$(2)$ GIVEN $(40$ PTS$)$: VLE FOR KINEMATIC ANALYSES

A LDOF kinematic mechanism is shown below $($not to scale$),$ All links are numbered $(1,2$dots $),$ and

joints are labeled with letters $($A$,$ B$...)$ in the skeletal drawing Rigid lenk #$2$ provides input for driving

the position of all other links. Line segments $AB$ and $AD$ form a right angle $($i$.$e$.,$ LBAD$=90).$

$($A$)$ Attach an appropriate coordinate system to the mechanism.

$($B$)$ With ${}_2$ as input, define sufficient vector loop equation$($s$)($VLE$)$ as well as any geometric

constraints necessary for a complete kinematic analysis of all links.

$($C$)$ Identify the fixed $($i$.$e$.,$ known or constant$)$ and unknown $($i$.$e$.,$ variable$)$ parameters for the VLEs.

$($D$)$ What approach $($and why$)$ is needed for the position analysis of this mechanism using the numerical

method: coupled approach, sequential approach, or both?