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- Hooke's_law abstract "Hooke's law is a principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance. That is:where is a constant factor characteristic of the spring, its stiffness.Hooke's equation in fact holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, a musician plucking a string of a guitar, or the filling of a party balloon. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.Hooke's law is only a first order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. In fact, many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers. In this general form, Hooke's law and Newton's laws of static equilibrium make it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness directly proportional to its cross-section area and inversely proportional to its length.Hooke's law is named after the 17th century British physicist Robert Hooke. He first stated this law in 1660 as a Latin anagram, whose solution he published in 1678 as Ut tensio, sic vis; literally translated as: "As the extension, so the force" or a more common meaning is "The extension is proportional to the force".".
- Hooke's_law thumbnail Hookes-law-springs.png?width=300.
- Hooke's_law wikiPageExternalLink lecture-10.
- Hooke's_law wikiPageExternalLink demo_hook.html.
- Hooke's_law wikiPageID "229553".
- Hooke's_law wikiPageRevisionID "606201601".
- Hooke's_law hasPhotoCollection Hooke's_law.
- Hooke's_law subject Category:1660_in_science.
- Hooke's_law subject Category:Elasticity_(physics).
- Hooke's_law subject Category:Solid_mechanics.
- Hooke's_law subject Category:Springs_(mechanical).
- Hooke's_law comment "Hooke's law is a principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance. That is:where is a constant factor characteristic of the spring, its stiffness.Hooke's equation in fact holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, a musician plucking a string of a guitar, or the filling of a party balloon.".
- Hooke's_law label "Hooke's law".
- Hooke's_law label "Hookesches Gesetz".
- Hooke's_law label "Legge di Hooke".
- Hooke's_law label "Lei de Hooke".
- Hooke's_law label "Ley de elasticidad de Hooke".
- Hooke's_law label "Loi de Hooke".
- Hooke's_law label "Prawo Hooke’a".
- Hooke's_law label "Wet van Hooke".
- Hooke's_law label "Закон Гука".
- Hooke's_law label "قانون هوك".
- Hooke's_law label "フックの法則".
- Hooke's_law label "胡克定律".
- Hooke's_law sameAs Hookův_zákon.
- Hooke's_law sameAs Hookesches_Gesetz.
- Hooke's_law sameAs Νόμος_του_Χουκ.
- Hooke's_law sameAs Ley_de_elasticidad_de_Hooke.
- Hooke's_law sameAs Loi_de_Hooke.
- Hooke's_law sameAs Hukum_Hooke.
- Hooke's_law sameAs Legge_di_Hooke.
- Hooke's_law sameAs フックの法則.
- Hooke's_law sameAs 훅_법칙.
- Hooke's_law sameAs Wet_van_Hooke.
- Hooke's_law sameAs Prawo_Hooke’a.
- Hooke's_law sameAs Lei_de_Hooke.
- Hooke's_law sameAs m.01hdsr.
- Hooke's_law sameAs Q170282.
- Hooke's_law sameAs Q170282.
- Hooke's_law wasDerivedFrom Hooke's_law?oldid=606201601.
- Hooke's_law depiction Hookes-law-springs.png.
- Hooke's_law isPrimaryTopicOf Hooke's_law.
