Problem $1[18$ pts$]$:

For the five mechanisms shown below:

a$)$ Compute how many instant centers should there be in this mechanism.

b$)$ Identify all instant centers $($ICs$)$ for the mechanism using a linear graph to track them. Use the labeling convention from class to label each instant center, e$.$g$.,\backslash (\backslash$mathrm$\{$I$\}\_\{13\}\backslash ).$ Show construction lines if needed $($Rules $2,3,5).$

Mechanisms $1-3[3\mathrm{.}5$ pts each$].$ Mechanism $4[5\mathrm{.}5$ pts$].$ Neatness and completeness $[2$ pts$].$

Mechanism $1$ Mechanism $3$

Mechanism $4$