Find Forces Homework: Solve F1 & F2 Equations

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To solve for forces F1 and F2, use the two equations derived from the force balance in the x and y directions. The equations are Fx = F1 cos(45) + F2 cos(30) - 500N and Fy = F1 sin(45) - F2 sin(30). From the second equation, express F1 in terms of F2 using F1 = F2 * (sin(30)/sin(45)). Substitute this expression for F1 into the first equation to solve for F2. Once F2 is determined, substitute back to find F1, completing the solution.
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Homework Statement



I am given this
I got the equation

bikwo9.jpg




Homework Equations



Fx= 0 = F1 cos (45) + F2 Cos(30) - 500N
F1 .70 + F2 .86 - 500 N

Fy= 0 = F1 Sin (45) - F2 Sin(30)
F1(.70) - F2(.5)


The Attempt at a Solution



how can I find F1 & F2 to Solve
Please
Thank you

I don't know
am I suppose to use Fy equation to find F2 in FX ?
 
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d1343 said:
Fx= 0 = F1 cos (45) + F2 Cos(30) - 500N

Fy= 0 = F1 Sin (45) - F2 Sin(30)

Simply use the 2 equations that you have and solve.

You know already from the second equation that F1 = F2*(sin30/sin45)

Substitute in the first equation and solve ...
 

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