Question $1(3$ points$)$

$\backslash$table$[[r1,$r$2,$r$2$P$,$r$3,],[$given$,$given,$100,$r$3,$crn$],[$theta$\_1,$theta $2,$theta $2$P$,$theta$\_3,],[$given$,$theta$\_2,$theta$\_2,$given,degrees$]]$

A bicep curl exercise machine is shown in the figure with a corresponding schematic and vector model defined. Also note key link parameters shown in the table. The objective is to find the extension rate of the piston $($vector$3)$ over the range of motion of the exercise. ANGLES GIVEN IN DEGREES!

Solve for parameter rk $($magnitude$)$ resulting from the loop closure solution. Use the method covered in class.

Assume that the angle of the piston $($theta$3)$ is given. Write your loop equation in a clock$-$wise direction.

Given data is here and on figure and table. $r1=150$; theta$\_1=90$; r$2=74$; theta$\_3-109$:

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