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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    Hooke's law for a spring is also stated under the convention that F s is the restoring force exerted by the spring on whatever is pulling its free end. In that case, the equation becomes F s = − k x {\displaystyle F_{s}=-kx} since the direction of the restoring force is opposite to that of the displacement.

  3. 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.)

  4. 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 Δ E p = 1 2 k ( r 2 − r 1 ) 2 {\displaystyle \Delta E_{p}={\frac {1}{2}}k(r_{2}-r_{1})^{2}} 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.

  5. Spring (device) - Wikipedia

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

    The rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring. That is, it is the gradient of the force versus deflection curve . An extension or compression spring's rate is expressed in units of force divided by distance, for example or N/m or lbf/in.

  6. 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 ...

  7. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    Hooke's law gives the relationship of the force exerted by the spring when the spring is compressed or stretched a certain length: = (), where F is the force, k is the spring constant, and x is the displacement of the mass with respect to the equilibrium position. The minus sign in the equation indicates that the force exerted by the spring ...

  8. Restoring force - Wikipedia

    en.wikipedia.org/wiki/Restoring_force

    The force responsible for restoring original size and shape is called the restoring force. [1] [2] An example is the action of a spring. An idealized spring exerts a force proportional to the amount of deformation of the spring from its equilibrium length, exerted in a direction oppose the deformation.

  9. 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 ...