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AP Physics C: Mechanics
7.5 Simple and Physical Pendulums
7.3 Representing and Analyzing SHM
AdvancedMCQGraphicalMathematicalConceptual21.8k
A grayscale schematic of a physical pendulum. A fixed horizontal ceiling is shown at the top with diagonal hatching. A frictionless pivot point is marked with a small solid circle attached to the ceiling. Hanging from the pivot is a smooth, irregular rigid body extending downward. A dashed vertical line extends downward from the pivot to represent the equilibrium position. A straight line connects the pivot to a crosshair marked CM inside the body, located at a distance labeled d from the pivot. The line of the pendulum is displaced to the right of the vertical by an angle labeled \theta_0. A curved directional arrow labeled \omega indicates angular velocity about the pivot. No other labels, lines, text, or axes appear.
Physical pendulum pivoted at a distance \(d\) above its center of mass.
A physical pendulum consists of a rigid body of mass \(M\) and rotational inertia \(I\) pivoted about a frictionless horizontal axis located a distance \(d\) from its center of mass. The pendulum is released from rest at an initial angular displacement \(\theta_0\), where \(0 < \theta_0 < \pi\), and oscillates with mechanical energy \(E\). Which of the following best describes the qualitative shape of the graph of angular velocity \(\omega\) versus angular displacement \(\theta\) over one complete cycle, and how that shape deforms as \(\theta_0\) approaches \(\pi\)?

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