How Do You Calculate Tension in a Cable Connected to Springs?

[aftershock]

Homework Statement

http://img163.imageshack.us/img163/7491/staticsk.jpg

Those weird squiqqles are supposed to represent springs. Not exactly an artist :D

Homework Equations

F = kx

The Attempt at a Solution

After drawing a fbd and breaking the tension into x and y components I got:

ΣF_y T(sinθ) =5

ΣF_x T(cosθ) = T(cosθ)

T = 5x since the force acting on the spring is T and k is given as 5.

I tried taking the given 4ft into consideration, I tried seeing if there was some substitution I could make to solve any of those equations. Been struggling for like an hour now...

 

[willem2]

If the tension in the spring is kx, then the length of the spring is x+4 ft, because there's no tension if the spring is 4 ft long.

Try to find another expression for sin(\theta) or cos(\theta) just from the goemetry.

 

[aftershock]

If the tension in the spring is kx, then the length of the spring is x+4 ft, because there's no tension if the spring is 4 ft long.

Try to find another expression for sin(\theta) or cos(\theta) just from the goemetry.

I should've been more clear. I used x to denote the amount the spring is stretched.. not the total length of the spring.

And I have been trying for a while now. The only thing I can manage to do is sin/cos to get tan but I haven't done that in anyway that helps me out.

 

[aftershock]

Anybody?

 

[willem2]

you get a right-angled triangle with corners middle of the block, one end of the block, attachment to the load