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  2. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    When a spring is stretched or compressed by a mass, the spring develops a restoring force. Hooke's law gives the relationship of the force exerted by the spring when the spring is compressed or stretched a certain length: F ( t ) = − k x ( t ) , {\displaystyle F(t)=-kx(t),} where F is the force, k is the spring constant, and x is the ...

  3. Wilberforce pendulum - Wikipedia

    en.wikipedia.org/wiki/Wilberforce_pendulum

    A Wilberforce pendulum can be designed by approximately equating the frequency of harmonic oscillations of the spring-mass oscillator f T, which is dependent on the spring constant k of the spring and the mass m of the system, and the frequency of the rotating oscillator f R, which is dependent on the moment of inertia I and the torsional ...

  4. 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]

  5. Simple harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Simple_harmonic_motion

    A mass m attached to a spring of spring constant k exhibits simple harmonic motion in closed space. The equation for describing the period: T = 2 π m k {\displaystyle T=2\pi {\sqrt {\frac {m}{k}}}} shows the period of oscillation is independent of the amplitude, though in practice the amplitude should be small.

  6. Rotational–vibrational coupling - Wikipedia

    en.wikipedia.org/wiki/Rotational–vibrational...

    The energy of the system is oscillating back and forth between kinetic energy and potential energy. In the animation with the two circling masses there is a back and forth oscillation of kinetic energy and potential energy.

  7. Pendulum (mechanics) - Wikipedia

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

    The kinetic energy of the system is: = (˙ + ˙) where is the mass of the bobs, is the length of the strings, and , are the angular displacements of the two bobs from equilibrium. The potential energy of the system is: E p = m g L ( 2 − cos ⁡ θ 1 − cos ⁡ θ 2 ) + 1 2 k L 2 ( θ 2 − θ 1 ) 2 {\displaystyle E_{\text{p}}=mgL(2-\cos ...

  8. Effective mass (spring–mass system) - Wikipedia

    en.wikipedia.org/wiki/Effective_mass_(spring...

    The effective mass of the spring in a spring-mass system when using a heavy spring (non-ideal) of uniform linear density is of the mass of the spring and is independent of the direction of the spring-mass system (i.e., horizontal, vertical, and oblique systems all have the same effective mass). This is because external acceleration does not ...

  9. Oscillation - Wikipedia

    en.wikipedia.org/wiki/Oscillation

    In addition, an oscillating system may be subject to some external force, as when an AC circuit is connected to an outside power source. In this case the oscillation is said to be driven. The simplest example of this is a spring-mass system with a sinusoidal driving force.