d) (4 points) Sketch a picture to graphically add the two tension vectors produced by the tugboats so that the resultant tension applied to the barge is down the canal (in the +x direction). e) (4 points) In the picture above, if Tugboat A generates 4000lb tension in Line 1 and Tugboat C generates 6000lb tension in Line 2 with angle $\alpha$ = 19.5°, then calculate the magnitude of the resultant force using Law of Cosines.
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A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 5000 lbf directed along the axis of the barge, determine the tension in each of the ropes for ̑̑ = 45°. Find a trigonometric solution by applying the Triangle Rule for vector addition. With the magnitude and direction of the resultant known and the directions of the other two sides parallel to the ropes given, apply the Law of Sines to find the rope tensions.
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