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 the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram. He published the solution of his anagram in 1678 as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660. Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. 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. 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, the galvanometer, 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 makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials they are 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 k directly proportional to its cross-section area and inversely proportional to its length. (Wikipedia).
Hooke's Law | Mechanical Properties of Solids | Don't Memorise
Hooke's law is the law that is widely used in engineering. In simple terms, Hooke's law experiment relates the Change in Deformation in spring with the Applied Force! Watch this video to find out the relation & learn what is Hooke's law (Mechanical Properties of Solids) In this video, w
From playlist Physics
Simple Harmonic Motion (8 of 16): Hooke's Law, Example Problems
Using one of the PhET interactive simulations, this video goes over an example problem for Hooke's law. I will show you how to graphically determine the spring constant and the mass of three unknown masses. Hooke's states that the force needed to extend or compress a spring by some distanc
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Hooke's Law - Direction Variation Application
This video provides an example of Hooke's Law, which is an application of direction variation. Site:http://mathispower4u.com
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Simple Harmonic Motion (9 of 16): Hooke's Law, Example Problems
This video goes over several different problems for Hooke's law and how to calculate the spring constant. Hooke's states that the force needed to extend or compress a spring by some distance is directly proportional to that distance. The force and the extension are directly proportional to
From playlist Simple Harmonic Motion, Waves and Vibrations
Introduction to Hooke's Law | Statics
https://goo.gl/GtuCrz for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to give an introduction to Hooke’s law followed by a comprehensive workout on finding stress and strain in a column under axial loading. First of all, t
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Simple Harmonic Motion (7 of 16): The Spring Constant, An Explanation
This video explains Hooke's law and how to determine the spring constant. Hooke's states that the force needed to extend or compress a spring by some distance is directly proportional to that distance. The force and the extension are directly proportional to each other. In other words, the
From playlist Simple Harmonic Motion, Waves and Vibrations
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Work and Hooke's Law. In this video, I briefly discuss how to calculate work, discuss Hooke's Law, and then do one simple example calculating work.
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Hooke's Law Introduction - Force of a Spring
Hooke’s law is demonstrated and graphed. Spring constant, displacement from equilibrium position, and restoring force are defined and demonstrated. Want Lecture Notes? http://www.flippingphysics.com/hookes-law.html This is an AP Physics 1 topic. 0:00 Robert Hooke 0:46 Compressing a spring
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AQA A-Level Further Maths I10-01 Hooke’s Law: Introduction
https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dea
From playlist A-Level Further Maths I10: Hooke’s Law
Hooke's Law and Young's Modulus - A Level Physics
A description of Hooke's Law, the concepts of stress and strain, Young's Modulus (stress divided by strain) and energy stored in a stretched material
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Elliptical Orbit of Planets - A Physics Explanation
Elliptical Orbit of Planets can be explained using a spherical Pendulum. In this video Dr. D explains elliptical orbits, precession and the Planet Mercury using a spherical pendulum and some good old fashioned physics. Let us know what you think and click the subscribe button why you're
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Stress and strain in a bar in tension for a linearly elastic material. Lectures created for Mechanics of Solids and Structures course at Olin College.
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L2 NCEA Physics - Forces and Shapes
Lesson on NCEA Level 2 mechanics focusing on Hooke's Law
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Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Consider a mass on a spring moving horizontally. The only force on the mass is the spring itself which we
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