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      Restoring force

      • The spring force can be quantified using Hooke’s law. According to this law, when a spring stresses or compresses, the restoring force F is proportional to the displacement x. F ∝ x
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  2. Mar 12, 2024 · The simplest type of oscillations and waves are related to systems that can be described by Hooke’s law: F = −kx, F = − k x, where F F is the restoring force, x x is the displacement from equilibrium or deformation, and k k is the spring constant of the system.

  3. Dec 11, 2020 · The force can be measured using a spring tester. The magnitude of the spring constant is given by, k = F/x. Suppose F = 1 N and x = 1 m, then. k = 1 N/ 1 m = 1 N/m. Therefore, the spring constant is defined as the force required to displace the spring by one meter. It has a unit of Newton per meter (N/m) and a dimension given by MT -2.

  4. F = − k x. Where F is the force, x is the length of extension/compression and k is a constant of proportionality known as the spring constant which is usually given in N/m .

  5. In SI units, displacements are measured in meters (m), and forces in newtons (N or kg·m/s 2). 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).

  6. Discover the phenomena of springs and Hooke's Law. Explore how force applied to a spring results in compression or elongation, and how this relationship is linear. Uncover the concept of restorative force and how it counteracts applied force, keeping our spring in equilibrium. Created by Sal Khan. Questions. Tips & Thanks.

    • 10 min
    • Sal Khan
  7. Spring constant (k ‍ ) Measure of a spring’s stiffness, where a more stiff spring has a larger k ‍ . SI units of N m ‍ . Spring force (F → s ‍ ) Force applied by a spring given by Hooke’s law. SI units of N ‍ . Elastic potential energy (U s ‍ ) Potential energy stored as a result of applying a force to deform a spring-like object.

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