The stiffness of spring (k) used in the Hartnell governor as shown in the given Fig. 84

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The stiffness of spring \(k\) used in the Hartnell governor as shown in the given Fig. 84 ( \(F_{1}\) and \(F_{2}\) are centrifugal forces at maximum and minimum radii of rotation \(r_{1}\) and \(r_{2}\) respectively) is

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