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A disc shaped pulley of mass 'm'=4 kg an...

A disc shaped pulley of mass `'m'=4 kg` and radius `R=0.5m` can rotate freely about its center. A block of mass `M=2kg` hangs from the pulley through is massless string that is tightly wrapped around the pulley. When the system is released, there is no slipping between pulley and string.

`(a)` Calculate the angular accelerating of the pulley
`(b)` Calculate the tension in the string

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