Question: A (40 mathrm{~kg}) machine is attached to a base through a spring of stiffness (2 times 10^{4} mathrm{~N} / mathrm{m}) in parallel with a dashpot

A $40 \mathrm{~kg}$ machine is attached to a base through a spring of stiffness $2 \times 10^{4} \mathrm{~N} / \mathrm{m}$ in parallel with a dashpot of damping coefficient $150 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}$. The base is given a time-dependent displacement $0.15 \sin 30.1 \mathrm{t} \mathrm{m}$. Determine the amplitude of the absolute displacement of the machine and the amplitude of displacement of the machine relative to the base.

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