A machine is defined as shown in the figure and parameter table. The bars $\backslash ($ A B $\backslash )$ and $\backslash ($ B C $\backslash )$ are identical and uniform. The spring has an unstretched length of $1\mathrm{.}61$ m $.$ Find the mass of each bar if the system is at equilibrium. Also, what is the normal force acting on the wheel $($take the positive direction to be to the

$\backslash [$

k

$\backslash ]$

right$)?$

$\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|\}$

$\backslash$hline parameter & value & units $\backslash \backslash$

$\backslash$hline L & $4$ & m $\backslash \backslash$

$\backslash$hline$\backslash (\backslash$theta $\backslash )$ & $35$ & $\backslash (\backslash$circ $\backslash )\backslash \backslash$

$\backslash$hline k & $160$ & $\backslash (\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

The mass of each bar $=\backslash (\backslash$square $\backslash )$ kg

The normal force at $\backslash ($ C$=\backslash )\backslash (\backslash$square $\backslash )$ N