## 2D Projectile Motion Model #1 – a virtual tactical shooting range

Hi Folks, As a kid was fascinated with high power rifles, sniper rifles, cannons and in general, fast projectiles.  I’ve been brainwashed with all sorts of urban legends about how far an AK 47 or a pistol can shoot or how thick a steel metal plate a bullet can penetrate at various distances. I’ve also watched some documentary about snipersContinue Reading

## Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#3

Here is the third part of a tutorial in both elementary dynamics and numerical methods. It is written at a basic level and it shows you how to set up a dynamic model for numerical solving of simple differential equations. The dynamic model makes use of an infinite loop, which make the calculations advance in time. Instead of a large tableContinue Reading

## Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#2

Here is the second part of a tutorial in both elementary dynamics and numerical methods. It is written at a  basic level and it shows you how to solve a system of difference equations in an Excel table. It also starts to explain how to animate the model. [sociallocker][/sociallocker] A casual approach to numerical modeling – the Spring-Mass-Damper System – part 2.Continue Reading

## Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#1

Here is the first part of a casual tutorial in both elementary dynamics and numerical methods. It is written at a very basic level and it shows you how to solve a system of difference equations with a pencil and a paper and perhaps a pocket calculator to speed things up. A casual approach to numerical modeling – the Spring-Mass-Damper-System –Continue Reading

## Instant 3D-2D Perspective Mapping – the Navigator Functions – a convenient pair of user defined functions

This tutorial explains a pair of important user defined functions, the “Navigator_u()” and the “Navigator_v()”. These functions save the user nine columns of formulas by calculating the effects of: 3-dimensional shift, rotations around the three axes of coordinates and 3D-2D perspective mapping. These user defined functions are also easy to use compared to writing all the perspective mapping equations fromContinue Reading

## 3D-2D Perspective Mapping in Excel – part #2

The first half of this presentation dealt with mapping a 3D scene onto a 2D surface which can be a computer screen, a projection screen or the retina of the eye. By doing so we preserve much of the feel of depth of the scene. Of course when we look at an picture we get only part of the feelContinue Reading

## 3D-2D Perspective Mapping in Excel – part #1

In computer graphics we often need to be able to display a three-dimensional image in two dimensions and preserve the perspective appearance. If we walk on a straight road, it appears that the road narrows with the distance. This is the perspective effect and it is a result of mapping a three-dimensional image on a two-dimensional surface (i.e. a computerContinue Reading

## Tutorial – a Static Lissajous Emulator

Hi there, this is a tutorial explaining the construction of a very basic Lissajous emulator in Excel. It’s supposed to be very easy to understand at the high school level. Good luck, George [sociallocker][/sociallocker] A Lissajous emulator in Excel by George Lungu   Introduction: Jules A. Lissajous was a French mathematician from the 19th century – He wanted to visualizeContinue Reading

## Introduction to Numerical Methods – Basic Filters #2

This post shows the steps for building a first model of a single pole RC high pass filter (HPF) in Excel based on numerical solution using the finite difference method. It is quite elementary to understand, try to go through the proof regardless of your background. [sociallocker][/sociallocker] Basic Filters – Part 2 (1-Pole High Pass Filter) Numerical Solutions to Differential EquationsContinue Reading

## Introduction to Numerical Methods – Basic Filters #1

This post shows the steps for building a first model of a single pole RC low pass filter (LPF) in Excel based on numerical solution using the finite difference method. It is quite easy to understand, try to go through the proof regardless of your background. [sociallocker][/sociallocker] Basic Filters – Part 1 (1-Pole Low Pass Filter) – Numerical Solutions to Differential Equations (Finite DifferenceContinue Reading

## Dynamic Lissajous Emulator

This is a dynamic Lissajous emulator in the sense that the waveform is obtained by combining 2 time varying sinusoidal waves with different frequencies. [sociallocker][/sociallocker]Continue Reading

## Static Lissajous Emulators (2D and 3D)

This is a static Lissajous emulator in the sense that the waveform is obtained by combining 2 static sinusoidal waves with different frequencies. As a parenthesis, I will be preparing a dynamic version which will look just like the wave shape seen on a real oscilloscope. The file presented here has two different worksheets, the first one contains a classic 2DContinue Reading

## Triple Spring-Mass-Damper System

This is the model of a triple spring-mass-damper system in excel. [sociallocker][/sociallocker]Continue Reading

## Double Spring-Mass-Damper System

This is an animated model of a double spring-mass-damper system in excel. [sociallocker][/sociallocker]Continue Reading

## Simple Spring-Mass-Damper System

This is the model of a simple spring-mass-damper system in excel. [sociallocker][/sociallocker]Continue Reading

## Phase Lock Loop (PLL)

This is an Excel workbook containing a dynamic model of a Phase Lock Loop. [sociallocker][/sociallocker]Continue Reading