Question No$.1(10$ Marks $)$

Consider the crank$-$slider mechanism shown in Figure $(3),$ The crank $O_2$A rotates with a constant angular velocity ${}_2=10\frac{r}{s}$ anticlockwise, and the link $AB$ oscillates with an angular velocity ${}_3.$

Given the link lengths

$1.$ Plot the velocity diagram

$2.$ Find the angular velocity of link $3.$

$3.$ Find the linear velocity of Link $4.$

$4.$ Compare your result with the analytical solution.

$5.$ Find the velocity of point $C$

$\left[\begin{array}{cc}1& r_{3}sin{}_3\\ 0& -r_{3}cos{}_3\end{array}\right]\left[\begin{array}{c}{v}_B\\ {}_3\end{array}\right]=\left[\begin{array}{c}-r_2{}_{2}sin{}_2\\ r_2{}_{2}cos{}_2\end{array}\right]$

Pls i have digram the velocity.