When the pump at the end of the beam of Figure P4.76 operates at \(1860 \mathrm{rpm}\), it is noted that the phase angle between the excitation and response is \(18^{\circ}\). What is the steady-state amplitude of the pump if it has a rotating unbalance of \(0.8 \mathrm{~kg} \cdot \mathrm{m}\) and operates at \(1860 \mathrm{rpm}\) ? Assume hysteretic damping.

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E 200 x 109 N/m I = 2.4 104 m 215 kg FIGURE P4.76 3.1 m