Plate $04$: Flat$-$Face Follower Problem: Design a plate cam to actuate the followers through the rocker R which is pivoted at P$.$ The slide S works in vertical guides and its center line is $5$ in$.$ to the right of the camshaft center. The point Pis $8$ in$.$ to the left and $3$ V in$.$ above the camshaft center. The rocker is y in$.$ thick and is pivoted at Pin center of its thickness. R is horizontal when in its lowest position. The cam is to work against the lower flat face of Rand the follower rides on the top of R$.$ The foot of the followers is a semicircle in$.$ in diameter. Cam rotates clockwise and raises S $3$ min. in the first $90\backslash$deg rotation with harmonic motion. Srests during next $90\backslash$deg rotation of cam; next $90\backslash$deg is lowered with uniform motion $3$ V in$.$ and rests during the last $90\backslash$deg $.$ Instructions: $$ Layout the motion in the displacement diagram and the profile of the cam for every $100$ of rotation $$ Displacement diagram $($long coupon bond$)$ Scale: $100=0\mathrm{.}7$ cm $($Displacement Diagram$)$ Cam Profile $($drafting plate$)$ Displacement diagram $=$ full size Cam profile $=$ reduce to size. $($note: displacement when transferred, reduce to in size$)$ Scale: Space, full size. Time: $6$ hrs