Cam is a mechanical device that transforms rotary motion into linear motion. The shape of the disc is designed to produce a specified displacement profile. A displacement profile is a plot of the displacement of the follower as a function of the angle of rotation of the cam. The motion of a certain cam is given by the following equations:
y = 6[28-0.Ssinθ]/Ï€ for 0 y = 6 for Ï€/2 y = 6 - 3[1 - 0.5cos(3(θ - 2Ï€/3))] for 2Ï€/3 y = 3 for 4Ï€/3 y = 3 €“ 1.5(θ €“ 3(Ï€/2)/Ï€4)2 for 3Ï€/2 y = 0.75-0.75(1 - t-7(Ï€/4)/Ï€/4)2 for 7Ï€/4

Write a MATLAB program that plots the displacement profile for one revolution. First create a 100 element vector for θ, then by using a loop and conditional statements calculate the value of y for the corresponding values of θ. Once y and e are known, plot y vs. θ.