# Statics - Balancing moment and resultant force

lax1113

## Homework Statement

Replace the force system with a resultant and specify where its line of action intersects AB from point B.

so I guess the imagine didn't work....
http://yfrog.com/htstaticspicp

I realize it is very small I apologize for that, if anything in the picture is unclear please let me know.

## Homework Equations

Fresultant = sum of Forces
Moment = sum of Moments

## The Attempt at a Solution

I have solved the components of the X and Y forces of each of the 3 forces and got a resultant of 542N and also got the angle of inclination of this resultant, as 10.6 degrees. However, I am not getting the right answer when I sum the moments. Since it wants where this would be along AB, I set up my moment equation as 533N (the y portion of F resultant) * y = {sum of all of the moments that are acting perpendicular to the line segment AB}. However, I am not getting the correct answer? Is this the right way to go about this problem?

Last edited by a moderator:

Hi lax1113! The moment of the couple is the same about any point, and you'll need to subtract it before you can find the line of the resultant (linear) force. 