Figure P4.66 shows a drive train with a spur-gear pair.

Chapter , Problem 4.66

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Figure P4.66 shows a drive train with a spur-gear pair. The first shaft turns N times faster than the second shaft. Develop a model of the system including the elasticity of the second shaft. Assume the first shaft is rigid, and neglect the gear and shaft masses. The input is the applied torque \(T_{1}\). The outputs are the angles \(\theta_{1}\) and \(\theta_{3}\).

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