Engineering Homework Help: Forces & Coordinate Direction Angles

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The discussion centers on a first-year engineering homework question involving two forces, F1 and F2, with a resultant force Fr of 100 lb. The poster seeks clarification on how to determine the magnitude and coordinate direction angles of F2, specifically using the SOHCAHTOA method for calculating angles. Participants express confusion over the clarity of the problem's diagram, particularly regarding the labeling of angles and the representation of vectors. There is also a concern about the accuracy of the resultant force value, as F1 is only 60 lb. Clear labeling and a better representation of angles in the diagram are suggested for improved understanding.
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okay I am sure this will be easy for many of you, this is a first year engineering course question. help appreciated its due tom orow:O


* the two forces, f1 and f2 acting at a have a resultant force of fr = {100k} lb. Determine the magnitude and coordinate direction angles of the force f2 and indicate them on the figure.

ill attach the problem picture
 

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oh yeah. i forgot to mention i don't need the answer or any drawings i just need the forumla to go about it as in the the three different forces calulated with the sohcahtoa methd. I am justa bit confused about the angles
 
I think you need a better picture, as you don't indicate the direction of Fr and are you sure about the 100,000 resultant force? F1 is only 60.
 
Your drawing is not clear. Could you but some labels on it as to the meaning of each vector. Also be sure that you are representing your angles correctly. I do not understand the angle you have labeled 30D.
 
the 30D is the angle given for a random line so that mens this line is making an angle of 30 degrees with the negative x-axis and F1 is making an angle of 50 degrees with this line.. can u do it now please?
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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