P$4)$ Make a complete kinematic analysis $($find the positions and the velocities for all links$)$ of the mechanism in the figure shown below. Provided that ${}_2=241$ and ${}_2=-10ra\frac{d}{sec}$ clockwise $($constant$).$ Piston $8$ follows a trajectory along a vertical line that passes through $O_6.$ The dimensions of the mechanism are $O_{2}A=1\mathrm{.}4cm,AB=3\mathrm{.}5cm,O_{4}B=1\mathrm{.}4cm,r_{O_2}=(0,0)cm,r_{O_4}=(-3\mathrm{.}1,-1\mathrm{.}6)cm,BC=3\mathrm{.}7cm,CD=5cm,O_{6}D=1\mathrm{.}3cm,r_{O_6}=(0,-2\mathrm{.}8)cm,O_{6}E=1\mathrm{.}5cm,=67\mathrm{.}5,$ and $EF=2\mathrm{.}3cm.$