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Part B $-$ Calculating the moment about $\backslash ($ O $\backslash )$ due to the $\backslash ($ x $\backslash )$ component of F

The force vector $\backslash (\backslash$mathbf$\{$F$\}\backslash )$ can be written as the sum of component vectors $\backslash (\backslash$mathbf$\{$F$\}=(\backslash$mathbf$\{$F$\})\_\{$x$\}+(\backslash$mathbf$\{$F$\})\_\{$y$\}\backslash ).$ We can use the scalar method to individually compute the contributions to the moment from the components. $($Figure $2)$ What is the moment about $\backslash ($ O $\backslash )$ due to only the $\backslash ($ x $\backslash )$ component of $\backslash (\backslash$mathb In order to pull out the nail at $\backslash ($ B $\backslash ),$ the force $\backslash (\backslash$mathbf$\{$F$\}\backslash )$ exerted on the handle of the hammer must produce a clockwise moment of $550$ lb $-$ in about point $\backslash ($ A $\backslash ).($ Figure $1)$

Determine the required magnitude of force $\backslash (\backslash$mathbf$\{$F$\}\backslash ).$

Express your answer with the appropriate units.

Figure