Balancing Moments: Solving for Distance in a Force System Resultant

AI Thread Summary
The discussion focuses on solving for distances in a force system resultant, specifically addressing the calculation of x and y distances from moments. The user correctly calculated the force resultant and moment but struggles with part b, believing that dividing the moment by the force should yield the correct distances. However, the derived distances do not match the expected values. Clarification is sought on the relationship between moments and forces, particularly whether the equation M = Fd applies in this context. The conversation emphasizes the need for accurate application of moment equilibrium principles to find the correct distances.
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Homework Statement


http://i.imgur.com/NcI8y.png?1

So i did A and got the answer of Fr to be {-129i, -221j} N
and the Mra = -354k Nm

which are right from the answer key

so now about part b I think I should balance all moment at the G point about z axis or something like that thus according to

M = Fd

shouldn't I be able to get the x & y distances by dividing Mr by Fr to yield d since moments just have to balance out
so i did
354/129 = y = 2.74
254/221 = x = 1.60
which aren't the right answers D: (supposed to be G(+2.23, + 1.07, 3)

heeelp D:
 
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shouldn't I be able to get the x & y distances by dividing Mr by Fr to yield d since moments just have to balance out
Well if Mr=d.Fr then yes. Is that the relationship?
 

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