$+$Two$+$identical$+$disks$+$are$+$both$+$rotating$+$at$+$angular$+$velocity$+$of$+$magnitude$+\backslash (+\backslash$omega$+\backslash )+$on$+$frictionless$+$axis.$+$Two$+$small$+$clay$+$pucks,$+\backslash (+$A$+\backslash )+$and$+\backslash (+$B$+\backslash ),+$of$+$identical$+$mass,$+$travels$+$in$+$straight$+$line$+$and$+$hits$+$and$+$sticks$+$to$+$the$+$two$+$disks.$+$The$+$two$+$disks$+$are$+$rotating$+$in$+$the$+$same$+$direction.$+$The$+$two$+$pucks$+$both$+$hit$+$and$+$stuck$+$to$+$the$+$disk.$+$The$+$velocity$+$of$+$puck$+$A$+$is$+$the$+$same$+$as$+$the$+$velocity$+$of$+$puck$+$B$.+$Puck$+$B$+$is$+$stuck$+$on$+$the$+$edge$+$of$+$the$+$disk.$+$Puck$+$A$+$is$+$stuck$+$closer$+$to$+$the$+$center$+$of$+$the$+$disk.

Which$+$disk$+$and$+$puck$+$system$+$will$+$have$+$a$+$greater$+$magnitude$+$of$+$angular$+$velocity$+$after$+$the$+$collision?Disk$+$ADisk$+$BThe$+$angular$+$velocities$+$will$+$be$+$the$+$sameNot$+$enough$+$information