The peanut shaped object in figure $($a$)$ represents a fixed cam, which is a stationary element used in a mechanism design where complex paths of motion are required. A spring loaded slotted bar keeps the wheel at point A in contact with the surface of the cam as the slotted bar rotates. Since the wheel maintains contact with the fixed cam at all times, it is usually referred to as a "follower".

The slotted bar rotates about point O such that the time$-$derivative of the its angular position, $,is$ constant, and $is$ given $by\frac{d}{dt}=1\mathrm{.}8\frac{\text{r}\text{a}\text{d}}{s}$

The radial position $of$ the follower $is$ determined $by$ the shape $of$ the stationary cam $is$ given $by$

$r()=1+0\mathrm{.}7cos(2)$

where $risin$ centimeters $(cm).$

Figure $(b)$ shows a time$-$lapse $of$ the motion $of$ the follower $(wheel)to$ illustrate its path $of$ motion.

Determine the velocity and acceleration $of$ the follower $at$ the instant where $=120(2\mathrm{.}09$ radians$).$ Express these $in$ vector form and calculate their respective magnitudes.

Hint: you need $to$ use the chain rule for differentiation $to$ solve this problem.

Note: You may express the velocities and accelerations $inc\frac{m}{s}$ and $c\frac{m}{s^2}-no$ need $to$ convert $to\frac{m}{s}or\frac{m}{s^2}$