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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 the spring.
The first constitutive equation (constitutive law) was developed by Robert Hooke and is known as Hooke's law.It deals with the case of linear elastic materials.Following this discovery, this type of equation, often called a "stress-strain relation" in this example, but also called a "constitutive assumption" or an "equation of state" was commonly used.
This relationship is known as Hooke's law. A geometry-dependent version of the idea [a] was first formulated by Robert Hooke in 1675 as a Latin anagram, "ceiiinosssttuv". He published the answer in 1678: "Ut tensio, sic vis" meaning "As the extension, so the force", [5] [6] a linear relationship commonly referred to as Hooke's law.
Robert Hooke FRS (/ h ʊ k /; 18 July 1635 – 3 March 1703) [4] [a] was an English polymath who was active as a physicist ("natural philosopher"), astronomer, geologist, meteorologist and architect. [5] He is credited as one of the first scientists to investigate living things at microscopic scale in 1665, [6] using a compound microscope that ...
However, if the mass is displaced from the equilibrium position, the spring exerts a restoring elastic force that obeys Hooke's law. Mathematically, F = − k x , {\displaystyle \mathbf {F} =-k\mathbf {x} ,} where F is the restoring elastic force exerted by the spring (in SI units: N ), k is the spring constant ( N ·m −1 ), and x is the ...
The stress is proportional to the strain, that is, obeys the general Hooke's law, and the slope is Young's modulus. In this region, the material undergoes only elastic deformation. The end of the stage is the initiation point of plastic deformation. The stress component of this point is defined as yield strength (or upper yield point, UYP for short
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1621 – Willebrord Snellius: Snell's law; 1632 – Galileo Galilei: The Galilean principle (the laws of motion are the same in all inertial frames) 1660 – Blaise Pascal: Pascal's law; 1660 – Robert Hooke: Hooke's law; 1662 – Robert Boyle: Boyle's law; 1663 – Otto von Guericke: first electrostatic generator