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 cylinderrolls without slipping, then the linear acceleration of its centre of mass is
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a
6.7 m/s2
b
10.0 m/s2
c
3.3 m/s2
d
none of the above
answer is A.
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Detailed Solution
a = rα, m = 4 kg20+f = 4a20r -fr = 0.02α⇒a = 6.7 m/s2