Unsolvable Force Components Problem

In summary, the problem involves finding the magnitudes of two force components using equations with F1sin45 and F2cos30. The attempt at solving it involves substituting F1 and F2 into the equations, but the solution cannot be found. One suggestion is to rearrange the second equation to get F1 in terms of F2 and then substitute it into the first equation. Another suggestion is to subtract the two equations and use the values for sin30° and cos30° to solve for F2. However, the final solution for F2 is incorrect and should be \frac{1000}{\sqrt{3}+1} ≈ 288.68.
  • #1
Ryuk1990
158
0

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.
 
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  • #2
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.
 
  • #3
Ryuk1990 said:

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
 
  • #4
You can add, divide, subtract equations when dealing with systems.
 
  • #5
rock.freak667 said:
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?
 
  • #6
(root 3 +1)F_2/2=500
1000/(root 3+1)=f_2
 
  • #7
I got 577.35 for F2. Is that right?
 
  • #8
no. its [tex]\frac{1000}{\sqrt{3}+1}[/tex]
 

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