SwingingAtwood

Systems · Continuous · Physical systems

Dimension: 4

Equations

\[ \begin{aligned} \dot{y_{0}} &= \frac{y_{2}}{m_{1} + m_{2}} \\ \dot{y_{1}} &= \frac{y_{3}}{m_{1} y_{0}^{2}} \\ \dot{y_{2}} &= 9.82 m_{1} \cos{\left(y_{1} \right)} - 9.82 m_{2} + \frac{y_{3}^{2}}{m_{1} y_{0}^{3}} \\ \dot{y_{3}} &= - 9.82 m_{1} y_{0} \sin{\left(y_{1} \right)} \end{aligned} \]

Parameters

parameter	default
m1	1.0
m2	4.5

Usage

import tsdynamics as ts

sys = ts.SwingingAtwood()
traj = sys.integrate(final_time=100.0, dt=0.01)

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