Please show all work and calculations step by step.

$4\mathrm{.}4$ Geared fivebar

$($All dimensions in millimeters$)$

Length of link on gear $1$: $120$

Coupler $1$ length: $250$

Coupler $2$ length: $250$

Length of link on gear $2$: $120$

Distance between ground pins: $180$

Length from B to P;$200$

Length from C to Q:$200$

Teeth on gear $1$:$48$

Teeth on gear $2$:$24$

Angular velocity of gear $1$:$10$ra$($d$)/($s$)$

Angular acceleration of gear $1$:$0$ra$($d$)/($s$)$

Part $1$: Mechanism with continuous motion

a$=150$mm$,$u$=150$mm$,$ and d$=200$mm$.$

bP$\backslash$theta $2=180\backslash$deg $.$

Explain how this type of information can be used to inform decisions about mechanism

design.