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The rope shown in figure is wound around...

The rope shown in figure is wound around a cylinder of mass `4 kg` and moment of inertia `0.02 kgm^2` about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is.
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A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

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