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AP Physics C: Mechanics
6.5 Rolling
AdvancedMCQDrawing RepresentationsConceptual22.2k
Spool resting on a horizontal floor with string pulled horizontally from the bottom of the inner hub.
Spool resting on a horizontal floor with string pulled horizontally from the bottom of the inner hub.
A spool of total mass \(M\), outer radius \(R\), and rotational inertia \(I\) about its central axis rests on a rough horizontal surface.

A light string wrapped around an inner hub of radius \(r\) (where \(r < R\)) is pulled horizontally to the right with a constant tension \(\vec{T}\) such that the string unwinds from the bottom of the hub, a distance \(r\) below the central axis. The spool rolls without slipping along the surface. Which of the following extended free-body diagrams best represents the forces acting on the spool and their relative magnitudes?

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