Asked Feb 12, 2020

Tugboat towing a barge in figure has a tension of 100lb on each cable. What is the magnitude of the resultant force excerted by the tug? Add ther two force vectors to create a triangle and find the third side.

This uses Law of Cosines & Vectors

1000 lb
1000 lb

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1000 lb 1000 lb 500


Expert Answer

Step 1


Tension in both cables (T) = 1000 lb

angle between both cables θ = 50o

Step 2

vector diagram will be,

Physics homework question answer, step 2, image 1

the vectors are rearranged in manner so that the end of one vector meets tail of another vector.

Step 3

Angle between both vector will be = 180-50 = 130.

With the help of following cosine formula magnitude of c can be calculated.

Physics homework question answer, step 3, image 1


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