A cable is attached to a $1\mathrm{.}60kg$ block $A,$ is looped over a fixed peg at $C,$ and is attached to plate B$.($Egune $1)$ The coefficient of static friction between the plate and the block is ${}_A=0\mathrm{.}190,$ the coefficient of static friction between the plate and the inclined plane is ${}_B=0\mathrm{.}340,$ and the coefficient of static friction between the cable and the peg is ${}_C=0\mathrm{.}360.$ If the plane's angle is $30\mathrm{.}0$ degrees, what is the maximum mass that plate $B$ can hawe such that it does not slide down the plane?

Express your answer numerically in kilograms to three significant figures.

PBBA