A uniform solid cylindrical roller of mass m and R is rolled on the ground, without slipping, by applying a constant horizontal force F . Find angular acceleration of cylinder.

Question

A uniform solid cylindrical roller of mass m and R is rolled on the ground, without slipping, by applying a constant horizontal force F . Find angular acceleration of cylinder., F m R, 2 F m R, 2 F 3 m R, F 3 m R

MARKS App · Accepted Answer

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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