During operation, a (100 mathrm{~kg}) reciprocating machine is subject to a force (F(t)=) (200 sin 60 t

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During operation, a \(100 \mathrm{~kg}\) reciprocating machine is subject to a force \(F(t)=\) \(200 \sin 60 t \mathrm{~N}\). The machine is mounted on springs of an equivalent stiffness of \(4.3 \times 10^{6} \mathrm{~N} / \mathrm{m}\). What is the machine's steady-state amplitude?

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