First slide
Rolling motion
Question

The rope shown in figure is wound around a cylinder of mass 4 kg and moment of inertia 0.02 kgm2 about the cylinder axis. If the cylinder
rolls without slipping, then the linear acceleration of its centre of mass is

Moderate
Solution

a = , m = 4 kg

20+f = 4a

20r  -fr = 0.02α

a = 6.7 m/s2

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