2026 F = ma Exam — Question 23 — Physics Guide

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F = ma (Final Problems)

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FMA-2026-23 · 2026 F = ma (AAPT)

2026 F = ma Exam — Question 23

Consider the infinitely repeating hexagonal sequence where the largest hexagon has side length 3a and is filled with mass. Inside it, a smaller hexagon √ of side length a is rotated 30◦ clockwise and cut out. Then, an even smaller hexagon of side length a/ 3 is rotated again by 30◦ clockwise and filled. This pattern continues infinitely. Let I1 be the moment of inertia of this 2D figure about an axis through its center of √ mass, perpendicular to its plane P∞and nI2 be1the moment of inertia of a regular hexagon with side length 3a. What is I1 /I2 equal to? ( n=0 r = 1−r for |r| < 1) √a 3 √ — Source: Question 23, 2026 F = ma Exam, © 2026 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.

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