A $5$ kg uniform serving table is supported on each side by pairs of two identical links, $\backslash ($ A B $\backslash )$ and $\backslash ($ C D $\backslash ),$ and springs $\backslash ($ C E $\backslash ),$ as shown in $($Figure $1).$

Part A

If the bowl has a mass of $1$ kg $,$ determine the angle $\backslash (\backslash$theta $\backslash )$ where the table is in equilibrium. The springs each have a stiffness of $\backslash ($ k$=250\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ and are unstretched when $\backslash (\backslash$theta$=90^\{\backslash$circ$\}\backslash ).$ Neglect the mass of the links. Express your answer in degrees to three significant figures. If there is more than one answer, separate them by a comma.

$\backslash [$

$\backslash$theta$=28\mathrm{.}09$

$\backslash ]$

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