Tension with two strings and angles

[Ckrueger11]

Can someone help me with this problem? I am stuck.

So far I have:net Force (x) = T1cos30 - T2cos(θ) = 0

net Force (y) = T1sin30 + T2sin(θ) - 120N - 400N = 0 From equation 1 ---> cosθ = (T1cos30)/T2I attached a picture of the problem.

Not sure my y-equation is correct

How do I find T1 & T2

 

[rock.freak667]

Split the two tensions into x and y components and then apply the laws for equilibrium:

∑F_x=0
∑F_y=0
∑M=0

 

[Ckrueger11]

I set the equations up and set them equal to zero but I don't know how to solve them for any of my unknowns.

 

[rock.freak667]

I set the equations up and set them equal to zero but I don't know how to solve them for any of my unknowns.

You have 2 equations with 3 unknowns, you need to take moments about a point to get a third equation.

 

[rwisz]

?Hello,

It seems like you are working on a problem involving tension with two strings and angles. It can be challenging to work through these types of problems, but with a systematic approach, you can find a solution.

First, let's define our variables. T1 and T2 represent the tensions in the two strings, and θ represents the angle between the strings. We can also define the forces acting on the strings. In the x-direction, we have T1cos30 and T2cosθ. In the y-direction, we have T1sin30, T2sinθ, and the downward forces of 120N and 400N.

Next, we can set up our equations using Newton's Second Law, which states that the net force in each direction must equal zero for equilibrium. In the x-direction, we have T1cos30 - T2cosθ = 0. In the y-direction, we have T1sin30 + T2sinθ - 120N - 400N = 0.

From here, we can rearrange the equations to solve for T1 and T2. In the x-direction, we can substitute cosθ = (T1cos30)/T2, giving us T1 = T2cosθ/cos30. In the y-direction, we can substitute sinθ = (T1sin30)/T2, giving us T2 = T1sin30/sinθ.

Finally, we can substitute these equations into our original equations and solve for T1 and T2. This will give us the tensions in the two strings.

I hope this helps you with your problem. Remember to always define your variables and use Newton's Second Law to set up your equations. Good luck!