For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where alpha = to the angular accleration. Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no centripetal acceleration (towards the centroid of disk) when the disk is rolling without slippage?

College Physics
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Chapter10: Rotational Motion And Angular Momentum
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Problem 2PE: Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is...
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For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha)

where alpha = to the angular accleration.

Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no centripetal acceleration (towards the centroid of disk) when the disk is rolling without slippage?

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