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Create a mathematical model of the follower displacement with your design parameters using Matlab. Part D: Matlab Cam Mathematical Model Create a mathematical model of

Create a mathematical model of the follower displacement with your design parameters using Matlab.

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Part D: Matlab Cam Mathematical Model Create a mathematical model of the follower displacement with your design parameters using Matlab. Dwell Rise Dwell12 Fall 1 2 min e, t trise tfall tdw tdw2 time, cam angle displacement . to 4, t4 , t2 , t 1, t Figure D.1: Example of displacement chart for a cam/ follower Design parameters (fixed according to your design): rise time first dwell time second dwell time fall time maximum follower displacement minimum follower displacement = trise = tdwell = tdwell2 = tfall =ymax = ymin (Base circle of cam) Variables (they change during operation): cam angle, time (abscissa) follower displacement (ordinate) Tools for mathematical modeling Equation of a straight line: y= mx+yo Linear velocity = Linear displacement / time: v= Ay/At Angular velocity =Angular displacement / time: w=A0/At Conversion degrees/s to rpm Therefore, the mathematical model for the follower displacement is: During Rise: to Figure D.3: Example of output of the Matlab program in the Command Window. Submission: Matlab (.m) file File (.pdf) showing plot, with Matlab script and the Command Window output. Part D: Matlab Cam Mathematical Model Create a mathematical model of the follower displacement with your design parameters using Matlab. Dwell Rise Dwell12 Fall 1 2 min e, t trise tfall tdw tdw2 time, cam angle displacement . to 4, t4 , t2 , t 1, t Figure D.1: Example of displacement chart for a cam/ follower Design parameters (fixed according to your design): rise time first dwell time second dwell time fall time maximum follower displacement minimum follower displacement = trise = tdwell = tdwell2 = tfall =ymax = ymin (Base circle of cam) Variables (they change during operation): cam angle, time (abscissa) follower displacement (ordinate) Tools for mathematical modeling Equation of a straight line: y= mx+yo Linear velocity = Linear displacement / time: v= Ay/At Angular velocity =Angular displacement / time: w=A0/At Conversion degrees/s to rpm Therefore, the mathematical model for the follower displacement is: During Rise: to Figure D.3: Example of output of the Matlab program in the Command Window. Submission: Matlab (.m) file File (.pdf) showing plot, with Matlab script and the Command Window output

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