A box with mass MMM is resting on another box $(50$ kg$)$ located on an inclined plane. The coefficient of friction between the lower box and the inclined plane is $1=0\mathrm{.}25\backslash$mu$\_1=0\mathrm{.}25$$1=0\mathrm{.}25,$ and between the two boxes is $2=0\mathrm{.}25\backslash$mu$\_2=0\mathrm{.}25$$2=0\mathrm{.}25.$ The pulley is frictionless, and the rope's mass is negligible. Determine the minimum mass MMM for which the entire system remains stationary. Let F$=190$NF $=190\backslash ,\backslash$text$\{$N$\}$F$=190$N$,$ G$=450$NG $=450\backslash ,\backslash$text$\{$N$\}$G$=450$N$,$ and $=30\backslash$alpha $=30^\backslash$circ$=30.$

Mass MMM when the upper box is about to move upward $=\_\_\_$ kg

Mass MMM when the upper box is about to move downward $=\_\_\_$ kg

Mass MMM when both boxes are about to move upward $=\_\_\_$ kg

Mass MMM when both boxes are about to move downward $=\_\_\_$ kg

Minimum mass MMM for which the entire system remains stationary $=\_\_\_$ kg