The $\backslash (13-\backslash$mathrm$\{$kg$\}\backslash )$ block is attached to link $\backslash ($ A B $\backslash )$ and rests on a moving belt. Knowing that $\backslash (\backslash$mu$\_\{$s$\}=0\mathrm{.}30\backslash )$ and $\backslash (\backslash$mu$\_\{$k$\}=0\mathrm{.}25\backslash )$ and neglecting the weight of the link, determine the magnitude of the horizontal force $\backslash ($ P $\backslash )$ that should be applied to the belt to maintain its motion $($a$)$ to the left, $($b$)$ to the right. $($Round the final answers to one decimal place.$)$

The magnitude of the horizontal force $\backslash ($ P $\backslash )$ that should be applied to the belt to maintain its motion to the left is The magnitude of the horizontal force $\backslash ($ P $\backslash )$ that should be applied to the belt to maintain its motion to the right is$\backslash (\backslash$mathrm$\{$N$\}\backslash$rightarrow $\backslash ).$