Problem $9\mathrm{.}41.$ A plate cam must provide displacement shown in Figure P$9\mathrm{.}37$ to a reciprocating roller follower. The follower is positioned in the vertical plane, contacting the top of the cam. The offset distance is $0\mathrm{.}75$ in$.$ to the left of the cam center. The roller diameter is $1\mathrm{.}0$ in$.$ The cam must have base circle of $3\mathrm{.}0$ in$.$ and rotate clockwise. Graphically construct the profile and and estimate the largest pressure angle.