If the resultant force of the two tugboats is 3kN, directed along the positive x axis, determine the

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If the resultant force of the two tugboats is 3kN, directed along the positive x axis, determine the required magnitude of force FB and its direction θ.
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Textbooks:
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Fundamentals of Engineering Thermodynamics 8th Edition (Wiley):
Moran, M. J., et. al., 2014, Fundamentals of Engineering Thermodynamics, 8th ed., Wiley, Hoboken, NJ.
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Engineering Mechanics Statics (Pearson):
Hibbeler, R. C. Engineering Mechanics Statics. Pearson Prentice Hall, Pearson Education, 2016.
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CORRECTION: Please note that at 4:22 I wrote down and said to ADD (2)(3)(1.615)cosθ.

This expression is SUBTRACTED, NOT ADDED.

Therefore, when you plug in (-2)(3)(1.615) into the denominator, you are automatically yielded with the final answer shown here, 38.26°.

I apologize for any confusion.

gr_engineering
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Hi! would this still be possible to solve if only FA and its angle were the only given?

SigninPurposes
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What if fa is unknown and fr is still known and u need fb to be minimum how do u make sure that fb has the minimum value ?

karimkemo