ball in a cone - Lagrange mechanics
a point mass moves under the influence of gravity on the wall of a circle cone. Equations of motion for the two DOF's r and phi are obtained from the lagrangian L and solved numerically for a certain initial condition:
tspan = [0 T]; % time span for simulation
[r(t=0) r'(t=0) phi(t=0) phi'(t=0) ] initial conditions
y20 = [1.3 0 0 w ]; % w - angular frequency
f = @(l,y2) [y2(2); -g*cos(a) + y2(1)*(y2(4)^2)*((sin(a))^2)-k*(y2(2)^2+y2(4)^2)^0.5;y2(4);(-2*y2(2)*y2(4))/(y2(1))] ;
[l,y2]=ode45(f,tspan,y20); % call ode45 solver
the zip-file contains a mp4-video of the animation (created using matlabs WriteVideo() function)
Cite As
Lucas Tassilo Scharbrodt (2024). ball in a cone - Lagrange mechanics (https://www.mathworks.com/matlabcentral/fileexchange/68002-ball-in-a-cone-lagrange-mechanics), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
- MATLAB > Graphics > 2-D and 3-D Plots > Animation > Waves >
- Engineering > Mechanical Engineering > Statics and Dynamics >
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
ball in a cone/
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 |