Need help determining force behind certain vectors

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    Force Vectors
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To determine the forces in vectors AB, CD, BE, and BC, Newton's Laws can be applied as a foundational approach. Utilizing the sine rule is recommended since the system is in equilibrium, allowing for the calculation of forces based on the angles and side lengths. A free body diagram (FBD) of the weight with the two cables removed will aid in visualizing the forces at play. Summing the forces in both horizontal and vertical directions will help isolate the force in each cable. This methodical approach will yield the necessary force calculations.
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Are you planning on using Newton's Laws? They can give you a start.
 
You can also use the sine rule since the system is in equilibrium. sina/a=sinb/b=sinc/c where a,b,c are the lengths of the sides and the sina/b/c represent the sine of the angle opposite the side a/b/c.
 
Make a FBD of the weight with the 2 cables cut. Sum forces in the horiz and vert directions to get the force in each cable.
 
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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