A horizontal turntable rotates at constant angular speed $\omega$ about a vertical axis. Three vertical cylinders, of cross-sectional areas $A_1$, $A_2$, $A_3$, are mounted upright on the turntable at radial distances $r_1 < r_2 < r_3$ along a single radius. Each cylinder is fitted with a frictionless piston supporting a mass $m_i$. The cylinders contain a common incompressible fluid and are joined at their bases by a horizontal radial pipe with valves at points $A$ (between cylinders 1 and 2) and $B$ (between cylinders 2 and 3). Both valves are initially open, and the assembly has reached steady state in the rotating frame. With the turntable still spinning, an experimenter closes valve $A$. How is the height of mass $m_2$ affected?