Problem $3(13$ pts$)$: Design a quick return $4$ bar linkage whose input is driven by a constant speed motor

and whose output rocker oscillates between $45$ degrees and $95$ degrees above the horizontal with the

clockwise motion time being $1\mathrm{.}3$ times slower than the counter$-$clockwise motion. The ground pivot points

and $\{$:$O_4)$ should not be further than $12$ inches apart.

$3\mathrm{.}1(2$ pt$)$ Calculate the angles needed to achieve this time ratio

$3\mathrm{.}2(3$ pts$)$ Show the sketch of the graphical construction used to synthesize the quick return

mechanism, with important angles indicated.

$3\mathrm{.}3(4$ pts$)$ Draw the final four bar linkage to scale

$3\mathrm{.}4(1$ pts$)$ List the lengths of all the links

$3\mathrm{.}5(1$ pts$)$ What is the angle of the GND link measured counter clockwise with respect to the horizontal

$3\mathrm{.}6(2$ pts$)$ Identify the class and inversion type of your mechanism