Required information

A spring $\backslash ($ A B $\backslash )$ with $\backslash (2\mathrm{.}4\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$mm$\}\backslash )$ stiffness is attached to a cable at $\backslash ($ B $\backslash ).$ The cable wraps around two cylindrical surfaces, and cable segments $\backslash ($ B C$,$ D E $\backslash ),$ and $\backslash ($ G H $\backslash )$ are horizontal. All contact surfaces have coefficients of static and kinetic friction of $0\mathrm{.}1$ and $0\mathrm{.}09,$ respectively. The spring is initially unstretched.

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Once the spring is stretched by $4$ mm $,$ determine the value to which $\backslash ($ P $\backslash )$ must be reduced so that the spring begins to contract. $($Round the final answer to four decimal places.$)$

Pmust be reduced to

$*$ N $.$