carousel (rotational pendulum): Euler-Lagrange equations of motion, 2 DoF dynamics
Solving the Pendulum Initial Value Problem: Euler, RK-2, RK-4 and Stability Analysis
Code a pendulum swinging (Euler-Cromer Method with torque & angular momentum)
Euler-Lagrange equation for the compound pendulum (long)
Symplectic Euler - Differential Equations in Action
Stability of forward Euler for solving pendulum problem
Detailed Analysis
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Last Updated: September 22, 2026
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Summary
initial conditions: omega1,omega2 = 0, theta1 = 1.57, theta2=0. Watch other parts of the lecture at goo.gl/vkqFmX. This video discusses how to model the dynamics of a merry-go-round (well, really, with just one element hanging, the mechanism ... Putting the Lagrangian for the compound This video is part of an online course, Differential Equations in Action. the course here: ...