Layout a cam profile using a harmonic follower displacement $($both rise and return$).$ Assume that the

cam is to dwell at zero lift for the first $100$ of the motion cycle and to dwell at a $2\mathrm{.}5$ cm lift for cam angles

from $160$ to $210.$ The cam is to have a translating, radial, roller follower with a $2\mathrm{.}4$ cm roller diameter,

and the base circle radius is to be $3\mathrm{.}8$ cm $.$ The cam will rotate clockwise. Layout the cam profile using $20$

plotting intervals.