Question

Asked Feb 12, 2020

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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

Step 1

Given:

Tension in both cables *(T)* = 1000 lb

angle between both cables *θ* = 50^{o}.

Step 2

vector diagram will be,

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.

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