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F = ma (11–17)
Simple Harmonic Motion
FMA-2020A-12 · 2020A F = ma (AAPT)

2020 F = ma Exam A — Question 12

A point mass m is glued inside a massless hollow rod of length L at an unknown location. When the rod is pivoted at one end, the period of small oscillations is T . When the rod is pivoted at the other end, the period of small oscillations is 2T . How far is the mass from the center?
Source: Question 12, 2020 F = ma Exam A, © 2020 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.