# Static Equilibrium of a tree sapling

1. Dec 2, 2008

### Bones

1. The problem statement, all variables and given/known data

Three forces are applied to a tree sapling, as shown in the figure, to stabilize it. If vector F A = 380 N and vector F B = 260 N, find vector F C in magnitude and direction.
http://www.webassign.net/gianpse4/12-45.gif

2. Relevant equations

3. The attempt at a solution
I am not sure where to begin...Help!!

2. Dec 2, 2008

### fluidistic

Hint : To stabilize the tree, the sum of the three forces must be $$0N$$.

3. Dec 2, 2008

### Bones

Fa=380N
Fbsin(15)=67.29

380N-67.29=fcsinθ
312.71N=Fcsinθ

Fbcos(15)=Fccosθ

Fbcos(15)= 251.14

so Fccosθ=251.14

we now know Fcsinθ and Fccosθ