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F = ma (Final Problems)
Simple Harmonic Motion
FMA-2021-23 · 2021 F = ma (AAPT)

2021 F = ma Exam — Question 23

An imperfect spring has a restoring force F that depends on the displacement x from equilibrium as in the graph shown below. F x −d d The slope of the curve for x < −d and x > d is a constant −k. A mass m is attached to the spring and released from rest at the position x = A, where A > d. What is the period of the subsequent motion? r   m 2d
Source: Question 23, 2021 F = ma Exam, © 2021 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.