Free Response Part 1 Spring-mass systems

Intro to Vibrations

This module introduces vibrations using the simple model of a single degree of freedom system represented by a spring-mass. Equations of motion for a spring-mass system are developed and concepts such as natural frequency and phase differences are discussed. Examples of analogous systems that can be represented using a spring-mass model are also discussed. Numerical examples, interactive plots, and steps to create MapleSim simulations are included to enhance the learning experience.

Keywords & Topics:
Oscillations, spring-mass system, natural frequency, phase difference, simple pendulums, spring-mass analogs
Main Topic: Intro to Vibrations

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Maple Document
Explore the theory with textbook descriptions, live math, and interactive components. If you don’t have Maple, you can download the free Maple Player.

Preview the Maple Document

MapleSim Models
Reinforce the concepts and visualize the physical behaviours of the system.

Preview - Spring Pendulum

Assessment Questions
Assess student understanding with a set of questions that you can use directly within Möbius Assessment, available from the Maplesoft spin-off company DigitalEd.

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