Jack and Box Simulation
Python, SymPy, Dynamics
Authors: Allen Liu
GitHub: View this Project on GitHub
Project Description
Used Jupyter notebook to perform the calculation about physics model of a jack with a box with some force applied upon the box.
Structure
Rigit Body Transformation
To model the dynamics about the jack and the box, we defined all necessary frames as shown in figure below:
Then we can calculate the transformation between all frames:
Euler-Language Equation Formulation
In this project, to simplify the problem, we model the jack as 4 point mass with same mass, m_j
, and model the box with the mass m_b
and moment of intertia of I_b
, so that the total kinetic energy and potential energy can be easily obtained by this
Impacts
Amination