Recent content by CGUE

This and the explanation in my tutorial helped me clarify things. Also to put it short, do we use unit vectors to specify a certain finite length or interval within a vector of total length V?

I've been reading and studying from 'Engineering Mechanics - STATICS 5th edition' by Beford and Fowler and it says that the definition of the unit vector e is that it has a magnitude of 1. Then e.g. V = |V|e Then isn't it just V = |V|? I still find unit vectors pointless/confusing. I need...

This reminds me of my high school chemistry days of osmosis, where in natural systems higher concentrations move to regions to lower concentration. I guess this concept extends beyond biological systems.

A very interesting article for all. http://www.math.utah.edu/~palais/pi.html Quote from the article: "What really worries me is that the first thing we broadcast to the cosmos to demonstrate our 'intelligence' is 3.14... I am a bit concerned about what the lifeforms who receive it will do...

When working out problems in mechanics by drawing free body diagrams and so on, I personally find it better to write mg rather than W (weight) because I confuse it with work.

I ask all Mechanical Engineers, if you do use a computer programming language to aid in your problem solving and work, which one do you use? I use Visual Basic For Applications (VBA) which is integrated with Microsoft Excel 97 and onwards, but my university recommends a proper computing course...

Lagarias’ equivalence to the Riemann hypothesis should be discussed, i.e., if hn := n-th harmonic number := 1/1 + 1/2 + · · · + 1/n, and σn := divisor function of n := sum of positive divisors of n, then if n > 1, hn + ehn ln hn > σn. There is a $1,000,000 prize for the proof of this at...

In Chemical Engineering, determining whether production levels can be met in a refinery. e.g. no solutions if production levels cannot be met. In Economics, determining the supply and demand of certain products. Negative numbers mean imports must be required to sustain the product or...

Hmm yeah I got the harder paper and when I solved for the intersection between two planes I was lost when I got infinite solutions after using Gaussian Elimination. And I still couldn't grasp the concept of linear combination of vectors, i.e. I haven't found a mechanical way to solve...

OMG Thanks, this material is actually covered in my current first-semester Physics course.

I heard dot products are very good for physicists especially when it comes to calculating stuff like Work.

If you could offer any tips for studying for an Algebra test for tomorrow morning it would be great. It covers: Vectors: Vector quantities and $\mathbb{R^n}$ $\mathbb{R^2}$ and analytic geometry Points, line segments and lines. Parametric vector equations. Parallel lines. Planes. Linear...

My computing course does teach us how to program in Visual Basic and use both Visual Basic and Microsoft Excel to solve problems in finance and engineering. A few examples of mathematical problems to be solved in either include the Newton-Raphson method, factorials, calculating the trajectory...

Is there a way to calculate the sector angle and segment area of a circle just given only the radius and the length of the circle ? So far I can only calculate the sagitta length using the radius and length of the chord i.e. S = r - \sqrt{r^2 - \frac{1}{2}l^2} Where r is the radius of the...

When evaluating the polar form of complex numbers I hate dealing with angles in the 2nd, 3rd and 4th quadrants.