Help with applications of vector addition

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Homework Help Overview

The discussion revolves around a physics problem involving vector addition, specifically related to the tension in a chain supporting a sign. The scenario includes a sign weighing 98N suspended from a chain that is attached to a ceiling at points 3m apart, with the chain itself being 4m long.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the accuracy of their diagrams and calculations related to the angles formed by the chain and the ceiling. There is an exploration of the cosine rule to find angles and tensions in the chains.

Discussion Status

Some participants have identified mistakes in their calculations and have expressed gratitude for the assistance received. There seems to be a progression towards understanding the problem, with some participants confirming their findings and calculations.

Contextual Notes

There is mention of discrepancies between participants' calculated angles and those suggested by peers, indicating potential confusion or misinterpretation of the problem setup. The problem involves assumptions about the geometry of the setup and the application of trigonometric principles.

diana7
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I can't seem to draw this diagram.
A sign weighing 98N is suspended from the middle of a 4m long chain. The ends of the chain are attached to a ceiling at points 3m apart. Okay so i drew a diagram with a horizontal that is 3m and the chain hanging from each side is 2m long and the object is 98N. I'm not sure if its right because I'm not getting the answer that the textbook gives. And the question is to determine the tensions in the chains.
Your help is greatly appreciated.
 
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diana7 said:
I can't seem to draw this diagram.
A sign weighing 98N is suspended from the middle of a 4m long chain. The ends of the chain are attached to a ceiling at points 3m apart. Okay so i drew a diagram with a horizontal that is 3m and the chain hanging from each side is 2m long and the object is 98N. I'm not sure if its right because I'm not getting the answer that the textbook gives. And the question is to determine the tensions in the chains.
Your help is greatly appreciated.

What angle did you get between each part of the chain and the ceiling to which the two ends of the chain are attached?
 
I got 97 degrees, but it's not right. My friend told me that it is 41.41 degrees.
i did cosx = (2^2+2^2-3^2)/(2*2*2)
that I used the cos-1 to find the degree
 
I think i got it. i found my mistake! Thanks
 
diana7 said:
I think i got it. i found my mistake! Thanks

So you know how to do the whole thing now?
 
yupp. i had to divide 97.18 by 2 = 48.59
then I find hte angle since its a right angle triangle now. 90-48.59 = 41.41
then i know that the tension has to balance
so tsin41.41 + tsin41.41 = 98
2tsin41.41 = 98
t = 98 / (2sin41.41)
and i got the answer :) thanks for making me catch my mistake lol
 

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