This section is dedicated to modeling physics in Excel 2003 standard.
This tutorial simplifies the previous model and manages to describe the (x,y) flight coordinates using just two formulas placed on columns D and E. A custom VBA trajectory function will be introduced in the next section which preserves the effects of gravity and aerodynamic drag. [sociallocker][/sociallocker] Projectile Motion Tutorial #5 by George Lungu – a 2D projectile motion model of projectile dynamics including… Read More... "2D Projectile Motion Tutorial #6"
This is the next in a series of projectile motion tutorials for creating 2D trajectory models using numerical analysis of projectile dynamics (including aerodynamic drag). The trajectory formulas were derived in the previous tutorial. This post describes the Excel implementation (spreadsheet formulas, VBA code, buttons and charts). [sociallocker][/sociallocker] Projectile Motion Tutorial #5 – a 2D projectile motion model using numerical analysis of projectile dynamics (including aerodynamic drag)… Read More... "2D Projectile Motion Tutorial #5"
This tutorial derives the formulas of a projectile model taking into account the aerodynamic drag. A finite differences numerical method is used. Though fairly easy to apply and understand, this type of methods can solve much more complex problems than the high-school type approach shown in the previous tutorials. An Excel model will be implemented in the next section. Projectile Motion… Read More... "2D Projectile Motion Tutorial #4"
Now that we have a simple animated projectile motion (previous tutorial) let’s try to add on the chart the three instantaneous speed vectors associated with the projectile. These speed vectors are: the horizontal speed, vertical speed and the total speed vector. The model works in all Excel versions but in 2007 it’s rather slow. [sociallocker][/sociallocker] Projectile Motion Tutorial #3 –… Read More... "2D Projectile Motion Tutorial #3"
This part of the tutorial shows you how to animate the model created in the first part. Since it is addressed to beginners, this part of the tutorial will show you in detail how to create buttons and the associated macros for the input data interface and it will also show you how to animate the flight of the projectile and explain… Read More... "2D Projectile Motion Tutorial #2"
This part of the tutorial will show you how to create the simplest possible projectile motion model using standard kinematic formulas from the first year of high school. The variable parameters of the model will be: initial height, initial speed and initial angle and time step. “g” – the gravitational constant will be set at 9.81 m/s^2. This model is a… Read More... "2D Projectile Motion Tutorial #1"
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 snipers… Read More... "2D Projectile Motion Model #1 – a virtual tactical shooting range"
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 table… Read More... "Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#3"
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.… Read More... "Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#2"
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 –… Read More... "Casual Introduction to Numerical Methods – a spring-mass-damper system model – part#1"
Hi folks, as a continuation to the previous tutorial here is a 3-body planetary model where the solution to the equations is contained in a static form, as a lookup table (I previously called it a “pure spreadsheet solution”). The model is static in the sense that after any parameter is changed, the solution data remains unchanged in a table until a new parameter is updated by the… Read More... "A basic 3-body Planetary System"
Here is a tutorial explaining how to model a two dimensional 2-body planetary system in Excel. It uses the Euler method of integration. The tutorial starts with explaining the simple Newtonian laws acting on the two planets. There are essentially just two forces acting on each body at any time: the inertia and the gravitational attraction. During each small time step,… Read More... "How to Model a Basic 2-body Planetary System"
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 visualize… Read More... "Tutorial – a Static Lissajous Emulator"
This RLC parallel circuit model has several sound effects so it must be dearchived in the same subdirectory. [sociallocker][/sociallocker] Read More... "RLC-Parallel"