Motion of a classical object with oscillating mass

TL;DR

This paper analyzes the motion of a classical object with an oscillating mass, revealing that it accelerates in all frames except the rest frame and exhibits non-harmonic periodic motion.

Contribution

It provides a detailed analysis of oscillating mass motion showing acceleration in all but the rest frame and clarifies the nature of its periodic but non-harmonic motion.

Findings

Object accelerates in all frames except the rest frame

Motion is periodic but not harmonic

No external force is required for the motion

Abstract

We examine the problem of motion of an oscillating mass object provided no external force is applied to it. Calculations directly lead to the conclusion that the body accelerates in each system of reference except for the rest reference frame. Although its motion is periodic, it bears no resemblance to harmonic oscillations.