0 degrees
d. 424 N, 11 degrees
e. 436 N, 5.7 degrees

Explanation / Answer

The down ward force is equal to 151N so the upward force mustequal this as well.

You need to separate the side that you know into components

sin (14) * 447 = 108.14N = y-component of the left section ofthe wire.

That means the y-component of the right section must be 42.86N =151N-108.16N

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