$(20$ pts$)[$Drawing Tools$]$ Design a fourbar Grashof crank$-$rocker for $90$ of output rocker motion with

a quick return ratio of $1$:$1\mathrm{.}4.($See Example $3-9$ for the design process$)$

a$.(5$ pts$)$ Determine angles $,,$ and $.$

b$.(10$ pts$)$ Draw the mechanism to scale in its two extreme configurations $($at the toggle points$)$

using $L_4=2$ in$.$

c$.(5$ pts$)$ Define the remaining link lengths.