(Solution) - A 27 kg disk is attached with an eccentricity e 150 m -(2025 Original AI-Free Solution)

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A 27-kg disk is attached with an eccentricity e = 150?m to the midpoint of a vertical shaft AB which revolves at a constant angular velocity ?f. Knowing that the spring constant k for horizontal movement of the disk is 580kN/m, determine
(a) The angular velocity ?f at which resonance will occur,
(b) The deflection r of the shaft when ?f = 1200 rpm.