A certain accelerometer consists essentially of a box

Chapter 19, Problem 19.123

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A certain accelerometer consists essentially of a box containing a mass-spring system with a known natural frequency of 2200 Hz. The box is rigidly attached to a surface which is moving according to the equation \(y = d_{m} \ \sin \ \mathrm{v}_{f}t\). If the amplitude \(z_{m}\) of the motion of the mass relative to the box times a scale factor \(v_{n} ^{2}\) is used as a measure of the maximum acceleration \(a_{m} = d_{m} \ v_{f} ^{2}\) of the vibrating surface, determine the percent error when the frequency of the vibration is 600 Hz.

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