$(32$ points$)$ Design a simplifier rack and pinion steering mechanism for the car of your choice

$($e$.$g$.$ your car, your family's car, or a car you are interested in$).$ A $2-$D sketch of the model you

will use is shown below. Design your systems such that $3$ rotations of the pinion gear are

required to tilt the wheels from fully to the left to fully to the right. $($You define what "fully"

means based on your selection of car.$)$ For the sake of modeling, assume the grey connecting

rod is fixed with respect to ground. The rack is rigidly connected to the blue rod, and the small

black circles indicate pin joints.

a$.(10$ points$)$ State the car you have chosen $($year$,$ make, and model$).$ List, in a table, the

parameters from your research that you have used in your design and their values $($with

units$).$

b$.(12$ points$)$ Sketch the geometry of your design neatly. Provide any calculations necessary

to show that it meets the constraint of $3$ rotations as stated above.

c$.(10$ points$)$ Calculate how much torque is required to turn the pinion. This information

would be used to design the hydraulic system needed for power steering.