Engineering can be difficult. Let's make it a little easier, shall we?
Often during a course you will need to be able to solve a system equation for its roots. These roots can be complex, distinct, or repeated. These problems usually arise when working with linear systems or differential equations. A system equation is formatted as follows:
System Equation:
For example purposes, I will solve a system equation [...]
In integral can be thought of as an area underneath a curve. Integrals are often used to manipulate position, velocity, and acceleration equations to estimate different situations. If you are given an equation that represents the velocity of a golf cart driving, like so: (the ‘ in y’ represents the differential element that [...]
The 3 common methods of describing a point in a three dimensional coordinate system are Cartesian, Cylindrical and Spherical. The most simple is Cartesian but certain teachers find it necessary to use the others. There are a few simple conversions between them but first it is necessary to know their notation.
Cartesian:
Cylindrical:
Spherical:
In most [...]
Suppose you are interested in finding the unit vector between two points, and , which are described in cartesian coordinates as and , respectively.
You would begin by finding the vector between these two points. The direction of this vector may be important so look for key words such as . Once [...]
Another simple review of the vector dot product, for those of you that have forgotten. The operation that involves multiplying two vectors together can be done in a few ways. The first operation is called either the scalar product or the dot product. One of the well known definitions looks like this:
RULE 1:
This is [...]
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Jeff Schuler