ME 5180: Advanced Dynamics | Project 01 | Group 02

Runtime Metric:

• I have a Intel Core i9-9900K CPU @ 3.60 GHz and the project_01.jl file runs in Pluto in 470s (~7.83 minutes)
• This is likely because we incorporated 2 different kinds of generalized resistive forces, drag and dampening from pivot friction.

Group Members:

• Jimmy Padilla
• Eric Dillner
• Jay Yang
• Colby von Kannewurff
• My Nguyen
• Brice Liew

Project_01 - Spinning Pendulum and the Lagrange equations

In this project, a pendulum is attached to a spinning frame. The frame has dimensions,

$h_1 = 0.2~m$

$w_1 = 0.1~m$

and the pendulum length is $L=0.15 m$ with a $m=0.1 kg$ point mass at the end of the system. The pendulum swings in the $x'-z'-plane$ as it rotates at a constant speed, $\Omega$

Your team's goal is to

• build the equations of motion using Lagrange and least action $L=T-V$
• solve for the motion for a slow rotation speed and a fast rotation speed
• visualize the solution with plots and animations