Problem $4$:

A plate cam must provide the displacement shown in Figure to a reciprocating offset 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 a base circle of $3\mathrm{.}0$ in$.$ and rotate clockwise. Graphically construct the profile and estimate the largest pressure angle

$\backslash$table$[[\backslash$table$[[$Can$],[$angle$]],\backslash$table$[[$Follower$],[$Despl$]]],[($cen$),($m$)],[0,0000],[10,0\mathrm{.}000],[20,0000],[30,0\mathrm{.}000],[40,0\mathrm{.}004],[50,$acas$],[00,0001],[70,0\mathrm{.}1\%],[80,0\mathrm{.}37],[90,0\mathrm{.}500],[100,0\mathrm{.}663],[110,0$ over$],[120,0\mathrm{.}009]]$

$\backslash$table$[[$Cam sangle,$\backslash$table$[[$Followies$],[$Displ$]]],[($dep$),($in$)],[130,0\mathrm{.}971],[140,0\mathrm{.}996],[150,1000],[160,1000],[170,1\mathrm{.}000],[180,1\mathrm{.}000],[190,0\mathrm{.}96],[200,0\mathrm{.}971],[210,0\mathrm{.}909],[220,0\mathrm{.}804],[230,0\mathrm{.}603],[240,0\mathrm{.}500]]$

$\backslash$table$[[\backslash$table$[[$Can$],[$zagle$]],\backslash$table$[[$Follower$],[$Displ$]]],[($c$$e$,($ba$)],[250,0337],[260,0\mathrm{.}8\%],[270,0\mathrm{.}091],[200,0\mathrm{.}039],[290,0\mathrm{.}03],[300,0\mathrm{.}000],[30,0\mathrm{.}000],[300,0\mathrm{.}000],[360,0\mathrm{.}000],[340,0\mathrm{.}000],[350,0\mathrm{.}000],[360,0\mathrm{.}000]]$