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AP Physics 1
2.9 Circular Motion
2.7 Kinetic and Static Friction
2.5 Newton’s Second Law
2.2 Forces and Free-Body Diagrams
IntermediateFRQDrawing RepresentationsMathematicalProportional AnalysisConceptual17.5k
A 3D-style line drawing of a hollow open-topped vertical cylinder. A dashed vertical line runs perfectly down the center of the cylinder, representing the axis of rotation. A curved arrow labeled '\(\omega\)' loops around the top of this dashed central axis to indicate rotation. On the right inner wall of the cylinder, halfway down, a small rectangular block labeled '\(m\)' is resting against the inner surface. A horizontal dashed line connects the central axis to the block, with the label '\(R\)' placed above the dashed line to indicate the radius.
Figure 1. A block resting against the inside of a rotating cylinder.
A hollow vertical cylinder of radius \(R\) rotates about its central vertical axis. A small block of mass \(m\) is placed against the rough inner wall of the cylinder. The coefficient of static friction between the block and the wall is \(\mu_s\). The cylinder rotates at a constant angular speed \(\omega\), and the block moves with the cylinder without sliding down the wall.

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