Problem $1(100$ Points$)$

The crank $($link $\backslash (\backslash$mathrm$\{$O$\}\_\{2\}\backslash$mathrm$\{$~A$\}\backslash ))$ rotates at a constant angular velocity of $\backslash (10\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ counter$-$clockwise. It is currently in a horizontal position.

The crank is pinned to a slider at point A $.$ The slider translates on link $\backslash (4\backslash$left$(\backslash$mathrm$\{$O$\}\_\{4\}\backslash$mathrm$\{$~B$\}\backslash$right$)\backslash ).$ Link $4$ and link $5($BC$)$ are pinned at point B$.$ Link $5$ is pinned at $\backslash ($ C $\backslash )$ to a slider that translates in the horizontal direction. Link $\backslash (4\backslash$left$(\backslash$mathrm$\{$O$\}\_\{4\}\backslash$mathrm$\{$~B$\}\backslash$right$)\backslash )$ has a length of $24$ in $.$

Find the velocity of the slider $($point C on link $6)$ and the angular velocity of links $4$ and link $5$ using the method of velocity polygons. Include magnitude and direction in your answer. SCALE YOUR POLYGONS TO $\backslash (1\backslash$mathrm$\{$~cm$\}=1\backslash$mathrm$\{$in$\}/\backslash$mathrm$\{$s$\}\backslash ).$