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Forced Damped Harmonic Oscillator

Q- A simple fatigue testing machine has a moving base that is 15kg and is constrained to only move vertically. The base is supported by a rubber block with a spring constant, k = 18 kN/m and a viscous damping constant of c = 200N.s/m. A rotating mass which is part of the base creates a harmonic force of 60N.

a) If the mass is rotated at 1500 rpm, calculate the amplitude of vibration of the base

b) At what speed is maximum amplitude attained and what is the amplitude at this speed?

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