Find Forces Homework: Solve F1 & F2 Equations

[d1343]

Homework Statement

I am given this
I got the equation

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 ?

 

[LowlyPion]

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 ...

 

[thomate1]

I would suggest approaching this problem by first reviewing the given equations and making sure they are correct. It appears that there may be some errors in the equations provided. For example, the Fy equation should have a negative sign in front of the F2 term. Once the equations are confirmed to be correct, I would recommend using a system of equations to solve for F1 and F2. This involves setting the equations equal to each other and solving for one variable in terms of the other. Then, using substitution, you can solve for the remaining variable. Alternatively, you can also use the Fx equation to solve for F1 and then plug that value into the Fy equation to solve for F2. It is important to carefully consider the units and make sure they are consistent throughout the calculations. If you are still having trouble, I would suggest seeking help from a teacher or tutor.