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I have to hand in a university assignment that centres on the dynamic modelling and mechanical synthesis of a small catapult. Your job is to build the full dynamic model in Wolfram Mathematica, starting from first principles with Lagrange methods, and drive it all the way to an optimisation that shows which geometric or mass parameters deliver the longest range. I will share a previously solved, very similar exercise so you can lean on its structure, but the final notebook and exposition must be entirely original and ready for submission. The budget for the whole task is capped at about €30, so a concise, well-commented solution is exactly what I am after rather than an over-engineered one. Core objectives • Derive the equations of motion with the Lagrangian approach. • Implement them in a clean, reproducible Mathematica notebook. • Simulate the projectile’s flight, extract range, and plot key responses (angular displacements, velocities). • Identify the key design variables (arm length, counterweight, pivot position, etc.) and perform an optimisation sweep that clearly points out the configuration yielding maximum range. Acceptance criteria 1. Notebook runs end-to-end in the latest public release of Wolfram Mathematica without additional packages. 2. Code sections are commented so a mechanical-engineering student can follow each step. 3. Optimised range result is repeatable by re-executing the notebook.
ID do Projeto: 40169457
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7 freelancers estão ofertando em média €23 EUR for esse trabalho

Hi I am an experienced mathematica expert with PhD in mathematics and have a lot of experience in projectile motion and Lagrangian problems solution.
€25 EUR em 3 dias
5,7
5,7

As an experienced problem solver, I am confident that I can tackle this project in a timely and efficient manner while adhering to your budgetary constraints. While my background may not directly align with mechanical-engineering, my proficiency in Matlab and Mathematica make me a perfect fit for this task. I have a proven knack for translating complex ideas into code with detailed comments that are easy to follow - a skill which is crucial for this project as you need the notebook to be comprehensible for someone outside the field. My portfolio reflects my ability to grasp new concepts quickly and deliver with originality. Working alongside your team, my aim would be to build a dynamic model in line with the Lagrange approach, simulate projectile flights while extracting crucial variables and finally conduct an optimization sweep to determine the ideal configuration. My experience in Physics further bolsters my ability to handle and ahead with this project with utmost accuracy.
€30 EUR em 1 dia
3,9
3,9

Hello! I am an experienced in this kind of work. I am a mechanical engineer and I am proficient in mathematical modeling of various physical objects and machine parts. I have done the similar projects earlier. Kindly, hire me for this job. and My bid is also only for 30 EUR. If you have any questions, please feel free to discuss with me. Regards
€30 EUR em 2 dias
3,7
3,7

Dear Sir/Madam, I have experience with dynamic modelling in Wolfram Mathematica, and I’m confident I can create a clean, original solution for your catapult project. I’ll use the Lagrangian method to derive the equations of motion, implement them in a well-commented Mathematica notebook, and run a simulation to calculate the range. Let’s connect in the chatbox to discuss the project further, including the budget and timeline. To know more about my experience, let's talk in a freelancer call, and I can share more details and sample works in the chatbox. I am ready to work with you, please connect in the chatbox for further discussions. Thank You. Dr. Divya.
€15 EUR em 2 dias
1,8
1,8

Hello I just read out your description and am interested in your project. I am an Expert in Dynamic Modelling, and I have also worked with it in the past. If you need Quality Work, then feel free to contact me Thanks
€30 EUR em 7 dias
2,3
2,3

Hi, I can complete your dynamic modeling assignment by building a fully commented Mathematica notebook from scratch. I will derive the equations of motion using the Lagrangian method and ensure the simulation is original and accurate. My approach includes setting up the optimization to find the best parameters for maximum range while keeping the code simple and readable. I am ready to start immediately and will ensure the final file runs without errors. Best regards
€15 EUR em 3 dias
0,4
0,4

Hi, hope you’re doing well. I read your assignment brief carefully, and the main goal is clear: building a solid, first-principles dynamic model of a small catapult using Lagrangian mechanics, then using that model to explore how design parameters influence range. The focus isn’t flashy visuals or overcomplication, but a clean, correct derivation that runs end-to-end in Mathematica and is easy for a mechanical engineering reviewer to follow. The most important part here is getting the assumptions and generalized coordinates right from the start. If the modelling choices around constraints, masses, or energy terms are even slightly off, the optimisation results can look convincing while being physically misleading. Keeping the notebook concise, transparent, and repeatable is what will make it submission-safe. One thing I’d like to clarify before proceeding: does the assignment require air resistance to be included in the projectile phase, or is a vacuum/ideal ballistic model acceptable once the projectile leaves the arm? Once that point is clear, the rest of the work can be aligned cleanly and kept within your stated budget and scope. Thanks for your time, and I look forward to your reply.
€19 EUR em 7 dias
0,0
0,0

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