A fatigue-testing machine for electronic components consists of a platform with an unbalan...

A fatigue-testing machine for electronic components consists of a platform with an unbalanced motor. Assume that the rotor in the motor spins at ω0 = 3000 rpm, the mass of the platform is mp = 20 kg, the mass of the motor is mm = 15 kg, the eccentric mass is mu = 0.5 kg, and the equivalent stiffness of the platform suspension is k = 5 × 106 N/m. For the testing machine, the distance ε between the spin axis of the rotor and the location at which mu is placed can be varied to obtain the desired vibration level. Calculate the range of values of ε that would provide amplitudes of the particular solution ranging from 0.1 mm to 2 mm.