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  2. 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 ...

  3. 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.

  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. 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 ...

  6. Mechanical resonance - Wikipedia

    en.wikipedia.org/wiki/Mechanical_resonance

    where m is the mass and k is the spring constant. For a given mass, stiffening the system (increasing ) increases its natural frequency, which is a general characteristic of vibrating mechanical systems. A swing set is another simple example of a resonant system with which most people have practical experience. It is a form of pendulum.

  7. Mass-spring-damper model - Wikipedia

    en.wikipedia.org/wiki/Mass-spring-damper_model

    The mass-spring-damper model consists of discrete mass nodes distributed throughout an object and interconnected via a network of springs and dampers. This model is well-suited for modelling object with complex material properties such as nonlinearity and viscoelasticity .

  8. Oscillation - Wikipedia

    en.wikipedia.org/wiki/Oscillation

    The spring-mass system illustrates some common features of oscillation, namely the existence of an equilibrium and the presence of a restoring force which grows stronger the further the system deviates from equilibrium. In the case of the spring-mass system, Hooke's law states that the restoring force of a spring is: =

  9. Spring (device) - Wikipedia

    en.wikipedia.org/wiki/Spring_(device)

    A spring that obeys Hooke's Law with spring constant k will have a total system energy E of: [14] E = ( 1 2 ) k A 2 {\displaystyle E=\left({\frac {1}{2}}\right)kA^{2}} Here, A is the amplitude of the wave-like motion that is produced by the oscillating behavior of the spring.