Calculating Moment of Forces: Cartesian Vector Analysis for Column at Point A

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SUMMARY

The discussion focuses on calculating the moment of forces using Cartesian vector analysis for a column at point A. The forces involved are F1 = 400i + 300j + 120k, and the moment is calculated using the equation M_A = r x F (summation). The user attempts to sum the moments from different forces, specifically noting the contributions from r_B and r_{F3}. The final calculated moment is M_A = -1056k^2, indicating a need for careful consideration of the vectors involved.

PREREQUISITES
  • Understanding of Cartesian vector analysis
  • Familiarity with cross product calculations
  • Knowledge of moment of forces in physics
  • Ability to interpret vector notation and components
NEXT STEPS
  • Study the properties of the cross product in vector mathematics
  • Learn about calculating moments in static equilibrium
  • Explore the implications of vector direction in force analysis
  • Review examples of moment calculations in engineering mechanics
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and professionals involved in structural analysis or mechanics who require a solid understanding of force moments and vector calculations.

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I just realized this is in the wrong place..Move it to intro to physics please. Sorry

Homework Statement


Using Cartesian vector analysis determine the moment of the three forces about the base of the column at A. F1 =400i +300j+120k


Homework Equations



The [tex]x[/tex] represents "cross"..i don't know the latex for it

[tex]M_a = r x F[/tex] (summation)

The Attempt at a Solution



I keep getting the wrong answer and I think it has something to do with the point E. What does this have to do with anything?

What I am doing is summing all the forces crossed with their distances.

[tex]r_B={12k}N[/tex]
[tex]r_{F3}={0i-j+8k}N[/tex]

So [tex]M_A = (r_B x F_1) + (r_B x F_2) + (r_{F3} x F_3)[/tex]
 

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M_A = {12k x 400i} + {12k x 300j} + {0i-j+8k x 120k}M_A = 4800k x -300j + 1440i x 8kM_A = -1440k^2 + 384k^2M_A = -1056k^2
 

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