Determine the minimum tension force $T_{\text{m}\text{i}\text{n}}$ required to cause impending slippage of the $15$ kg block on the horizontal floor. The static and kinetic coefficients of friction on the contact surfaces are ${}_s=0\mathrm{.}50$ and ${}_k=0\mathrm{.}40.$

$T_{\text{m}\text{i}\text{n}}=$ N