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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.
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.
Hooke's law is a mathematical consequence of the fact that the potential energy of the rod is a minimum when it has its relaxed length. Any smooth function of one variable approximates a quadratic function when examined near enough to its minimum point as can be seen by examining the Taylor series.
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.
Hooke's 1674 Gresham lecture, An Attempt to Prove the Motion of the Earth by Observations (published 1679), said gravitation applies to "all celestial bodies" [115] and restated these three propositions. [116] Hooke's statements up to 1674 make no mention, however, that an inverse square law applies or might apply to these attractions.
Prosecutors said Smirnov was a confidential human source with the FBI and was assigned to a handling agent who was a special agent on an FBI squad that investigated violations of federal criminal law.
1621 – Willebrord Snellius reformulates the laws of refraction and reflection of light into Snell's law. [13] 1660 – Robert Hooke postulates the simplest equation of linear elasticity known as Hooke's law. [14] 1687 – Isaac Newton postulates the Newton's laws of motion. [15] 1729 – Scientist Stephen Gray discovers the electrical ...
After separate deadly New Year’s Day incidents in New Orleans and Las Vegas involving vehicles from Turo, the company’s CEO on Friday said there were no “red flags” about the alleged ...