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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.Author: Don Burgess
http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/PendulumWithMovingSupport.pdf
A pendulum with a moving support point Gabriela Gonz´alez September 12, 2006 Consider a pendulum with mass m hanging from a rod of length l. The support point moves horizontally with a known function R(t) = X(t)ˆi + Y(t)ˆj. We can use the angle θ between the vertical and the pendulum rod as a generalized coordinate, the only one
http://onlinelibrary.wiley.com/doi/10.1002/eqe.4290110603/full
To study the response sensitivities, the spectra for absolute acceleration and sliding displacement of the 1949 Olympia earthquake (S86E component) are also presented. It is concluded that sliding supports can be quite effective in isolating structures from support excitations.
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 …
https://en.wikipedia.org/wiki/Pendulums
Simple gravity pendulum. The simple gravity pendulum is an idealized mathematical model of a pendulum. This is a weight (or bob) on the end of a massless cord suspended from a pivot, without friction.When given an initial push, it will swing back and forth at a constant amplitude.Real pendulums are subject to friction and air drag, so the amplitude of their swings declines.
http://www.people.fas.harvard.edu/~djmorin/chap6.pdf
Example (Spring pendulum): Consider a pendulum made of a spring with a mass m on the end (see Fig. 6.1). The spring is arranged to lie in a straight line (which we can arrange q l+x m Figure 6.1 by, say, wrapping the spring around a rigid massless rod). The equilibrium length of the spring is ‘.
https://www.sciencedirect.com/science/article/pii/S0920379614001781
Pendulum support of the W7-X plasma vessel: Design, tests, manufacturing, assembly, critical aspects, status. ... Sliding table works/pendulum works. Left hand the jacked sliding table (red) is in contact with bracket of plasma vessel (working) and the pendulum has a gap. Right hand the gap of pendulum is closed by raising but the sliding table ...Cited by: 1
https://www.mathworks.com/help/physmod/sm/examples/inverted-double-pendulum-on-a-sliding-cart.html
This example shows how to model an inverted double pendulum mounted on a sliding cart using Simscape™ Multibody™. It also illustrates the use of a controller to balance the pendulum in the upright position. Make any changes to the system and click on the blue box to generate linearized model for the system before running the simulation.
https://www.dipa.de/en/product-category/sliding-support/
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