Transition To Pure Rolling Motion

Question

A wheel of mass M, radius R, and moment of inertia I is rotating with an initial angular velocity ω₀. The wheel is placed on a rough horizontal surface with a coefficient of kinetic friction μ. It initially slips but eventually rolls without slipping. What is the distance traveled by the center of the wheel before it begins to roll without slipping?

Accepted Answer

I^2 R^2 ω₀^2/(2 μ g (I + M R^2)^2)

Answer

I ω₀/(M R)

Answer

I^2 ω₀^2/(M^2 g μ R^2)

Answer

ω₀ R

Transition To Pure Rolling Motion

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