If (m_{2}=10 mathrm{~kg}, k_{2}=1000 mathrm{~N} / mathrm{m}), and (F(t)=150 sin omega t mathrm{~N}), for what values of

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If \(m_{2}=10 \mathrm{~kg}, k_{2}=1000 \mathrm{~N} / \mathrm{m}\), and \(F(t)=150 \sin \omega t \mathrm{~N}\), for what values of \(\omega\) will the following resonances exist?

(a) Primary resonance

(b) Superharmonic resonance

(c) Subharmonic resonance

(d) Combination resonance Refer to the systems of Figure P12.32. The spring of stiffness \(k_{2}\) is a linear spring.
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