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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
IntermediateMCQGraphicalMathematicalProportional AnalysisConceptual21.8k
A line diagram of a rotational apparatus. A vertical cylindrical axle passes through the center of a long, thin horizontal rod. Two identical small rectangular sliders, each labeled \(m\), are mounted on the rod on opposite sides of the axle. A horizontal double-headed dimension line extends from the central axle to the center of the left slider, labeled \(r\). A matching horizontal double-headed dimension line extends from the central axle to the center of the right slider, labeled \(r\). A curved counterclockwise arrow near the top of the axle indicates rotation. The central axle has a vertical dashed centerline. No other labels, lines, text, or axes appear.
Rotational apparatus with two movable sliders at distance \(r\) from the central axle.
A student conducts an experiment to determine the unknown rotational inertia \(I_0\) of a rigid rod mounted on a low-friction vertical axle. Two identical small sliders, each of mass \(m\), are clamped to the rod at equal distances \(r\) on opposite sides of the axle. In each trial, the system is set into rotation such that it has the same constant angular momentum \(L\), and the period of rotation \(T\) is measured for different slider positions \(r\). Which of the following graphs should the student plot to obtain a linear relationship, and how can \(I_0\) be determined from the graph?

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