Two equal masses m are attached by a string. One mass lies at radial distance r from the centre of a horizontal turntable which rotates with constant angular velocity `omega=2` rad `s(1)`, while the second hangs from the string inside the tumtable's hollow spindle (see fig.) The coefficient of static friction between the turntable and the mass lying on it is `mu_(s)=0.5`. The maximum and minimum values of radius such that the mass lying on the turntable does not slide are `r_("max")+r_("min")` in meter is