Determine the maximum counterweight $\backslash ($ W $\backslash )$ for which the loaded $\backslash (4400-\backslash$mathrm$\{$lbs$\}\backslash )$ coal car will not overturn about the rear wheels $\backslash ($ B $\backslash ).$ Neglect the mass of all pulleys and wheels. $($Note that the tension in the cable at $\backslash ($ C $\backslash )$ is not $\backslash (2$ W $\backslash ).)$

$\backslash [$

$\backslash$mathbf$\{$W$\}=$

$\backslash ]$

lbs