# (Project) Science Projects : Simple Harmonic Motion in a Spring-Mass System (Physics)

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Science Projects : Simple Harmonic Motion in a Spring-Mass System (Physics)

## Objective

In this science fair project you will investigate the mathematical relationship between the period (the number of seconds per bounce) of a spring and the load (mass) carried by the spring. Based on the data you collect, you will be able to derive the spring constant, as described in Hooke's Law, as well as the effective mass of the spring.

## Introduction

This project requires very simple materials to explore the physics of
periodic motion. All you need is a mini
Slinky® and some weights, such as small
id="IL_AD5">fishing
sinkers. The period of the Slinky
is the time it takes to go through one
down-and-up cycle when it is hung vertically from one end. The spring with
the weight is a **simple harmonic
oscillator,** which is a system that follows Hooke's law. **Hooke's law**
states that when the simple harmonic
oscillator is displaced from its equilibrium position, it experiences a
restoring force, **F,** proportional to the displacement, **x,** where **
k** is a positive constant:....