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  2. 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 ...

  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. 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. Harmonograph - Wikipedia

    en.wikipedia.org/wiki/Harmonograph

    A harmonograph creates its figures using the movements of damped pendulums. The movement of a damped pendulum is described by the equation = ⁡ (+),in which represents frequency, represents phase, represents amplitude, represents damping and represents time.

  6. Spherical pendulum - Wikipedia

    en.wikipedia.org/wiki/Spherical_pendulum

    Spherical pendulum: angles and velocities. In physics, a spherical pendulum is a higher dimensional analogue of the pendulum. It consists of a mass m moving without friction on the surface of a sphere. The only forces acting on the mass are the reaction from the sphere and gravity.

  7. Holonomic constraints - Wikipedia

    en.wikipedia.org/wiki/Holonomic_constraints

    A simple pendulum. As shown on the right, a simple pendulum is a system composed of a weight and a string. The string is attached at the top end to a pivot and at the bottom end to a weight. Being inextensible, the string’s length is a constant.

  8. Swinging Atwood's machine - Wikipedia

    en.wikipedia.org/wiki/Swinging_Atwood's_Machine

    Motion of Swinging Atwood's Machine for M/m = 4.5. The swinging Atwood's machine is a system with two degrees of freedom. We may derive its equations of motion using either Hamiltonian mechanics or Lagrangian mechanics.

  9. Kapitza's pendulum - Wikipedia

    en.wikipedia.org/wiki/Kapitza's_pendulum

    Kapitza's pendulum or Kapitza pendulum is a rigid pendulum in which the pivot point vibrates in a vertical direction, up and down. It is named after Russian Nobel Prize laureate physicist Pyotr Kapitza , who in 1951 developed a theory which successfully explains some of its unusual properties. [ 1 ]