Question: A spring-mass system with (m=10 mathrm{~kg}) and (k=5000 mathrm{~N} / mathrm{m}) is subjected to a harmonic force of amplitude (250 mathrm{~N}) and frequency (omega). If

A spring-mass system with \(m=10 \mathrm{~kg}\) and \(k=5000 \mathrm{~N} / \mathrm{m}\) is subjected to a harmonic force of amplitude \(250 \mathrm{~N}\) and frequency \(\omega\). If the maximum amplitude of the mass is observed to be \(100 \mathrm{~mm}\), find the value of \(\omega\).

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