How to Calculate Tension Forces in a System?

[Akash47]

Homework Statement

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?

 

[Doc Al]

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.

 

[Doc Al]

Don't forget the tension in the vertically hanging strings.

 

[Akash47]

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?

 

[Doc Al]

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.