$5-26.$ The mobile crane is symmetrically supported by two outriggers at A and two at $($B$)$ in order to relieve the suspension of the truck upon which it rests and to provide greater stability. If the crane boom and truck have a mass of $18$ Mg and center of mass at $)$ and the boom has a mass of $1\mathrm{.}8$ Mg and a center of mass at $G_2,$ determine the vertical reactions at each of the four outriggers as a function of the boom angle $$ when the boom is supporting a load having a mass of $1\mathrm{.}2$ Mg $.$ Plot the results measured from $=0$ to the critical angle where tipping starts to occur.