$3-(60$ points$)$ Using the vector loop method, Given a fourbar linkage with the link lengths Ro$204$

$=250mm,R_{02A}=50mm,R_{AB}=150mm,R_{04B}=160mm.$ For ${}_2=40$ and ${}_2=-4de\frac{g}{sec}$ find

the values ${}_3$ and ${}_4.$ Then, find the $3$ and $4,V_A,V_{BA}$ and $V_B$ analytically $($symbolic$).$ Also,

when ${}_2$ changes from $80$ to $40$ please plot:

${}_3$ vs ${}_2($deg vs$.$ deg$)$

${}_4$ vs ${}_2($deg vs$.$ deg$)$

${}_2$ vs ${}_2($deg$/$s vs$.$ deg$)$

${}_3$ vs ${}_2($deg$/$s vs$.$ deg$)$

${}_4$ vs ${}_2($deg$/$s vs$.$ deg$)$

$(10$ Bonus points$)$ prepare an animation of this mechanism in Python with the given dimensions.