A uniform solid cylinder of mass $M$ and radius $R$ rotates about a frictionless horizontal axle. Two similar masses suspended with the help two ropes wrapped around the cylinder. If the angular velocity of the cylinder, after the masses fall down through distance $h$, will be
A uniform solid cylinder of mass $M$ and radius $R$ rotates about a frictionless horizontal axle. Two similar masses suspended with the help two ropes wrapped around the cylinder. If the angular velocity of the cylinder, after the masses fall down through distance $h$, will be
- A
$\frac{1}{R}\sqrt {8mgh/(M + 4m)} $
- B
$\frac{1}{R}\sqrt {8mgh/(M + m)} $
- C
$\frac{1}{R}\sqrt {mgh/(M + m)} $
- D
$\frac{1}{R}\sqrt {8mgh/(M + 2m)} $
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