The figure shows a rack-and-pinion gear in which a damping force and a spring force act against the rack. a. Determine the equivalent Inertia of the system using Kinetic Energy. b. Identify the equivalent rotational model of the system with the applied torque Tas the input variable and the angular displacement 0 as the output variable. Neglect any twist in the shaft. (Submit for Feedback in Connect) c. Convert the dynamic equation of the system to be written in term of x rather than e (ie, the torque Tis still the input variable but the linear displacement x is the output variable). What is the characteristic equation for each model? Comment on the expected behavior of the system whether the dynamic model is written terms of e or x.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The figure shows a rack-and-pinion gear in which a damping force and a spring force act against the rack.
a. Determine the equivalent Inertia of the system using Kinetic Energy.
b. Identify the equivalent rotational model of the system with the applied torque Tas the input variable and the angular displacement 0 as the output variable.
Neglect any twist in the shaft. (Submit for Feedback in Connect)
c. Convert the dynamic equation of the system to be written in term of x rather than 0 (ie, the torque Tis still the input variable but the linear displacement x is the
output variable). What is the characteristic equation for each model? Comment on the expected behavior of the system whether the dynamic model is written terms
of e or x.
Transcribed Image Text:The figure shows a rack-and-pinion gear in which a damping force and a spring force act against the rack. a. Determine the equivalent Inertia of the system using Kinetic Energy. b. Identify the equivalent rotational model of the system with the applied torque Tas the input variable and the angular displacement 0 as the output variable. Neglect any twist in the shaft. (Submit for Feedback in Connect) c. Convert the dynamic equation of the system to be written in term of x rather than 0 (ie, the torque Tis still the input variable but the linear displacement x is the output variable). What is the characteristic equation for each model? Comment on the expected behavior of the system whether the dynamic model is written terms of e or x.
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