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  2. Seconds pendulum - Wikipedia

    en.wikipedia.org/wiki/Seconds_pendulum

    For a point mass on a weightless string of length L swinging with an infinitesimally small amplitude, without resistance, the length of the string of a seconds pendulum is equal to L = g/ π 2 where g is the acceleration due to gravity, with units of length per second squared, and L is the length of the string in the same units.

  3. Pendulum (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Pendulum_(mechanics)

    A pendulum is a body suspended from a fixed support such that it freely swings back and forth under the influence of gravity. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back towards the equilibrium position.

  4. Double pendulum - Wikipedia

    en.wikipedia.org/wiki/Double_pendulum

    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]

  5. Pendulum - Wikipedia

    en.wikipedia.org/wiki/Pendulum

    The seconds pendulum, a pendulum with a period of two seconds so each swing takes one second. The seconds pendulum, a pendulum with a period of two seconds so each swing takes one second, was widely used to measure gravity, because its period could be easily measured by comparing it to precision regulator clocks, which all had seconds pendulums ...

  6. Separatrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Separatrix_(mathematics)

    These curves correspond to the pendulum swinging periodically from side to side. If < then the curve is open, and this corresponds to the pendulum forever swinging through complete circles. In this system the separatrix is the curve that corresponds to =. It separates — hence the name — the phase space into two distinct areas, each with a ...

  7. Poincaré map - Wikipedia

    en.wikipedia.org/wiki/Poincaré_map

    A two-dimensional Poincaré section of the forced Duffing equation. In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.

  8. FDA Issues Urgent Warning on Dangers of Common Dog Medication

    www.aol.com/lifestyle/fda-issues-urgent-warning...

    The United States Food and Drugs Administration is warning pet owners about a common medication given to pets to treat arthritis. The F.D.A. now says that the drug Librela may be associated with ...

  9. Kater's pendulum - Wikipedia

    en.wikipedia.org/wiki/Kater's_pendulum

    Pendulums were so universally used to measure gravity that, in Kater's time, the local strength of gravity was usually expressed not by the value of the acceleration g now used, but by the length at that location of the seconds pendulum, a pendulum with a period of two seconds, so each swing takes one second. It can be seen from equation (1 ...