Perform a simulation using MATLAB/Simulink that captures the dynamic behavior of dropping a racquetball from the...
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Perform a simulation using MATLAB/Simulink that captures the dynamic behavior of dropping a racquetball from the top of a building (similar to the Empire State Building), as shown below, using the linear air drag/friction model. The goal is to determine: a) the time that it takes the ball to hit the ground, and b) the velocity at which the ball hits the ground. You will need to perform the followings tasks: a. Derive a differential equation that describes the dynamic behavior of the ball, in terms of the variable y_1 and its derivatives. The tell-tale for y_1 is located at the top of the building. b. Implement a solution for the differential equation that you derived using Simulink. Incorporate a mechanism in the model so that the simulation stops when the ball hits the ground (I recommend that you do it without first looking at the Simulink implementation shown in the Reference Section. And then, once you are finished, you can look at it to confirm). Also use the "Display" icon. It displays the value of the time variable when the simulation stops. Also the clock icon produces the time variable during the simulation. c. Simulate the system. Make sure that you get the same results of the simulation shown in the Reference section. Provide a screen shot of your parameter file (i.e. a script file), and the Simulink diagram, using the "Display" icons. Perform a simulation using MATLAB/Simulink that captures the dynamic behavior of dropping a racquetball from the top of a building (similar to the Empire State Building), as shown below, using the linear air drag/friction model. The goal is to determine: a) the time that it takes the ball to hit the ground, and b) the velocity at which the ball hits the ground. You will need to perform the followings tasks: a. Derive a differential equation that describes the dynamic behavior of the ball, in terms of the variable y_1 and its derivatives. The tell-tale for y_1 is located at the top of the building. b. Implement a solution for the differential equation that you derived using Simulink. Incorporate a mechanism in the model so that the simulation stops when the ball hits the ground (I recommend that you do it without first looking at the Simulink implementation shown in the Reference Section. And then, once you are finished, you can look at it to confirm). Also use the "Display" icon. It displays the value of the time variable when the simulation stops. Also the clock icon produces the time variable during the simulation. c. Simulate the system. Make sure that you get the same results of the simulation shown in the Reference section. Provide a screen shot of your parameter file (i.e. a script file), and the Simulink diagram, using the "Display" icons.
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Related Book For
Process Dynamics and Control
ISBN: 978-1119385561
4th edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle
Posted Date:
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