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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    Therefore, the spring constant k, and each element of the tensor κ, is measured in newtons per meter (N/m), or kilograms per second squared (kg/s 2). For continuous media, each element of the stress tensor σ is a force divided by an area; it is therefore measured in units of pressure, namely pascals (Pa, or N/m 2 , or kg/(m·s 2 ).

  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: = shows the period of oscillation is independent of the amplitude, though in practice the amplitude should be small. The above equation is also valid in the case when an additional constant force is being ...

  4. Series and parallel springs - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_springs

    The following table gives formula for the spring that is equivalent to a system of two springs, in series or in parallel, whose spring constants are and . [1] The compliance c {\displaystyle c} of a spring is the reciprocal 1 / k {\displaystyle 1/k} of its spring constant.)

  5. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  6. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    For a stretched spring fixed at one end obeying Hooke's law, the elastic potential energy is = where r 2 and r 1 are collinear coordinates of the free end of the spring, in the direction of the extension/compression, and k is the spring constant.

  7. Wave equation - Wikipedia

    en.wikipedia.org/wiki/Wave_equation

    The springs have a spring constant of k: Here the dependent variable u ( x ) measures the distance from the equilibrium of the mass situated at x , so that u ( x ) essentially measures the magnitude of a disturbance (i.e. strain) that is traveling in an elastic material.

  8. List of physical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_physical_constants

    second radiation constant: 1.438 776 877... × 10 −2 m⋅K: 0 ... × 10 −4 m 2 ⋅s −1: 3.1 ... physical constants are independent of the system of units in use ...

  9. Natural frequency - Wikipedia

    en.wikipedia.org/wiki/Natural_frequency

    In a mass–spring system, with mass m and spring stiffness k, the natural angular frequency can be calculated as: = In an electrical network , ω is a natural angular frequency of a response function f ( t ) if the Laplace transform F ( s ) of f ( t ) includes the term Ke − st , where s = σ + ω i for a real σ , and K ≠ 0 is a constant ...