The man at $\backslash ($ B $\backslash )$ exerts a force of $\backslash ($ P$=21\backslash$mathrm$\{$lb$\}\backslash )$ on the rope $($Figure $1).$

Part A

Determine the magnitude of the force $\backslash ($ F $\backslash )$ the man at $\backslash ($ C $\backslash )$ must exert to prevent the pole from rotating, i$.$e$.,$ so the resultant moment about $\backslash ($ A $\backslash )$ of both forces is zero. Express your answer in pounds to three significant figures.

$\backslash ($ F$=\backslash )$

lb

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Figure