Recent content by Alexrey

Homework Statement A 100 kN load is applied to a flange positioned midway (at B) along a 50 mm diameter steel bar (ABC). The bar is placed between two rigid supports and is thus constrained. Determine the position of the flange (distance from the left support) if the temperature of the bar...

Great, thank you.

I remember in my first year physics classes, when dealing with a force F we would find the vector's x- and y-components using F_x=r cos(θ) and F_y=r sin(θ) I also remember learning in my mathematics classes about unit vectors, but cannot seem to remember using them to break vectors down into...

Thanks for the answers guys. So patched conic it is :) I've been trying to figure out how to get the departure \triangle v equation into its x- and y-components (since I'm using a Heliocentric x-y coordinate system), but have had no luck so far. This is what I did: I took the original...

Currently I've added the gravitational acceleration of the Sun, Earth and Mars into the simulation, which have been calculated numerically using Mathematica's NDSolve. What I really wanted to know was if there are a set of equations, similar to those for calculating planetary transfers using the...

Hi guys, I've made a Mathematica n-body simulation of the first few planets in our Solar System and thought it would be a good idea to try and simulate a spacecraft transfer from Earth to Mars. I've thought about using a patched conic approximation, but I was wondering if there is anything...

Wouldn't conservation of mass be broken if the mass flow rate decreases? If the mass flow is decreased with the addition of a nozzle, does that mean that there will be a pressure increase within the motor? I'm guessing that the increase in exhaust velocity more than makes up for the decrease in...

Hi guys, I'm no engineer, but I have a question regarding engine thrust and nozzles: Consider a simple model rocket motor with no nozzle (i.e. just a straight cylindrical pipe with its mass flow coming out the back) that has a mass flow rate of 2kg/s. Since F = v dm/dt we would have dm/dt...

After using Matlab here and there whilst I was at university, I thought that although it was very powerful, its use was extremely cumbersome and slowed down what should be fairly simple processes like making 3D plots and solving ODEs, PDEs etc. That got me wondering if there were any programs...

@StatGuy2000: I did computer programming in high school and did a year of it at uni as well, and I have some knowledge using Maple. I've also been studying some aeronautics online from the Glenn Research Center webpages titled "The Beginner's Guide to Aeronautics", and although its very...

Yeah, I dealt pretty extensively with differential equations in 1st, 2nd and 3rd year maths. Unfortunately I was unable to do dynamical systems courses or numerical analysis due to conflicts with other courses. If it would help I could give a breakdown of the courses I did from years 1 to 4.

Hi guys, I recently graduated from uni with an honours degree in mathematics and now it's time to hit the real world (which is pretty daunting). I'm hoping to head over to London, UK, in late Feb or early March to meet up with a friend and would like to have a job sorted out by that time...

About 5 minutes after posting this I figured it out. :/ Thanks for replying though, I appreciate it, that's exactly what I got. Cheers!

Homework Statement I was given a DE of the form: \Phi^{''}+(6/\eta)\Phi^{'}=0 where the next step was given as \Phi^{'} \propto \eta^{-6} where the answer came out to be \Phi \propto \eta^{-5} + constant The Attempt at a Solution My attempt was to set \Phi^{'}=x where I would then get...

Wow those are some pretty interesting questions.