(Solution) - Figure shows a rack and pinion gear in which a damping force -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Figure shows a rack-and-pinion gear in which a damping force and a spring force act against the rack. Develop the equivalent rotational model of the system with the applied torque T as the input variable and the angular displacement ? is the output variable. Neglect any twist in the shaft.