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## Homework Statement

The springs BA and BC each have a stiffness of 500N/m and an unstretched length of 3m. Determine the displacement

*d*of the cord from the wall when a force F = 175N is applied to the cord.

## Homework Equations

F=ks

ƩFx=0

ƩFy=0

## The Attempt at a Solution

This is as far as I got. I set out the sum of the forces in the x and y direction, assuming left is positive x and up is positive y. I don't know what to do from here with the information they have given me.

ƩFx=F-Tᴮᴬcosθ -Tᴮᶜcos(θ)=0

ƩFy=Tᴮᴬsinθ-Tᴮᶜsinθ=0

Tᴮᴬ=ks=500N/m * (l-3m)

Tᴮᶜ=ks=500N/m * (l-3m)

I'm not sure what to do when I don't have the angles or the stretched length. Attached is a drawing I made of the problem (excuse me for my messiness).