Quick guide
Sliders
— adjust system parameters and initial conditions
Play / Stop / Reset
— control the simulation
Scroll
to zoom,
drag
to pan on any plot
Double-click
a plot to reset the view
Scroll the right panel
to explore all widgets
Day mode
— light theme for panels, main view, and plots
Designed for laptop/desktop — not tested on touch devices.
Got it
\[ \overrightarrow{OA}(\alpha)=r\cos(\alpha+\theta)\,\mathbf{i}+r\sin(\alpha+\theta)\,\mathbf{j} \] \[ \mathbf{v}_A(\alpha)=-\dot\theta\, r\sin(\alpha+\theta)\,\mathbf{i}+\bigl(\dot x+\dot\theta\, r\cos(\alpha+\theta)\bigr)\mathbf{j} \] \[ \mathbf{t}(\alpha)=-\frac{f\,m g}{2\pi r}\,\frac{\mathbf{v}_A}{|\mathbf{v}_A|} \] \[ m\ddot x=\int_0^{2\pi}(\mathbf{t}\cdot\mathbf{j})\,r\,\mathrm{d}\alpha,\qquad m r^2\ddot\theta=\int_0^{2\pi}\bigl(\overrightarrow{OA}\times\mathbf{t}\bigr)\cdot\mathbf{k}\,r\,\mathrm{d}\alpha \]
Close
Ring with friction
Distributed friction on the rim
Prof. Marco Gabiccini & Martino Gulisano
Applied mechanics
All rights reserved
Day mode
Quick guide
Parameters
$f$:
1.00
$r$ (m):
0.50
$m$ (kg):
1.0
Initial conditions
$\dot x(0)$ (m/s):
6.0
$\dot\theta(0)$ (rad/s):
6.0
Show friction vectors
Simulation
$T_{\max}$ (s):
▶ Play
■ Stop
Reset
Playback speed:
2%
Show equations
State
Adjust parameters and press Play.
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▶
$x(t)$
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scroll: zoom · drag: pan · dbl-click: reset
$\theta(t)$
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▼
scroll: zoom · drag: pan · dbl-click: reset
$\dot x(t)$
●
$\dot\theta(t)$
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▼
scroll: zoom · drag: pan · dbl-click: reset ·
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