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AP Physics C: Mechanics
7.5 Simple and Physical Pendulums
AdvancedMCQMathematical19k
A uniform solid circular disk with center labeled C. A pivot point labeled P is positioned on the disk at a distance d above C along a vertical radial line. A dashed vertical axis passes through P. A straight radial line from center C to the outer boundary is labeled R. A curved arrow labeled \theta shows a small angular displacement of line PC from the vertical dashed axis. No other labels, lines, text, or axes appear.
A physical pendulum disk pivoted at distance d from its center.
A physical pendulum consists of a uniform solid disk of mass \(M\) and radius \(R\). A small pivot hole is drilled at a distance \(d\) from the center of the disk, allowing it to swing freely without friction in a vertical plane. Which of the following expressions represents the pivot distance \(d\) that minimizes the period of small-angle oscillations?

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