Problem $1$:

For each of these problems, find the range of values of the unknown link if the linkage will

theoretically act as

$($a$)$ a crank$-$rocker mechanism $($where link $1$ rotates through $360)$;

$($b$)$ a drag link mechanism;

$($c$)$ a double$-$rocker mechanism;

$($d$)$ a change$-$point mechanism;

$($e$)$ a Grashof's mechanism; and

$($f$)$ a triple$-$rocker mechanism

Find $L_0$ for $L_1=110mm,L_2=215mm$ and $L_3=320mm$

Problem $2$:

Using the theoretical range of $L_0$ as a crank$-$rocker mechanism from problem $1,$

$($b$)$ Find $L_0$ so that minimum transmission angle $\frac{O}{{?}_{\text{m}\text{i}\text{n}}}=45$

$($c$)$Find the maximum transmission angle for this linkage