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A double pendulum consists of two pendulums attached end to end.. In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions. [1]
Pastebin.com is a text storage site. It was created on September 3, 2002 by Paul Dixon, and reached 1 million active pastes (excluding spam and expired pastes) eight years later, in 2010. It was created on September 3, 2002 by Paul Dixon, and reached 1 million active pastes (excluding spam and expired pastes) eight years later, in 2010.
The most famous pastebin is the eponymous pastebin.com. [citation needed] Other sites with the same functionality have appeared, and several open source pastebin scripts are available. Pastebins may allow commenting where readers can post feedback directly on the page. GitHub Gists are a type of pastebin with version control. [citation needed]
English: Six slow-motion videos of the same double pendulum (built with Lego), recorded with a high-speed camera. For each recording, the double pendulum was excited in the same manner. The videos are temporally aligned to show that the behaviour is similar in the beginning and considerably different later – which is due to the butterfly effect.
The equation describes the motion of a damped oscillator with a more complex potential than in simple harmonic motion (which corresponds to the case = =); in physical terms, it models, for example, an elastic pendulum whose spring's stiffness does not exactly obey Hooke's law.
A compound pendulum (or physical pendulum) is one where the rod is not massless, and may have extended size; that is, an arbitrarily shaped rigid body swinging by a pivot . In this case the pendulum's period depends on its moment of inertia I O {\displaystyle I_{O}} around the pivot point.
In physics and mathematics, in the area of dynamical systems, an elastic pendulum [1] [2] (also called spring pendulum [3] [4] or swinging spring) is a physical system where a piece of mass is connected to a spring so that the resulting motion contains elements of both a simple pendulum and a one-dimensional spring-mass system. [2]
The inverted pendulum was a central component in the design of several early seismometers due to its inherent instability resulting in a measurable response to any disturbance. [8] The inverted pendulum model has been used in some recent personal transporters, such as the two-wheeled self-balancing scooters and single-wheeled electric unicycles.