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AP Physics C: Mechanics
2.10 Circular Motion
2.5 Newton’s Second Law
IntermediateMCQGraphicalMathematicalConceptual24k
A grayscale line diagram showing a conical pendulum setup. At the top, a horizontal ceiling segment has short diagonal hatching above it. From a fixed pivot point on the ceiling, a vertical dashed line extends straight downward to the center of a horizontal dashed ellipse representing the circular path. A solid line of length \(L\) extends from the pivot downward and to the right at an angle \(\theta\) relative to the vertical dashed line, terminating at a solid shaded circle representing the bob. A curved arc with an arrow between the vertical dashed line and the solid line is labeled \(\theta\). The solid line has a label \(L\) placed along its middle segment. A small directional arrow on the front rim of the dashed ellipse indicates horizontal circular motion. No other labels, lines, text, or axes appear.
A conical pendulum of length \(L\) revolving at a constant angle \(\theta\).
A small sphere of mass \(m\) is attached to a light string of length \(L\) to form a conical pendulum. The sphere revolves in a horizontal circle at constant speed such that the string maintains a constant angle \(\theta\) with the vertical, where \(0 \le \theta < 90^\circ\). Which of the following graphs best represents the period \(T\) of the sphere's circular motion as a function of the angle \(\theta\)?

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