A uniform bar of mass $m = 6$ kg and Length $L = 1$ m, pivots at point O and is supported by a spring at point B of constant $K = 190000$ N/m, and has a damper at point A of constant $c = 200$ Ns/m as shown in the figure. The point G is subjected to a sinusoidal force $F_0 \sin \omega t$, $F_0 = 1400$N. Determine the frequency $\omega$ that will yield the greater amplitude of vibration.
75 rad/s
220 rad/s
178 rad/s
162 rad/s