Solving Tension in 2 Strings - T2 & T3

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Homework Help Overview

The problem involves analyzing a system of cords supporting a 100-N body, specifically focusing on determining the tensions in two cords, T2 and T3, with one cord being tilted and the other horizontal.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to consider horizontal and vertical components of the forces at the junction of the cords. There is an emphasis on using equilibrium conditions to analyze the system.

Discussion Status

Some participants have provided hints about splitting the tension into components and using equilibrium equations. However, confusion remains regarding how to handle the components of T3, which is positioned at a 90-degree angle. Multiple interpretations of the problem are being explored, and guidance has been offered without reaching a consensus.

Contextual Notes

Participants express uncertainty about the calculations and the specific requirements for rounding answers. There is also a mention of a link to additional resources for vector analysis.

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Homework Statement



A 100-N body is shown suspended from a system of cords.

http://bcs.whfreeman.com/WebPub/Physics/tiplerphysics6e_bridge/question_bank_images/4-50A.png?2417

1. What is the tension (T2) in the tilted cord? Round your answer to three significant figures.

2. What is the tension (T3) in the horizontal cord? Round your answer to three significant figures.

Homework Equations



F=ma

The Attempt at a Solution



I can't figure out how to solve the T3 part, I mean I have never dealt with a 90 degree string question.
 
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Consider the place where the cords meet. What forces act there? Hint: Consider horizontal and vertical components.
 
Draw the direction of the tension of T2.

Split T2 into vertical and horizontal components. (T3 is purely horizontal)

Now use equilibrium conditions

∑Fx=0 and ∑Fy=0
 
I know that I have to split into x and y-components but I don't know how to split up T3 because it's at 90 degree angle. What will be it's x and y-component?
 
sonutulsiani said:
I know that I have to split into x and y-components but I don't know how to split up T3 because it's at 90 degree angle. What will be it's x and y-component?

you don't need to split T3 into components. T3 is already in the x direction.
 
So how do I proceed after finding x and y components of T2 and T3? I mean how will the equation be? I am totally confused.
 
y component of T2 = mg
x component of T2 = T3.
 
I still don't get it :(
 
sonutulsiani said:
I still don't get it :(
Show your calculations.
 
  • #11
Ok I got the answer, is it T2=141N and T1=100N?
 
  • #12
sonutulsiani said:
Ok I got the answer, is it T2=141N and T1=100N?

that should be correct (I don't know how many decimal places you wanted the answer to)
 
  • #13
Ah, finally thank you people! Thanks a lot.
 

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