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Bouncing Balls: Handle Events and Discontinuities

CONTENTS:

Introduction

A ball is dropped from a given height h, dropping onto a hard surface, and bouncing back according to the restitution coefficient e. This example shows the event handling capabilities of SystemModeler.

In order to get the full experience of this example, you need the following:

A desktop Wolfram Language product; a free trial download is available at www.wolfram.com/mathematica/trial/
The BouncingBalls.nb notebook that came in the same bundle as this model

These pages show an overview of the example. For the full example, open the accompanying notebook BouncingBalls.nb.

View the model text for this model.

Analysis

Simulate with a large number of different initial heights h the ball is dropped from and show the bounces of the ball.

height

Varying the coefficient of restitution or the gravity shows different behavior.

restitutiongravity

Also see the balls bouncing in a 2D space in BouncingBalls2D.

Terms and Conditions of Use

Parameters (5)

g	Value: 9.81 Type: Real Description: gravity acceleration
nr	Value: 5 Type: Integer Description: number of balls
aInit	Value: zeros(nr, 2) Type: Real[nr,2] Description: initial acceleration
wallx	Value: 6 Type: Real Description: distance along the x-axis to the wall from the center
wally	Value: 10 Type: Real Description: distance along the y-axis to the wall from the center

BouncingBalls2D

Wolfram Language