Unsolvable Force Components Problem

[Ryuk1990]

Homework Statement

I've got this physics problem where I'm working to find the magnitudes of two force components.

Homework Equations

F₁sin45 + F₂cos30 = 500 lbf

F₁sin45 - F₂sin30 = 0

The Attempt at a Solution

I've tried so many times by substituting F1 and F2 into both equations but I just can't seem to solve for them. Can someone guide me on how to solve this particular problem step by step because I have to solve a bunch of these.

 

[danago]

Can you show us exactly what you are doing to solve the system?

What you could do is re-arrange the second equation to get F₁ in terms of F₂ and then substitute it into the first equation.

 

[rock.freak667]

Homework Statement

I've got this physics problem where I'm working to find the magnitudes of two force components.

Homework Equations

F₁sin45 + F₂cos30 = 500 lbf...(1)

F₁sin45 - F₂sin30 = 0...(2)

Both equations 1 and 2 contain F₁sin45, you can just subtract equations 1 and 2, and get F₂, remember sin30°=1/2 and co30°=√3/2

 

[Jebus_Chris]

You can add, divide, subtract equations when dealing with systems.

 

[Ryuk1990]

Both equations 1 and 2 contain F₁sin45, you can just subtract equations 1 and 2, and get F₂, remember sin30°=1/2 and co30°=√3/2

Ok I did what you said, but I end up with this:

F₂(√3/2) + F₂(1/2) = 500

How do I get F₂ alone now?

 

[Aneeshrege]

(root 3 +1)F_2/2=500
1000/(root 3+1)=f_2

 

[Ryuk1990]

I got 577.35 for F2. Is that right?

 

[Aneeshrege]

no. its $$\frac{1000}{\sqrt{3}+1}$$