Two identical uniform discs of mass \( m \) and radius \( r \) are arranged as shown in the figu...

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Two identical uniform discs of mass \( m \) and radius \( r \) are arranged as shown in the figure. If \( \alpha \) is the angular acceleration of the lower disc and \( a_{\mathrm{cm}} \) is acceleration of centre of mass of the lower disc, then relation among \( a_{\mathrm{cm}}, \alpha \) and \( r \) is
(1) \( a_{\mathrm{cm}}=\frac{\alpha}{r} \)
(2) \( a_{\mathrm{cm}}=2 \alpha r \)
(3) \( a_{\mathrm{cm}}=\alpha r \)
(4) none of these
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