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  2. 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.

  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. Inverted pendulum - Wikipedia

    en.wikipedia.org/wiki/Inverted_pendulum

    If displaced from this position, it experiences a restoring torque that returns it toward the equilibrium position. A pendulum with its bob in an inverted position, supported on a rigid rod directly above the pivot, 180° from its stable equilibrium position, is at an unstable equilibrium point. At this point again there is no torque on the ...

  5. Heteroclinic orbit - Wikipedia

    en.wikipedia.org/wiki/Heteroclinic_orbit

    This orbit corresponds with the (rigid) pendulum starting upright, making one revolution through its lowest position, and ending upright again. In mathematics, in the phase portrait of a dynamical system, a heteroclinic orbit (sometimes called a heteroclinic connection) is a path in phase space which joins two different equilibrium points.

  6. Center of percussion - Wikipedia

    en.wikipedia.org/wiki/Center_of_percussion

    (This point is also the node in the second vibrational harmonic, which also minimizes vibration.) The sweet spot on a baseball bat is generally defined as the point at which the impact feels best to the batter. The center of percussion defines a place where, if the bat strikes the ball and the batter's hands are at the pivot point, the batter ...

  7. Restoring force - Wikipedia

    en.wikipedia.org/wiki/Restoring_force

    When a pendulum is not swinging all the forces acting on it are in equilibrium. The force due to gravity and the mass of the object at the end of the pendulum is equal to the tension in the string holding the object up. When a pendulum is put in motion, the place of equilibrium is at the bottom of the swing, the location where the pendulum rests.

  8. Homoclinic orbit - Wikipedia

    en.wikipedia.org/wiki/Homoclinic_orbit

    More precisely, a homoclinic orbit lies in the intersection of the stable manifold and the unstable manifold of an equilibrium. It is a heteroclinic orbit–a path between any two equilibrium points–in which the endpoints are one and the same. Consider the continuous dynamical system described by the ordinary differential equation

  9. Vibration - Wikipedia

    en.wikipedia.org/wiki/Vibration

    Vibration (from Latin vibrāre 'to shake') is a mechanical phenomenon whereby oscillations occur about an equilibrium point.Vibration may be deterministic if the oscillations can be characterised precisely (e.g. the periodic motion of a pendulum), or random if the oscillations can only be analysed statistically (e.g. the movement of a tire on a gravel road).