We recommend using Imgur to upload images for linking inside posts.Include any equations or assumptions you are using, and descriptions of any attempts you have made. Where are you in the process? Provide those who help with as much information as possible. What does your instructor (or the text) want you to accomplish? To receive the best help, please use the following format: Sample topic questionĮX: Quadratic Equations EX: Probability Be civil and polite this is meant to be an approachable community for discussion of reason and logic. Questions, no matter how basic, will be answered (to the best ability of the online subscribers).įollow reddiquette. Post all your math-learning resources here. This is a subreddit for learning math, and can be seen as a sister subreddit to /r/math. Think /r/math is too advanced? Here, the only stupid question is the one you don't ask. We're no longer participating in the protest against excessive API fees, but many other subreddits are check out the progress among subreddits that pledged to go dark on 12 July 2023 and the top 255 subreddits (even those that never joined the protest). | Each post must include a specific title and description. A user interface will be included in following releases, as this will make it easier for STEM students to run this solver and compare their analytical solutions of projectile motions with the numerical equivalent that includes drag.Set your post to "Resolved" when answered. In the coming weeks I will publish a release with pre-compiled binaries that anyone can run with a Windows machine. This is the first version of this projectile solver with drag. The graph was created in LibreOffice Calc.įigure 1: Trajectory Graph of a Sample Run using the Solver Closing Remarks A trajectory graph is included below from a sample run. These data can be used to plot the object's trajectory in either LibreOffice Calc, Python or any other scripting language or spreadsheet program. In this output file, the first column is time, the second column is x-coordinates and the third column is y-coordinates. The results from the simulation run are printed out on the command prompt, but are also saved in a file called projectileCoordinates.txt that can be found in the same folder as the executable. Please note that this is a command-line appplication, it does not have any user interface at this point. The upcoming release will have a compiled binary with all required DLLs for the user to run straigh away from their Windows machine. As far as complementary libraries go, the program uses the cmath, string, iostream, fstream and oimanip libraries. The source code can be compiled using Microsoft's Visual Studio application. Any other forces (magneric, etc.) are ingored in the ODEs definition. The only 2 forces considered on the body are its weight and the drag. Projectile motions are limited in the XY plane, with +y being orthogonal to the ground and aiming away from it. It is also assumed that the drag coefficient equals with 0.5. It is assumed that the drag acting on the body is fully defined through the quadratic drag formula. Please refer to that header file if you want to increase your number of steps or run the simulation in another medium (water for example) Assumptions in Physics Simulation parameters together with global contants are defined in the constants.h header file. Step sizes are kept constant (no adaptive step-size routine). The 2nd order differential equations (ODEs) defined through the free body diagram are solved using the RK4 (Runge-Kutta 4th Order) numerical scheme. ProjectileMotionQuadraticDrag Brief Introduction & Theoryĭefines a projectile solver (well-known problem in Newtonian physics) that includes quadratic drag in C++.
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