A flat surface of a thin uniform disk \(A\) of radius \(R\) is glued to a horizontal table. Anot....

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A flat surface of a thin uniform disk \(A\) of radius \(R\) is glued to a horizontal table. Another thin uniform disk \(B\) of mass \(M\) and with the same radius \(R\) rolls without slipping on the circumference of \(A\), as shown in the figure. A flat surface of \(B\) also lies on the plane of the table. The center of mass of \(B\) has fixed angular speed \(\omega\) about the vertical axis passing through the center of \(A\). The angular momentum of \(B\) is \(n M \omega R^{2}\) with respect to the center of \(A\). Which of the following is the value of \(n\) ?
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