A mass \( m \) hangs with the help of a string wrapped around a pulley on a frictionless bearing...

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A mass \( m \) hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass \( m \) and radius \( R \). Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass \( m \), if the string does not slip on the pulley, is
(1) \( 3 g / 2 \)
(2) \( g \)
(3) \( 2 g / 3 \)
(4) \( \mathrm{g} / \mathrm{3} \)
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