Develop the equivalent rotational model of the system with, Mechanical Engineering

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Develop the equivalent rotational model of the system with

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Show transcribed image text This figure shows a rack-and-pinion gear in which a damping force and a spring force act against the rack.

1. Develop the equivalent rotational model of the system with the applied torque T as the input variable and the angular displacement theta as the output variable. Neglect any twist in the shaft.

2. What is the natural frequency of the system?

3. What is the damping ratio of the system?

4. What is the time constant?

5. What is the damped natural frequency?

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