Suppose the coefficient of kinetic friction between $m_A$ and the plane in is ${}_k=0\mathrm{.}24,$ and that $m_A=m_B=2\mathrm{.}3kg.$ Ignore masses of the $($frictionless$)$ pulley and the cord.

Part A

As $m_B$ moves down, determine the magnitude of the acceleration of $m_A$ and $m_B$ given $=38.$

Express your answer to two significant figures and include the appropriate units.

$a=$

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Part B

What smallest value of ${}_k$ will keep this system from accelerating?