The spring attachment point \(B\) is given a horizontal motion \(x_{B}=\) \(b \cos \omega t\). Determine the critical driving frequency \(\omega_{c}\) for which the oscillations of the mass \(m\) tend to become excessively large. Neglect the friction and mass associated with the pulleys. The two springs have the same stiffness \(k\).

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T T Neutral position xB = b cos cot B k www Equilibrium position X kx (Dynamic forces only) www m