The $5$ kg crank arm$($OA$)$ is rotating at a constant speed of $\backslash$omega $=100$rpm$.$ The uniform piston rod AB has a mass of $6\mathrm{.}3$ kg and at $\backslash$theta $=67$

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the piston is subject to a piston chamber force of P$=800$ N$.$ If the piston has a mass of $5\mathrm{.}5$ kg$,$ what are the reaction forces at joint A $?$ Neglect any friction forces. Please show your free$-$body diagrams and your work in detail.