Problem $2$:

The bars shown are at rest in a horizontal plane. A force $P=3000N$ is applied at point $B$ on bar $AB$ and a moment $M$ is applied on bar $CD.$ The dimensions for the system are $a=0\mathrm{.}3m,b=0\mathrm{.}6m,$ and $=35.$ The static coefficient of friction between the two bars is ${}_s=0\mathrm{.}4.$

What is the largest moment $M$ that can be applied to the system before the system starts to move?

$N-m$