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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
AdvancedMCQDrawing RepresentationsMathematicalConceptual24.5k
A schematic line drawing of a person sitting upright on a circular stool supported by a central vertical shaft mounted to a base. A vertical dashed line passes along the axis of rotation through the shaft and stool. The person holds the horizontal handles of a bicycle wheel with both arms extended. The wheel is positioned horizontally with its axle oriented vertically along the dashed line. A curved arrow drawn above the wheel indicates counterclockwise rotation when viewed from above. An upward vertical vector arrow labeled \vec{L}_0 extends along the vertical axle above the wheel. No other labels, lines, text, or axes appear.
Student seated on a frictionless rotating stool holding a spinning wheel.
A student sits at rest on a stool that can rotate freely with negligible friction about a vertical axis while holding a bicycle wheel that is spinning rapidly. The axle of the wheel is initially held vertical so that its angular momentum vector has magnitude \(L_0\) and points vertically upward. The student then inverts the wheel \(180^\circ\) so that its axle remains vertical but its angular momentum vector now points vertically downward with magnitude \(L_0\). Which of the following vector diagrams correctly represents the angular momentum of the wheel (\(\vec{L}_{\text{wheel}}\)), the student-stool combination (\(\vec{L}_{\text{person}}\)), and the complete student-stool-wheel system (\(\vec{L}_{\text{total}}\)) before and after the wheel is inverted?

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