Finding the resultant force, moment, and x-y coordinates

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To determine the resultant force, it is essential to calculate it as a vector, not merely its magnitude. This vector representation is crucial for accurately identifying the point of application of the force. Once the resultant force vector is established, the next step involves calculating the moments and the x-y coordinates. Understanding these components is vital for solving problems related to force systems effectively. Accurate vector analysis is key to finding the resultant force and its point of action.
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Homework Statement
I am trying to find help with finding the x any y coords of the resultant force, I have found the resultant force and moment but i think i may have run into problems finding the x and y coordinates. I know tha m_x' = sum Mx' but im unsure of the equation
Relevant Equations
M_x' = sum Mx', My'=sumMy'
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You have missed out a step. You need to find the resultant force as a vector, not just its magnitude, before you can find the point where it acts.
 
Thread 'Correct statement about size of wire to produce larger extension'

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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