---
title: "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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url: "https://nerd-notes.com/ubq/124036/"
date_modified: "2026-09-28T13:30:14+00:00"
---

# 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 \(\theta\)?

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 \(\theta\)?

![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.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790602213-w8rMN3.jpg)

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124036/*