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The Fourier Series — Part 1

A Fundamental and odd harmonics from 3 to 101

Tonight’s post is about adding multiple sine waves to create another waveform. Each of the sine waves is an positive integer (whole number) multiple of the frequency of the base sine wave. These additional frequencies are called harmonics of the the base frequency. The base

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The final analysis of a floating barrel. Flotation Part III

Bouyancy calcs for greater than 50% immersed.

Tonight’s post is the last of the posts about buoyancy and calculating the lift of a plastic barrel immersed in water. This shows the calculations for a barrel supporting a weight causing the barrel to be immersed greater that 50%.

The calculations are very similar to the

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A Plastic Barrel Pontoon Raft – Part 2

Breaking down the Problem into important areas.

This post and video is a continuation of the previous post. However, it is also much more. By calculating the lift of a partially submerged barrel we can estimate how high our raft will float in the water and how much we can load the raft. To

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A Plastic Barrel Pontoon Raft – Part 1

This post and video is the first of three describing a raft or platform supported by plastic barrel pontoons. This is the enjoyable part of the process; thinking of the idea and doing the rough calculations. The harder part will be the next video, do some more precise calculations. This is being done because I

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Triangles, The Unit Circle and Radians

The Unit Circle andRadian Measurement of Angles

This is the last of the basic math posts for awhile. The next posts will be about creating a flotation platform that can be used as a raft or floating dock. We will be using much of this math. This one is based around a video like

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Buoyancy and Archimedes’ Principle.

Buoyancy of a partially Immersed container

Before I get into the material of this post I need to make one announcement. For some reason Hotmail and related services seem to be not delivering a lot of the e-mails for the subscription service. When I get one of those I unsubscribe the e-mail address. It

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A Right Triangle and an Introduction to Trigonometry

Basic Trig Formulas

I have just created another video about some basic math. This one is about what is probably the most useful branch of mathematics for practical work, trigonometry. I am not going to bore you here with a repeat of what is in the video, but what I will do here is

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A Right Triangle and the Pythagorean Theorem

A Generalized Right Triangle

Tonight’s post is another one on the subject of simple but very very useful mathematics and geometry. The right triangle can seen almost everywhere in the man-made world. Almost everything is build with straight lines usually running horizontally and vertically. Together those would from rectangles, but a rectangle is inherently

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Cartesian Coordinates Part 2 – Moving from Pt. to Pt.

A Cartesian Vector

Being able to map points on a Cartesian Coordinate System is all well and good, but sooner or later we will need to know how to move from one point to another. This post is the first baby-step in that direction. A line pointing from one point to another is called

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The Cartesian Coordinate System Part 1

Points on a Catesian Coordinate

Today’s Post is in many ways a back-up and regroup post. I think this will be very easy for most people. However, I needed to build a good foundation of ideas before we proceed head-long into the complicated stuff where we have already been. Also, this is probably a

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