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AP Physics C: Mechanics
5.3 Torque
IntermediateMCQMathematicalConceptual12.9k
A uniform horizontal beam of length L pivoted at the left end with four applied forces.
A uniform horizontal beam of length L pivoted at the left end with four applied forces.
A uniform horizontal beam of length \(L\) is attached to a wall by a pivot at its left end (\(x = 0\)). Four separate forces of equal magnitude \(F\) are applied individually to the beam in the vertical plane as specified in the table:

ForcePositionAngle with Beam
\(F_1\)\(x = \dfrac{1}{2}L\)\(90^\circ\)
\(F_2\)\(x = \dfrac{3}{4}L\)\(60^\circ\)
\(F_3\)\(x = L\)\(45^\circ\)
\(F_4\)\(x = \dfrac{4}{5}L\)\(90^\circ\)

Which of the following correctly ranks the magnitudes of the torques \(\tau_1\), \(\tau_2\), \(\tau_3\), and \(\tau_4\) exerted by each force about the pivot from greatest to least?

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