Two$-$position analytical synthesis:

Considering only the first and final $(1$ and $5)$ prescribed positions, find delta based

on the values shown in the table, and write the standard form equations for this

situation. Solve the equations for two values of W and Z to make a complete $4-$bar

mechanism. Draw the resultant mechanism in a position between the first and final

position $$ do you notice any problems or does the solution seem okay?

a$.$ First dyad: Z $=-23$i$,\backslash$beta $2=-55\backslash$deg

b$.$ Second dyad: Z $=3+0$i$,\backslash$beta $2=75\backslash$deg

Figure $1.$ Bucket pouring mechanism. Use only the first and final position to perform

the synthesis.