# Resultant Couple and direction angle

1. Homework Statement

Ok, I have 3 couples applied to a bent bar. The axis is with the z going up, y left and right, and the x basically out of the page(or kinda to the left a bit).

The pipe goes 28in to the right(on y axis), where the pic show a 100lb force pointing down from the +z direction, and a 125lb force keeps going along the y axis. The pipe then bends and runs parallel with the +x axis, and goes for 16in. A 150lb force from the +x direction points back into the pipe, and a 125lb force points at the pipe from the +y direction. This is also where point A is. The pipe then bends downward(-z) for 9in. At the end of the pipe, a 100lb force is applied towards the +z. A 150lb force is also applied at the end, in the +x direction.

Determine, the magnitude of the resultant couple C and the direction angles associated with the resultant couple vector. Then also determine the scalar component of the resultant couple C about line O(orgin)A.

I think I drew this out right.....you just have to draw as you read. Should go towards +y, then towards +x, then -z.

2. Homework Equations

I think I add the x,y,z components of the couple(C). Then I think I square each of them, add them together, all under a square root.

For the angles, I think I just take the cos-1 of each component/mag of C.

3. The Attempt at a Solution

I'm not sure how to find the components. I think I understand how to break them down(simple), but I don't really get how to relate the distance in there. If someone could do one that would be helpful(or explain it). I'm not sure where to take the total distance from I guess either.

Thank,