(Solution) - The stability of a motorcycle and rider is an important -(2025 Original AI-Free Solution)

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The stability of a motorcycle and rider is an important area for study because many motorcycle designs result in vehicles that are difficult to control [12, 13]. The handling characteristics of a motorcycle must include a model of the rider as well as one of the vehicle. The dynamics of one motorcycle and rider can be represented by a loop transfer function (Figure P6.4)

(a) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) and the denominator polynomial (s2 + 60s + 3400) are neglected.
(b) Calculate the actual range of acceptable K, account for all zeros and poles.
Figure P6.4
Non unity feedback system.