$(25$ pts $)$ Initially at rest, masses A and $B($with mass $m_A$

and $m_B)$ are connected by pulleys as shown. Determine

the accelerations of A and $B,$ and the tensions in the

cords. $($Neglect the friction; neglect the masses of the

pulleys and the cords$)(25$ pts$)$ Initially at rest, masses A and B $($with mass mA

and m B$)$ are connected by pulleys as shown. Determine

the accelerations of A and B$,$ and the tensions in the

cords. $($Neglect the friction; neglect the masses of the

pulleys and the cords$)$