Figure

Part A

A cable is attached to a $2\mathrm{.}60kg$ block $A,$ is looped over a fixed peg at $C,$ and is attached to plate $B.($Figure $1)$ The coefficient of static

friction between the plate and the block is ${}_A=0\mathrm{.}300,$ the coefficient of static friction between the plate and the inclined plane is ${}_B$

$=0\mathrm{.}390,$ and the coefficient of static friction between the cable and the peg is ${}_C=0\mathrm{.}230.$ If the plane's angle is $30\mathrm{.}0$ degrees, what

is the maximum mass that plate $B$ can have such that it does not slide down the plane?

Express your answer numerically in kilograms to three significant figures.

View Available Hint$($s$)$

$m_B=$

$kg$