---
title: "A mass is attached to the end of a spring and set into simple harmonic motion with an amplitude \\( A \\) on a horizontal frictionless surface. Determine the following in terms of only the variable \\( A \\)."
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url: "https://nerd-notes.com/ubq/91403/"
date_modified: "2026-03-11T23:38:15+00:00"
---

# A mass is attached to the end of a spring and set into simple harmonic motion with an amplitude \( A \) on a horizontal frictionless surface. Determine the following in terms of only the variable \( A \).

A mass is attached to the end of a spring and set into simple harmonic motion with an amplitude \( A \) on a horizontal frictionless surface. Determine the following in terms of only the variable \( A \).

**Part a)** Magnitude of the position (in terms of \( A \)) of the oscillating mass when its speed is \( 50\% \) of its maximum value. *(3 points)*

**Part b)** Magnitude of the position (in terms of \( A \)) of the oscillating mass when the elastic potential energy of the spring is \( 50\% \) of the total energy of the oscillating system. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/91403/*