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 solid cylinder and a bucket of mass $m$ is suspended from the rope. The linear acceleration of the bucket will be
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 solid cylinder and a bucket of mass $m$ is suspended from the rope. The linear acceleration of the bucket will be
- A
$a\, = \,\frac{{2mg}}{{M + 2m}}$
- B
$a\, = \,\frac{{mg}}{{M + m}}$
- C
$a\, = \,\frac{{mg}}{{M + 2m}}$
- D
$a\, = \,\frac{{Mg}}{{M + 2m}}$
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