If the resultant force acting on the bracket is required to be a minimum, determine the magnitude of F1. Set Φ=31°
The Attempt at a Solution
First I tried to find ∑Fx and ∑Fy
Solving for F1, I got
And then to find the magnitude, I found the root of the sum of their squares
√(-384.06² + 279.99²)=479.335N
which was wrong.
A few things: I know the x-component can't be negative, it makes no sense, but I don't know what to change to make it positive. I also don't know what is implied by "required to be a minimum."