A cylinder of mass $M$ and radius $r$ is mounted on a frictionless axle over a well. A rope of negligible mass is wrapped around the cylinder and a bucket of mass $m$ is suspended from the rope. The linear acceleration of the bucket will be

804-4

  • A

    $\frac{{Mg}}{{M + 2m}}$

  • B

    $\frac{{2Mg}}{{m + 2M}}$

  • C

    $\frac{{Mg}}{{2M + m}}$

  • D

    $\frac{{2mg}}{{M + 2m}}$

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