A$4$kg object and a$2$kg object are suspended and joined by a pulley with radius$7$cm and mass$1\mathrm{.}3$kg$.$The pulley experiences a frictional torque of$0\mathrm{.}50$N$*$m$.$The masses start from rest.

$($a$)$Determine the final speed of the$4\mathrm{.}0$kg object as it hits the ground.

$($b$)$Determine the tangential acceleration of the pulley

$($c$)$Knowing that$$$=$ddt$$and t