Piston $(1)$ in the figure below has a diameter of $\backslash (0\mathrm{.}42\backslash$mathrm$\{$in$.$;$\}\backslash )$ piston $(2)$ has a diameter of $1\mathrm{.}1$ in $.$ In the absence of friction, determine the force $\backslash (\backslash$overrightarrow$\{\backslash$mathbf$\{$F$\}\}\backslash )$ necessary to support the $\backslash (500-\backslash$mathrm$\{$Ib$\}\backslash )$ weight. $($Enter magnitude.$)$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Ib