Question $1$: The links $\backslash ($ A B $\backslash )$ and $\backslash ($ D E $\backslash ),$ which are both two force members, are connected to the crank $\backslash ($ B C D $\backslash )$ as shown in figure. The tensile force in the link $\backslash ($ A B $\backslash )$ is specified as $850$ N $.$ An external force of $400$ N and an external couple moment of $\backslash (1200\backslash$mathrm$\{$~N$\}\backslash$cdot $\backslash$mathrm$\{$~mm$\}\backslash )$ are applied at point B on crank BCD$.$ Additionally, a distributed load starting from zero up to $\backslash (225\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ is applied from point $\backslash ($ C $\backslash )$ to point D $,$ perpendicular to the axis CD $.$ Knowing that the system is in equilibrium, determine;

$($a$)$ the force in the link DE$,$

$($b$)$ the reaction at C $.$

If the maximum allowable reaction force at C is $1800$ N $,$

$($c$)$ find the maximum allowable force that can be exerted by link AB $.$

Note that you may neglect the thickness and curvature of the bellcrank BCD$.$