A sensitive computer is being transported by rail in a boxcar. Accelerometer measurements indicate that when the

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A sensitive computer is being transported by rail in a boxcar. Accelerometer measurements indicate that when the train is traveling at its normal speed of \(85 \mathrm{~m} / \mathrm{s}\) the dominant component of the boxcar's vertical acceleration is \(8.5 \mathrm{~m} / \mathrm{s}^{2}\) at a frequency of \(36 \mathrm{rad} / \mathrm{s}\). The crate in which the computer is being transported is tied to the floor of the boxcar. What is the required stiffness of an isolator with a damping ratio of 0.05 such that the acceleration amplitude of the \(60 \mathrm{~kg}\) computer is less than \(0.5 \mathrm{~m} / \mathrm{s}^{2}\) ? With this isolator, what is the displacement of the computer relative to the crate?

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