The wheel of radius (r) rolls to the left without slipping and, at the instant considered, the

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The wheel of radius \(r\) rolls to the left without slipping and, at the instant considered, the center \(O\) has a velocity \(\mathbf{v}_{O}\) and an acceleration \(\mathbf{a}_{O}\) to the left. Determine the acceleration of points \(A\) and \(C\) on the wheel for the instant considered.

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