---
title: "At time \\( t = 0 \\), an object is released from rest at position \\( x = +x_{\\text{max}} \\) and undergoes simple harmonic motion along the \\( x \\)-axis about the equilibrium position of \\( x = 0 \\). The period of oscillation of the object is \\( T \\). Which of the following expressions is equal to the object’s position at time \\( t = \\dfrac{T}{8} \\)?"
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url: "https://nerd-notes.com/ubq/105430/"
date_modified: "2025-11-27T05:35:30+00:00"
---

# At time \( t = 0 \), an object is released from rest at position \( x = +x_{\text{max}} \) and undergoes simple harmonic motion along the \( x \)-axis about the equilibrium position of \( x = 0 \). The period of oscillation of the object is \( T \). Which of the following expressions is equal to the object’s position at time \( t = \dfrac{T}{8} \)?

At time \( t = 0 \), an object is released from rest at position \( x = +x_{\text{max}} \) and undergoes simple harmonic motion along the \( x \)-axis about the equilibrium position of \( x = 0 \). The period of oscillation of the object is \( T \). Which of the following expressions is equal to the object’s position at time \( t = \dfrac{T}{8} \)?

- **A.** \[ \dfrac{x_{\text{max}}}{8} \]
- **B.** \[ \dfrac{x_{\text{max}}}{2} \]
- **C.** \[ \dfrac{x_{\text{max}}}{\sqrt{2}} \]
- **D.** \[ \dfrac{x_{\text{max}}}{\pi} \]
- **E.** \[ \dfrac{x_{\text{max}}}{2\pi} \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/105430/*