A (20 mathrm{~kg}) block is connected to a moveable support through a spring of stiffness (1 times

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A \(20 \mathrm{~kg}\) block is connected to a moveable support through a spring of stiffness \(1 \times 10^{5} \mathrm{~N} / \mathrm{m}\) in parallel with a viscous damper of damping coefficient \(600 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\). The support is given a harmonic displacement of amplitude \(25 \mathrm{~mm}\) and frequency \(40 \mathrm{rad} / \mathrm{s}\). An accelerometer of natural frequency \(25 \mathrm{~Hz}\) and damping ratio 0.2 is attached to the block. What is the output of the accelerometer in \(\mathrm{mm} / \mathrm{s}^{2}\) ?

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