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https://www.myphysicslab.com/pendulum/moveable-pendulum-en.html
Physics-based simulation of a pendulum attached to a moveable support point or "anchor block". The support point is assumed to be so massive that it is not affected by the pendulum. You can drag the anchor block or pendulum with your mouse.
http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/PendulumWithMovingSupport.pdf
If driven at low frequencies (Ω 2 ˝ g/l), the pendulum will follow the support, with a small angle θ, ans x ≈ X: the rod is almost vertical (although the maximum pendulum displacement is larger than the top’s maximum displacement).
https://www.youtube.com/watch?v=xZVbDDhhRYA
Nov 10, 2013 · The mass of the support equals the mass of the bob. The initial angular velocity of the bob is given by: 2.9√(g/l) so that the pendulum barely has enough energy to go over the top.
https://www.youtube.com/watch?v=YpDDkzg3U4o
Jan 13, 2014 · Café Planck is the result of many years of effort in the field of mathematics and physics tutoring in all level of education. Our goal is to teach you how to employ Mathematica to learn and ...
https://www.sciencedirect.com/science/article/pii/S221098381730113X
A pendulum on a movable support has been used widely in the modeling of many mechanical systems, say, as the simplest model of gantry cranes. This paper presents a comparison study of the stability of the controlled pendulum with a delayed proportional- derivative feedback controller or a delayed derivative-acceleration feedback controller for sway reduction.Cited by: 5
https://www.mathworks.com/matlabcentral/fileexchange/68000-pendulum-with-movable-support-lagrange-mechanics
Jul 11, 2018 · simple example how to use matlab to solve a system of nonlinear ODE's and create an animation from the output the exaple has 2x degrees of freedom (DOF) : the deflection angle of the pendulum and translation of its support point
https://www.myphysicslab.com/pendulum/moveable-double-pendulum-en.html
Feb 05, 2018 · This is similar to the development of equations shown for the Moveable Pendulum. This movement of the support point is an input to the equations of motion, which means that the support point is not affected by the motion of the double pendulum. We assume the anchor/support point is so massive compared to the pendulum that it is not affected by the motion of the pendulums.
https://www.12000.org/my_notes/cart_motion/report.htm
1 Introduction. This report shows how to determine the equations of motion for a rigid bar pendulum (physical pendulum) on a moving cart as shown in the following diagram using both Newton’s method and the energy (Lagrangian) method.
http://www.physics.usu.edu/torre/6010_Fall_2010/Lectures/03.pdf
Constraints and Lagrange Multipliers. Relevant Sections in Text: x1.3{1.6 ... Some examples. Constraints and Lagrange Multipliers. Here L1, L2, etc. are the Lagrangians for the subsystems. For example, if we have a ... Suppose the point of support of the pendulum is forced to oscillate with amplitude A …
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