I am given a tool that needs to be balanced in the horizontal position with a spring of my design. I need to know the force that the spring will need to exert in order to do this. I am also choosing the mount point, which will be at 10 in.
Fsy = veritical component of spring force
Fsx = horizontal component of spring force
Ft = force of 5 lb tool
The Attempt at a Solution
ΣFy = 0 = Fsy - 5 ⇒ Fsy = 5 lb
ΣMtool = 0 = (2)(Fsx) + (24 - 10)(Fsy) ⇒ Fsx = - 35 lb
I know this can't be right because that force is to large. I'm probably making some really fundamental errors, so if anyone could help that would be fantastic.