A cord is wound round the circumference of a solid cylinder of radius \( R \) and mass \( M \). ...

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A cord is wound round the circumference of a solid cylinder of radius \( R \) and mass \( M \). The axis of the cylinder is horizontal. \( A \) weight \( m g \) is attached to the end of the cord and falls from rest. After falling through a distance \( h \).
If the mass starts from rest and falls a distance \( h \), then its speed at that instant is
(1) proportional to \( R \)
(2) proportional to \( \frac{1}{R} \)
(3) proportional to \( \frac{1}{R^{2}} \)
(4) independent of \( R \)
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