Pendulum On A Movable Support

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Moveable Pendulum - myPhysicsLab

    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.

A pendulum with a moving support point

    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).

Sway Reduction of a Pendulum on a Movable Support Using a ...

    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

Stabilization of Reaction Wheel Pendulum on Movable Suppor

    http://lib.physcon.ru/file?id=5a846da9e290
    of a reaction wheel pendulum on a movable platform is proposed. Obtained hybrid control system allows to stabilize a pendulum fixed on the movable platform at the top unstable equilibrium. Task of swinging up and stabilizing of a pendulum is solved in conditions of full parametric uncertainty of a plant and constrained control.

Moveable Double Pendulum - myPhysicsLab

    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.

Finding equations of motion for pendulum on moving cart

    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.

Lagrangian mechanics - Wikipedia

    https://en.wikipedia.org/wiki/Lagrangian_mechanics
    Pendulum on a movable support Sketch of the situation with definition of the coordinates (click to enlarge) Consider a pendulum of mass m and length ℓ , which is attached to a support with mass M , which can move along a line in the x -direction.



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