Problem $2.$ Use a cycloidal function to design a single dwell cam that has a rise of $1\mathrm{.}75$ inches in $0\mathrm{.}45$ s $,$ falls in $0\mathrm{.}15$ s $,$ and dwells for $0\mathrm{.}40$ s$.$ Provide SVAJ plots of your cam design and mark the maximum values of each segment on all plots. Free hand drawing is ok$.(40$ points$)$ If we have a flat face follower what radius of the base circle you select for the cam and why? $(5$ points$)$ What is the minimum size of the flat face follower width? $(5$ points$)$