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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.4 Rotational Inertia
5.3 Torque
IntermediateMCQMathematicalProportional AnalysisConceptual19k
Four disk configurations with indicated axle positions and applied forces.
Four disk configurations with indicated axle positions and applied forces.
Four identical uniform solid disks, each of mass \(M\) and radius \(R\), are mounted on frictionless fixed axles perpendicular to the plane of each disk. External forces of magnitude \(F_0\) or \(2F_0\) act in the plane of the disks as described in the table.

DiskAxle LocationForce MagnitudePoint of Application and Direction
1Center\(F_0\)Tangent to outer edge at radius \(R\)
2Rim\(2F_0\)Perpendicular to the diameter through the axle, at the opposite rim
3Rim\(F_0\)Perpendicular to the diameter through the axle, at the opposite rim
4Center\(F_0\)Tangent to an inner track at radius \(\dfrac{R}{2}\)

Which of the following correctly ranks the magnitudes of the initial angular accelerations \(\alpha_1\), \(\alpha_2\), \(\alpha_3\), and \(\alpha_4\) of the disks?

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