Problem $1$

The flywheel turns clockwise with a constant speed ${}_1={}^{}=600re\frac{v}{m}in.$ The connecting link $AB$ slides through the pivoted collar at $C.$

$($a$)$ Calculate the angle $$ as function of $,r,$ and $d.(r=OA,d=OC).$ Show the calculations in letters.

$($b$)$ Calculate the angular velocity ${}_2={}^{}$ of $AB$ as function of ${}_1={}^{},r,$ and $d.$ Show the calculations in letters. Obtain at the end the numerical value for $=60.$

$r^r$