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Dec 11, 2020 · Spring Force Formula: F = -kx. Unit of Spring Force: Newton or N. Here, k is known as the force constant. The negative sign is because the force is opposite to the displacement, that is, the force displaces the spring from its equilibrium position. This equation applies to both compression and extension of spring.
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The Spring force formula is given by, F = k(x – x 0) Where, the spring force is F, the equilibrium position is x o the displacement of the spring from its position at equilibrium is x, the spring constant is k. The negative sign tells that the visualized spring force is a restoring force and acts in the opposite direction. Spring Force Solved ...
Mar 12, 2024 · This is called Hooke’s law force, or spring force: \[F=-k x. \nonumber \] Here, \(F\) is the restoring force, \(x\) is the displacement from equilibrium or deformation , and \(k\) is a constant related to the difficulty in deforming the system.
Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring. This is known as Hooke's law and commonly written:
- nominal length = original/initial length
- It just tells us that the exerted by the spring will be in the opposite direction to the force applied.
- It varies between spring to spring, depending on what it is made of, the shape of the spring, and the width of the wire.
- gravity won't change the rigidity of the spring, so I think it is the same on other planets
- The nominal length is 50m. But the spring is being extended not compressed and therefore, the formula is L = Li + x= 50 mm +50 mm = 100 mm
- The spring has some length when it is relaxed, right? That's the initial length.
- I think we are only interested in the absolute value. You need not include the negative sign.
- Hooke's law doesn't say that the constant k is negative. The negative sign is only saying that the force is in the opposite direction of the displa...
- I think you're confused as to the difference between gravitational force and potential energy. Close enough to the Earth's surface, we always feel...
The Formula for Spring Force: Simple Harmonic Motion comes under periodic motion. In SHM, the restoring force \(F_x\) is directly proportional to the displacement x.
The force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring for small distances. The force exerted back by the spring is known as Hooke's law
In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of ...