A uniform $3$ in x $5$ in rectangular plate weighing $1\mathrm{.}0$ lb is suspended in equilibrium by hinge AB $($aligned with the x axis$)$ and force P aligned in the y$-$direction. The force, P$,$ is applied along the long edge at a point a distance d $=0\mathrm{.}5$ inches from the outer edge. The plate$$s long edge makes a $10$ angle to the y$-$axis. Draw the FBD of the plate separated from rod AB and use it to calculate P and all reaction forces at A and B$.$ BONUS: $(5$ points$)$ What is the maximum friction force rod AB can exert on the plate if coefficients of friction between the materials are $$s$=0\mathrm{.}30$ and $$k$=0\mathrm{.}20.$ P W A B d