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

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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 \( n \) ?
(a) 2
(b) 5
(c) \( 7 / 2 \)
(d) \( 9 / 2 \)
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