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  4. 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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Q. 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 isPhysics Question Image

System of Particles and Rotational Motion

Solution:

image
$a=r \alpha, m=4 kg$
$ 20+f=4 a $
$ 20 r-f r=0.02 \alpha $
$ \Rightarrow a =6.7\, m / s ^{2} $