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  2. Pendulum (mechanics) - Wikipedia

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

    An important concept is the equivalent length, , the length of a simple pendulums that has the same angular frequency as the compound pendulum: =:= = Consider the following cases: The simple pendulum is the special case where all the mass is located at the bob swinging at a distance ℓ {\displaystyle \ell } from the pivot.

  3. Angular frequency - Wikipedia

    en.wikipedia.org/wiki/Angular_frequency

    A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.. In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).

  4. Pendulum - Wikipedia

    en.wikipedia.org/wiki/Pendulum

    "Simple gravity pendulum" model assumes no friction or air resistance. A pendulum is a device made of a weight suspended from a pivot so that it can swing freely. [1] 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 toward the equilibrium position.

  5. Rayleigh–Lorentz pendulum - Wikipedia

    en.wikipedia.org/wiki/Rayleigh–Lorentz_pendulum

    Rayleigh–Lorentz pendulum (or Lorentz pendulum) is a simple pendulum, but subjected to a slowly varying frequency due to an external action (frequency is varied by varying the pendulum length), named after Lord Rayleigh and Hendrik Lorentz. [1] This problem formed the basis for the concept of adiabatic invariants in mechanics. On account of ...

  6. Elastic pendulum - Wikipedia

    en.wikipedia.org/wiki/Elastic_pendulum

    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]

  7. Seconds pendulum - Wikipedia

    en.wikipedia.org/wiki/Seconds_pendulum

    The seconds pendulum (also called the Royal pendulum), 0.994 m (39.1 in) long, in which each swing takes one second, became widely used in quality clocks. The long narrow clocks built around these pendulums, first made by William Clement around 1680, became known as grandfather clocks. The increased accuracy resulting from these developments ...

  8. Frequency - Wikipedia

    en.wikipedia.org/wiki/Frequency

    A pendulum with a period of 2.8 s and a frequency of 0.36 Hz. For cyclical phenomena such as oscillations, waves, or for examples of simple harmonic motion, the term frequency is defined as the number of cycles or repetitions per unit of time.

  9. Q factor - Wikipedia

    en.wikipedia.org/wiki/Q_factor

    A second-order Butterworth filter (i.e., continuous-time filter with the flattest passband frequency response) has an underdamped Q = ⁠ 1 / √ 2 ⁠. [11] A pendulum's Q-factor is: Q = Mω/Γ, where M is the mass of the bob, ω = 2π/T is the pendulum's radian frequency of oscillation, and Γ is the frictional damping force on the pendulum ...