2024 F = ma Exam — Question 10 — Physics Guide

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F = ma (First 10)

Dynamics

FMA-2024-10 · 2024 F = ma (AAPT)

2024 F = ma Exam — Question 10

A block of mass m is connected to the walls of a frictionless box by two massless springs with relaxed lengths ℓ and 2ℓ, and spring constants k and 2k respectively. The length of the box is 3ℓ. The system rotates with a constant angular velocity ω about one of its walls. ω m ℓ, k 2ℓ, 2k Suppose the block stays at a constant distance r from the axis of rotation, without touching either of the walls. What is the value of r? — Source: Question 10, 2024 F = ma Exam, © 2024 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.

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F = ma problems are © the American Association of Physics Teachers (AAPT) and the U.S. Physics Team, the original source, and are used with permission. Problems shown here are adaptations: they have been reformatted by Physics Guide into separate question and answer-choice pieces for online multiple-choice practice. Physics Guide is an independent student project and is not affiliated with, endorsed by, operated by, or supported by AAPT, F = ma, USAPhO, or the U.S. Physics Team.

AP Physics 1 and AP Physics C (Mech) problems are adapted from OpenStax College Physics for AP® Courses 2e and University Physics Volume 1, © OpenStax (Rice University), licensed under CC BY 4.0. Problem text is reproduced exactly; correct answers come from the OpenStax answer keys. For written-answer problems, the incorrect answer choices were written by Physics Guide. Physics Guide is not affiliated with or endorsed by OpenStax or the College Board.