A $22\mathrm{.}5$ kg box A on a flat smooth table is connected to horizontal rope connected through a pulley to a hanging $10$ kg box B $($over the ledge of the table$).($a$)$ Identify the forces on each mass.$($b$)$ What is the acceleration on the system and tension in the rope? $($c$)$ Solve part b$,$ assuming the table is rough $($with coefficient of static and kinetic friction equal to $\mathrm{.}3$ and $\mathrm{.}25$ respectively$)$