Block AA rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block BB is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley $($radius $0\mathrm{.}080$ mm$)$ because the pulley rotates on a frictionless axle. The horizontal surface on which block AA $($mass $3\mathrm{.}70$ kgkg$)$ moves is frictionless. The system is released from rest, and block BB $($mass $5\mathrm{.}00$ kgkg$)$ moves downward $1\mathrm{.}80$ mm in $2\mathrm{.}00$ ss$.$