Solve Simple Loading System: Express Resultant Force in i & j

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Discussion Overview

The discussion revolves around a homework problem involving the expression of a resultant force in terms of unit vectors i and j for a simple loading system on a beam. Participants explore how to represent forces and moments in vector form, particularly focusing on the correct notation and components.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant notes that the resultant force lies at the 2-meter mark with a value of 6.25 kN.
  • Another participant suggests moving a load to the centroid results in a force at that point and a resulting moment, specifically mentioning a clockwise moment of 6.25 kNm when moving a 2.5 kN load.
  • There is confusion about how to express the resultant force using unit vectors, with one participant asserting that the 6.25 should be in the j direction.
  • Another participant expresses uncertainty about the correctness of the answer j(6.25) kN.
  • Some participants discuss the need to include an i component, suggesting a representation like 0i - 6.25j.
  • One participant mentions issues with their answers being rejected, prompting others to suggest checking the format of the input.

Areas of Agreement / Disagreement

There is no clear consensus on the correct expression of the resultant force in unit vector notation, with multiple competing views on how to represent the force and whether an i component is necessary.

Contextual Notes

Participants express uncertainty regarding the notation and formatting required for their answers, indicating potential limitations in understanding the problem's requirements.

Lmck33
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Homework Statement



The question is fairly easy, however the way they want the answer displayed is doing my head in.. Anyways the questions states

"replace the loading system by an equivalent resultant force (express your answer in terms of the unit vectors i and j)"

The question is a simple beam with forces along different sections, refer to the image I've uploaded to see what I'm talking about.




The Attempt at a Solution



I know that the resultant Force lies along the beam at the 2metre mark and the force at this particular point, is 6.25kN I believe...

Any help is greatly apprechiated, I'm a little new to the whole vector thing, so forgive me. Thanks in advance

Lmck33
 

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Well if you move a load to the centroid, you get the force at the centroid and a resulting moment.

So if you move the 2.5kN to the 2m mark, you will get a clockwise moment of 6.25kNm.

Understand?

But I too am not sure about how they want the answer expressed. (with respect to the i component that is)
 
Hi thanks for the reply, I understand that if I move 2.5kN to the 2m mark, I will get a clockwise moment of 6.25kNm. However the question asks me to "Express my answer using the unit vectors i and j" How would I express 6.25kNm into its appropriate unit vectors?
 
The 6.25 is in the j direction
 
Ah Thank you so much. The answer was j(6.25) kN. Life savers :D
 
what was the answer to this question? j(6.25) doesn't seem right to me
 
the answer to this was Fr = vector J (-6.25)kN.
 
didn't u need to express a value for i? like 0i-6.25j?
 
I suppose you could... Are you doing the same question in mastering engineering or mastering physics?
 
  • #10
mastering engineering
 
  • #11
all my answers are getting rejected for some reason, is there something I'm missing? :S
 
Last edited:
  • #12
Have a look at that attached image of mine... Maybe that can help you.
 

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  • #13
Nvm i got it, was entering unit wrong.
 
Last edited:
  • #14
hahah no worries man, should of mentioned that you needed to select the vector button :S. Module 3 is looking fun ay :D
 

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