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AP Physics 1
5.6 Newton’s Second Law in Rotational Form
5.3 Torque
IntermediateMCQProportional Analysis16.9k
Top-down view of a door with applied forces at various distances from the hinge.
Top-down view of a door with applied forces at various distances from the hinge.
A uniform door of mass \(M\) and length \(L\) is initially at rest and is free to rotate about a vertical axis through its hinges. A student applies a constant force of magnitude \(F\) to the door. The force is always directed perpendicular to the door's surface. In Trial 1, the force is applied at the outer edge of the door, a distance \(L\) from the hinges. In Trial 2, the force is applied at the door's midpoint, a distance \(L/2\) from the hinges. In Trial 3, the force is applied at a distance \(L/4\) from the hinges. Which of the following correctly ranks the magnitude of the door's angular acceleration \(\alpha\) during each trial?

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