Solving Tension in 2 Strings - T2 & T3

[sonutulsiani]

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.

 

[Doc Al]

Consider the place where the cords meet. What forces act there? Hint: Consider horizontal and vertical components.

 

[rock.freak667]

Draw the direction of the tension of T2.

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

Now use equilibrium conditions

∑F_x=0 and ∑F_y=0

 

[sonutulsiani]

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?

 

[rock.freak667]

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.

 

[sonutulsiani]

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.

 

[rl.bhat]

y component of T2 = mg
x component of T2 = T3.

 

[sonutulsiani]

I still don't get it :(

 

[rl.bhat]

I still don't get it :(

Show your calculations.

 

[rock.freak667]

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.

http://hyperphysics.phy-astr.gsu.edu/HBASE/vect.html#vec5"

 

[sonutulsiani]

Ok I got the answer, is it T2=141N and T1=100N?

 

[rock.freak667]

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)

 

[sonutulsiani]

Ah, finally thank you people! Thanks a lot.