How to Calculate Tension Forces in a System?

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Homework Help Overview

The discussion revolves around calculating the tension forces in a system of strings, specifically in terms of angles, mass, and gravitational force. Participants are exploring the equilibrium of forces and the assumptions regarding tension in the strings.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to analyze the tension forces acting at rest points, questioning the validity of their assumption that two equal tension forces act in opposite directions. Some participants raise concerns about the completeness of this assumption, suggesting that additional forces from attached string segments should be considered.

Discussion Status

Participants are actively engaging with the assumptions made about the forces at play, particularly regarding the horizontal and vertical components of tension. There is a recognition that the net force must be zero at rest points, and some guidance has been offered regarding the relationship between the x-components of the tension forces.

Contextual Notes

There is an emphasis on understanding the forces acting at rest points and the need to consider both horizontal and vertical tensions in the analysis. The discussion reflects a collaborative effort to clarify the assumptions and definitions involved in the problem.

Akash47
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Homework Statement


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Find the tension in each section of string in terms of ##θ_1##,m and g.

Homework Equations


Equilibrium of force,dimensional analysis of force.

The Attempt at a Solution


The support points are at rest and in each points,there are two equal tension force acting in opposite direction(I have assumed that).Then the tension forces can be calculated easily.But is my assumption correct?If not,then how can I approach?
 

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Akash47 said:
The support points are at rest and in each points,there are two equal tension force acting in opposite direction(I have assumed that).
Not sure why you think only two forces act at the support points. (Each attached string segment exerts a force.) But at each point, the net force must be zero.
 
Don't forget the tension in the vertically hanging strings.
 
Doc Al said:
Don't forget the tension in the vertically hanging strings.
I haven't forget that.I was just saying that in each point,there are two forces acting in the 'X' axis by the two attached string and as the point is in rest,so this forces are same.And considering the vertical tensions,we can easily end up with the solution.Am I right?
 
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Akash47 said:
I haven't forget that.I was just saying that in each point,there are two forces acting in the 'X' axis by the two attached string and as the point is in rest,so this forces are same.And considering the vertical tensions,we can easily end up with the solution.Am I right?
Certainly the x-components of the tension forces at each point must be equal and opposite. If that's what you mean, then I agree.
 
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