WEBF = − 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 .
WEBTherefore, if F s and x are defined as vectors, Hooke's equation still holds and says that the force vector is the elongation vector multiplied by a fixed scalar. General tensor form. Some elastic bodies will deform in one direction when subjected to …
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5.3: Elasticity - Stress and Strain - Physics LibreTexts
WEBFeb 20, 2022 · OpenStax. Learning Objectives. By the end of this section, you will be able to: State Hooke’s law. Explain Hooke’s law using graphical representation between deformation and applied force. Discuss the three types of deformations such as changes in length, sideways shear and changes in volume.
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5.3 Elasticity: Stress and Strain - College Physics 2e - OpenStax
WEBFirst, the object returns to its original shape when the force is removed—that is, the deformation is elastic for small deformations. Second, the size of the deformation is proportional to the force—that is, for small deformations, Hooke’s law is obeyed. In equation form, Hooke’s law is given by
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Spring potential energy and Hooke's law review - Khan Academy
WEBU s = 1 2 base ⋅ height = 1 2 x ⋅ k x = 1 2 k x 2. Note that the spring constant k is the slope of the line since k = | F → | | x → | . Common mistakes and misconceptions. Although the spring force is a restoring force and has a negative sign, the elastic potential energy U s cannot be negative.
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Intro to springs and Hooke's law (video) | Khan Academy
WEBDiscover 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.
WEBThe normal force per area directed inward ( σ = F/A) is called the compressive stress and the fractional decrease in length ( ε = ∆ℓ/ℓ0) is called the compressive strain. This makes Young's modulus the ratio of compressive stress to compressive strain.
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Hooke's law - Forces and elasticity - AQA - GCSE Combined …
WEBforce = spring constant × extension. \ (F = k~e\) This is when: force ( F) is measured in newtons (N) spring constant ( k) is measured in newtons per metre (N/m) extension ( e ), or...
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Elasticity: Stress and Strain | Physics - Lumen Learning
WEBF = k Δ L, where Δ L is the amount of deformation (the change in length, for example) produced by the force F, and k is a proportionality constant that depends on the shape and composition of the object and the direction of the force. Note that this force is a function of the deformation Δ L —it is not constant as a kinetic friction force is.
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8.6: Elasticity, Stress, Strain, and Fracture - Physics LibreTexts
WEBSecond, the size of the deformation is proportional to the force—that is, for small deformations, Hooke’s law is obeyed. In equation form, Hooke’s law is given by \(\mathrm{F=kΔL}\), where \(\mathrm{ΔL}\) is the change in length. Elasticity is a measure of how difficult it is to stretch an object.