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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.4 Rotational Inertia
5.3 Torque
IntermediateMCQMathematicalConceptual22.1k
A schematic showing two side-by-side vertical unwinding setups suspended from a single horizontal ceiling line. The ceiling is represented by a horizontal line with short hatching lines above it. On the left, a vertical line representing a string descends from the ceiling and connects tangent to the left outer edge of a shaded circular disk representing the solid cylinder. On the right, a second vertical line descends from the ceiling and connects tangent to the left outer edge of an unshaded ring with an inner and outer circular boundary representing the thin cylindrical shell. Both cylinders have the same diameter. Beneath the left disk is the label 'Solid cylinder'. Beneath the right ring is the label 'Thin cylindrical shell'. No other labels, lines, text, or axes appear.
A solid cylinder and a thin cylindrical shell unwinding vertically from light strings.
A solid cylinder and a thin cylindrical shell, each having identical mass \(M\) and radius \(R\), are suspended vertically by light strings wrapped around their outer circumferences. The upper end of each string is attached to a rigid ceiling. Both cylinders are released from rest simultaneously and fall as the strings unwind without slipping. Which of the following correctly pairs the cylinder that has the greater downward linear acceleration with the cylinder whose supporting string experiences the greater tension during the descent?

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