Problem $4(10$ pts$)$: Three position synthesis

$4\mathrm{.}1(6$ pt$)$ Using Graphical Linkage Synthesis, design a four$-$bar mechanism to give the three positions of

the coupler motion shown below. You don't have to use points $O_2$ and $O_4.$

$4\mathrm{.}2(4$ pts$)$ What would you need to do if you had to use points $O_2$ and $O_4?$ Note: you do not need to

actually solve the problem, just describe a process you would use to solve the problem.