For HW $3$: All synthesis $($design$)$ should be on paper by hand with link lengths provided in summary. To find toggle

positions and transmission angles, you may use Inventor.

#$1.$ Design a fourbar Grashof crank$-$rocker for $75$ deg of output rocker motion with no quick return. Sketch or use

Inventor to determine the toggle positions.

#$2$: Design a fourbar Grashof crank$-$rocker for $50$ deg of output rocker motion with a time ratio of $1$:$1\mathrm{.}3.$ Sketch or use

Inventor to determine the toggle positions.

#$3.$ Design a fourbar mechanism to give the two positions shown in Figure P$3-1$ of coupler motion. Determine the toggle

positions $-$ this will be a double$-$rocker. Add a driver dyad; in other words, choose one rocker and synthesize a crank to

drive that rocker between its two toggle positions. Determine the time ratio of the complete linkage.

Figure P$3-1$

#$4.$ Figure P$3-4$ shows a non$-$Grashof fourbar linkage that is driven from link $O_{2}A$; dimensions are centimeters.

A$.$ Find the toggle positions in terms of angle $A{O}_2{O}_4$

B$.$ Draw the coupler curve of point $P$ over its range of motion

C$.$ Add a driver dyad to drive $O_2$A between its toggle positions.