$14.(15$ points$)$ A $\backslash (4\mathrm{.}00-\backslash$mathrm$\{$kg$\}\backslash )$ block rests between the floor and a $\backslash (3\mathrm{.}00-\backslash$mathrm$\{$kg$\}\backslash )$ block as shown in the figure. The $\backslash (3\mathrm{.}00-\backslash$mathrm$\{$kg$\}\backslash )$ block is tied to a wall by a horizontal rope. The coefficient of static friction is $0\mathrm{.}800$ between each pair of surfaces in contact,

a$)$ What force must be applied horizontally to the $\backslash (4\mathrm{.}00-\backslash$mathrm$\{$kg$\}\backslash )$ block to make it move?

b$)$ If the horizontal force $\backslash ($ F $\backslash )$ has magnitude that is half of that calculated in part a$),$ find the tension in the rope.