Resultant Couple and direction angle

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Homework Help Overview

The problem involves analyzing a bent bar subjected to multiple couples and forces, with the goal of determining the resultant couple's magnitude and direction angles. The scenario includes forces acting along different axes and requires understanding of vector components and their relationships to distances.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to break down the forces into components and relates them to distances, expressing uncertainty about how to do this effectively. Some participants question whether a visual aid would clarify the problem further.

Discussion Status

The discussion includes attempts to clarify the problem's complexity and the original poster's request for assistance with component analysis. There is a mention of a resolution by the original poster, indicating some level of understanding was achieved, but no explicit consensus or detailed methods were shared.

Contextual Notes

The original poster expresses urgency due to a deadline, which may influence the depth of exploration in the discussion. There is also a note about the potential difficulty in visualizing the problem without a proper drawing.

Bradracer18
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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.


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.



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,
Brad
 
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Is this problem understandable?? Or do I need to draw a pic? I didn't draw one on paint, because usually they are too small/blury to see.
 
can anyone help...this is due today. I think I can get it, if I can get some help on how to find the individual components...I'm not sure how to relate the forces, and the distances.
 
Figured it out...thanks for all, that attempted to solve it(I know, it was complicated to read). I even had 2 hrs to go...haha...Thanks again!
 

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