Balancing Moments: Solving for Distance in a Force System Resultant

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SUMMARY

The discussion centers on solving for distances in a force system resultant, specifically using the moment equation M = Fd. The user calculated the resultant force Fr as {-129i, -221j} N and the moment Mra as -354k Nm, confirming these values with the answer key. However, the user encountered issues when attempting to derive x and y distances from the moments, leading to incorrect results. The correct distances should be G(+2.23, +1.07, 3), indicating a misunderstanding of the relationship between moments and forces.

PREREQUISITES
  • Understanding of vector forces and moments in physics
  • Familiarity with the moment equation M = Fd
  • Knowledge of coordinate systems in three-dimensional space
  • Basic algebra for solving equations
NEXT STEPS
  • Review the principles of static equilibrium in force systems
  • Study the application of the moment equation M = Fd in various scenarios
  • Learn about vector decomposition in three-dimensional space
  • Practice problems involving balancing moments around different axes
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Students in physics or engineering courses, particularly those focusing on mechanics and statics, as well as professionals involved in structural analysis and design.

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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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