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AP Physics C: Mechanics
6.5 Rolling
AdvancedMCQMathematical20.5k
A sphere of radius \(r\) at the apex of a vertical circular track of radius \(R\).
A sphere of radius \(r\) at the apex of a vertical circular track of radius \(R\).
A small block of negligible dimensions slides without friction along a track that includes a vertical circular loop of radius \(R = 1.10 \text{ m}\). The minimum speed of the block at the top of the loop to maintain contact with the track is \(3.3 \text{ m/s}\). The block is replaced by a bowling ball modeled as a uniform solid sphere of mass \(M = 5.0 \text{ kg}\) and radius \(r = 0.10 \text{ m}\) that rolls without slipping along the track. What is the minimum speed of the center of mass of the bowling ball at the top of the loop such that the ball maintains contact with the track?

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