Oscillation of a Mass-Spring System as a Model for Lattice Vibration

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration considers a system of two blocks and three springs as a model for lattice vibration of atoms in a one-dimensional crystal. You can vary the block masses, spring constants, initial displacements and initial velocities. The darker the color of the block, the heavier it is. The darker the spring, the stiffer it is. The displacements and velocities of the two blocks are plotted as functions of time.

Contributed by: Miya Uenaka, Hannah Hart and Joshua Paul Steimel (August 27)
Open content licensed under CC BY-NC-SA


The system of two masses and three springs connected to two walls can be described by two coupled equations:



The solutions determine the positions and velocities of the masses.


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.