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What is the force exerted back by a spring called?
What is the proportional constant of a spring?
How do you find the proportionality of a spring?
What is a restoring force of a spring?
Mar 12, 2024 · The simplest oscillations occur when the restoring force is directly proportional to displacement. This is called Hooke’s law force, or spring force: \[F=-k x. onumber \] 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 ...
This is known as Hooke's law and commonly written: 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 .
- What is nominal length?nominal length = original/initial length
- I didn't understood what that minus in formula was for?It just tells us that the exerted by the spring will be in the opposite direction to the force applied.
- The spring constant is the same for all springs or different? explain.It varies between spring to spring, depending on what it is made of, the shape of the spring, and the width of the wire.
- is spring constant is same on another planet?gravity won't change the rigidity of the spring, so I think it is the same on other planets
- I have a question on example 2a. If the nominal length is 50mm, and the compression is of 50mm then ...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
- I don't understand what the length notations of springs refers to. For example, strain is defined as...The spring has some length when it is relaxed, right? That's the initial length.
- Why is k=E.A/L? if we put K = -F.x and E=stress/strain = (F/A)/(x/L) = F.L/(A.x) then we get -F.x = ...I think we are only interested in the absolute value. You need not include the negative sign.
- in exercise 1, when we divided F over K, why the K isn't negative as hooke's law said?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...
- In exercise 1, how come the F (force) is equal to mg, not mgh? When the person steps on, there is st...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...
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, Fs = 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 ...
- Overview
- Key terms
- Hooke’s law
- How to analyze a spring force vs. displacement graph
- Common mistakes and misconceptions
- Learn more
Review the key concepts, equations, and skills for spring potential energy and Hooke's law. Understand how to analyze a spring force vs. displacement graph.
[What happens when a spring is stretched too far?]
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
F→s=−kx→
Where Fs is the force exerted by the spring, x is the displacement relative to the unstretched length of the spring, and k is the spring constant.
The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement. This is why there is a negative sign in the Hooke’s law equation. Pulling down on a spring stretches the spring downward, which results in the spring exerting an upward force.
The area under the force in the spring vs. displacement curve is the work done on the spring. Figure 1 shows a plot of force on the spring vs. displacement, where displacement is 0 when the spring is unstretched. The work done on a spring stores elastic potential energy Us in the spring until the spring goes back to its original length. Therefore, Us is equal to the work done and also to the area under the curve.
The area is a triangle with the following equation:
Us=12base⋅height=12x⋅kx=12kx2
Note that the spring constant k is the slope of the line since k=|F→||x→| .
Although the spring force is a restoring force and has a negative sign, the elastic potential energy Us cannot be negative. As soon as the spring is stretched or compressed, there is positive potential energy stored in the spring.
For deeper explanations of elastic potential energy, see our video introducing springs and Hooke's law and the video on potential energy stored in a spring.
To check your understanding and work toward mastering these concepts, check out the exercise on calculating spring force and the exercise on calculating elastic potential energy.
Hooke's law is an empirical physical law describing the linear relationship between the restorative force exerted by a spring and the distance by which the spring is displaced from its equilibrium length. A spring which obeys Hooke's law is said to be Hookean. In addition to springs, Hooke's law is often a good model for arbitrary physical systems that exhibit a tendency to ...
Since the force the spring exerts on you is equal in magnitude to your weight, you exert a force equal to your weight on the spring, compressing it. The change in length of the spring is proportional to your weight. Spring scales use a spring of known spring constant and provide a calibrated readout of the amount of stretch or compression ...
Hooke's Law states that the force F exerted by a spring is proportional and in the opposite direction to the displacement x of the end of the spring. The constant of proportionality k is called the spring constant. F spring = -kx. When the force is in the opposite direction from displacement, this is an example of a restoring force.
