Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration 'a' perpendicular to the axis of the cylinder. What is F_frictionat point P ? It is assumed that the cylinder does not slip.

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For no slipping at P a 1 + α R = a → (1) f = Ma 1 = M a - α R → (2) f. R = I · α = MR 2 2 · α → (3) Solve the equations (2) and (3) f = Ma 3 ​

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