In: Advanced Math
** NEED MATLAB**
design a cam with harmonic and cycloidal rise and 3-4-5 polynomial fall
specifications:
*Cycloidal rise (0◦ < θ < 80◦) from 0 mm to 20 mm
*Dwell (80◦ < θ < 100◦)
*Harmonic rise (100◦ < θ < 180◦) from 20 mm to 30 mm
*Dwell (180◦ < θ < 210◦)
*3-4-5 Polynomial fall (210◦ < θ < 300◦) from 30 mm to 0 mm
*Dwell (300◦ < θ < 360◦)
•the radius of the base circle is 40 mm, radius of follower is 5 mm, and cam is driven by a constant speed motor rotating counter-clockwise at 500 rpm with the above specifications
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1. Plot the displacement, velocity, accleration, and jerk profiles for one revolution
2. Plot the pressure angle as a function of θ (eccentricity is 0)
3. Plot cam contour, pitch curve, prime circle, and base circle (all on same plot)
4. Plot the prime circe and cam contour at various orientations (from θ =0◦ to θ =240◦. AND arrange 9 subfigures as a 3×3 matrix)