The structure has two frictionless pulleys around which a string is wrapped. If $\backslash ($ W$=42\backslash$mathrm$\{$lb$\}\backslash ),$ determine a force system that is equivalent to the forces applied by the string, where this force system consists of a single force, and specify the $\backslash ($ x $\backslash )$ coordinate of the point where the force's line of action intersects the $\backslash ($ x $\backslash )$ axis. $($Round the final answers to four decimal places. Do not include a minus sign in your response.$)$

The value of $\backslash (\backslash$left$($F$\_\{$R$\}\backslash$right$)\_\{$X$\}\backslash )$ of the equivalent force system is

$\backslash (\backslash$mathrm$\{$lb$\}\backslash$leftarrow $\backslash ).$

The value of $\backslash (\backslash$left$($F$\_\{$R$\}\backslash$right$)$ y $\backslash )$ of the equivalent force system is

$\backslash (\backslash$mathrm$\{$lb$\}\backslash$downarrow $\backslash ).$

The $\backslash ($ x $\backslash )$ coordinate of the point where the equivalent force's line of action intersects the $\backslash ($ x $\backslash )$ axis is in$.$