APFIVE Transition To Pure Rolling Motion
A wheel of radius R and moment of inertia I initially rotating with angular velocity ω₀ is placed on a rough horizontal surface. If the wheel eventually stops slipping due to kinetic friction (with coefficient μ) and transitions to pure rolling, what distance does its center travel before slipping ceases?
A
I^2 ω₀^2/(M^2 g μ R^2)
B
I^2 R^2 ω₀^2/(2 μ g (I + M R^2)^2)
C
ω₀ R
D
I ω₀/(M R)
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