A cord is wrapped on a pulley (disk) of mass \( M \) and radius \( R \) as shown in figure. To o...

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A cord is wrapped on a pulley (disk) of mass \( M \) and radius \( R \) as shown in figure. To one end of the cord, a block of mass
\( M \) is connected as shown and to other end in (a) a force of \( 2 \mathrm{Mg} \) and in (b) a block of mass \( 2 \mathrm{M} \). Let angular acceleration of the disk in \( A \) and \( B \) is \( \alpha_{A} \) and \( \alpha_{B} \), respectively, then (cord is not slipping on the pulley).
(1) \( \alpha_{A}=\alpha_{B} \)
(2) \( \alpha_{A}\alpha_{B} \)
(3) \( \alpha_{A}\alpha_{B} \)
(4) None of these
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