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Q.

A small pulley of radius 20 cm and moment of inertia 0.32 kg-m2  is used to hang a 2 kg mass with the help of massless string. If the block is released, for no slipping condition find the acceleration of the block (in m/s2 )

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Detailed Solution

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TR=/α,  TR=/aR    or  T=/aR2    Mg−T=Maor     Mg=Ma+T=(M+/R2)aor            a=Mg(M+1R2)= 2x102+0.320.04=2m/s2

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