Problem $5\mathrm{.}24$

The relay shown in $($Figure $1)$ regulates voltage and current. The spring $\backslash ($ C D $\backslash )$ has a stiffness of $\backslash ($ k$=150\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Assume that the angle of $\backslash (10^\{\backslash$circ$\}\backslash )$ in case $($a$)$ is small enough to consider the spring to be vertical.

Figure

Part A

Determine the force in the spring $\backslash ($ C D $\backslash ),$ so that it will allow the armature to make contact at $\backslash ($ A $\backslash )$ in figure $($a$)$ with a vertical force of $0\mathrm{.}4$ N $.$ Express your answer to three significant figures and include the appropriate units.

$\backslash [$

F$\_\{$s$\}=$

$\backslash ]$

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Part B Complete previous part$($s$)$

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