A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is:

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F - f r = m a … i f r R = I α = m R 2 2 α … ( i i ) For pure rolling a = α R … ( i i i ) From i , ( i i ) and ( i i i ) F - m R α 2 = m α R F = 3 2 m R α α = 2 F 3 m R

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