A (300 mathrm{~kg}) compressor is placed at the end of a cantilever beam of length (1.8 mathrm{~m}),
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A \(300 \mathrm{~kg}\) compressor is placed at the end of a cantilever beam of length \(1.8 \mathrm{~m}\), elastic modulus \(200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\), and moment of inertia \(1.8 \times 10^{-5} \mathrm{~m}^{4}\). When the compressor operates at \(1000 \mathrm{rpm}\), it has a steady-state amplitude of \(1.2 \mathrm{~mm}\). What is the compressor's steady-state amplitude when a \(30 \mathrm{~kg}\) absorber of damping coefficient \(500 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\) and stiffness \(1.3 \times 10^{5} \mathrm{~N} / \mathrm{m}\) is added to the end of the beam?
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