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  2. Pendulum (mechanics) - Wikipedia

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

    The animations below depict the motion of a simple (frictionless) pendulum with increasing amounts of initial displacement of the bob, or equivalently increasing initial velocity. The small graph above each pendulum is the corresponding phase plane diagram; the horizontal axis is displacement and the vertical axis is velocity. With a large ...

  3. 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.

  4. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    A simple pendulum exhibits approximately simple harmonic motion under the conditions of no damping and small amplitude. Assuming no damping, the differential equation governing a simple pendulum of length l {\displaystyle l} , where g {\displaystyle g} is the local acceleration of gravity , is d 2 θ d t 2 + g l sin ⁡ θ = 0. {\displaystyle ...

  5. Simple harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Simple_harmonic_motion

    The period of a mass attached to a pendulum of length l with gravitational acceleration is given by = This shows that the period of oscillation is independent of the amplitude and mass of the pendulum but not of the acceleration due to gravity, g {\displaystyle g} , therefore a pendulum of the same length on the Moon would swing more slowly due ...

  6. Moment of inertia - Wikipedia

    en.wikipedia.org/wiki/Moment_of_inertia

    Mathematically, the moment of inertia of a simple pendulum is the ratio of the torque due to gravity about the pivot of a pendulum to its angular acceleration about that pivot point. For a simple pendulum, this is found to be the product of the mass of the particle m {\displaystyle m} with the square of its distance r {\displaystyle r} to the ...

  7. 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.

  8. Kater's pendulum - Wikipedia

    en.wikipedia.org/wiki/Kater's_pendulum

    At this point the period T is equal to the period of an 'ideal' simple pendulum of length equal to the distance between the pivots. From the period and the measured distance L between the pivots, the acceleration of gravity can be calculated with great precision from the equation (1) above.

  9. Acceleration - Wikipedia

    en.wikipedia.org/wiki/Acceleration

    An oscillating pendulum, with velocity and acceleration marked. It experiences both tangential and centripetal acceleration. ... Because of the simple analytic ...