Hooke's Law in hindi || Hooke's law strength of materials || Hooke's Law applied mechanics hindi
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a law stating that the strain in a solid is proportional to the applied stress within the elastic limit of that solid.
Hooke's law is a law of physics that 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, {\displaystyle F_{s}=kx}{\displaystyle 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 law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] 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 already in 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.
in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load. Under these conditions the object returns to its original shape and size upon removal of the load. Elastic behaviour of solids according to Hooke’s law can be explained by the fact that small displacements of their constituent molecules, atoms, or ions from normal positions is also proportional to the force that causes the displacement.
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 makes 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 k directly proportional to its cross-section area and inversely proportional to its length.
Видео Hooke's Law in hindi || Hooke's law strength of materials || Hooke's Law applied mechanics hindi канала Gear Institute Mechanical Engineering Videos
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ALL IN 1 AE/JE EXAM LIVE CLASSES (TECHNICAL +NON TECHNICAL) (2 YEAR VALDITY)
http://bit.ly/3uPICTG
ALL IN 1 AE/JE EXAM LIVE CLASSES (TECHNICAL ONLY) (1Year Validity)
http://bit.ly/3ZR9Pne
ALL IN 1 AE/JE EXAM LIVE CLASSES (TECHNICAL ONLY) (2Year Validity)
https://bit.ly/3O6sndO
SSC JE RECORDED COURSE (2YEAR VALIDITY).
http://bit.ly/3CSOuzH
SSC JE RECORDED COURSE (1YEAR VALDITY)
http://bit.ly/3W9LVjv
Mechanical MCQ Book written by Er.Harvinder Singh
Order your copy click here
https://bit.ly/MCQBOOK
Strength of material Full Syllabus
https://bit.ly/38jyEBX
Fluid Mechanics Full Syllabus
https://bit.ly/3uNsG3z
Theory of machine Full Syllabus
https://bit.ly/3xRPQJk
Thermodynamics Full Syllabus
https://bit.ly/3k7lXws
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Automobile Engineering Full Syllabus
https://bit.ly/3wMMm8S
Refrigeration and air conditioning Full Syllabus
https://bit.ly/3Q2tHyy
Power plant engineering
http://bit.ly/3kGoj9v
Workshop Technology
https://bit.ly/3QGsNIo
Industrial Engineering
https://bit.ly/3vvyyjq
a law stating that the strain in a solid is proportional to the applied stress within the elastic limit of that solid.
Hooke's law is a law of physics that 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, {\displaystyle F_{s}=kx}{\displaystyle 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 law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] 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 already in 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.
in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load. Under these conditions the object returns to its original shape and size upon removal of the load. Elastic behaviour of solids according to Hooke’s law can be explained by the fact that small displacements of their constituent molecules, atoms, or ions from normal positions is also proportional to the force that causes the displacement.
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 makes 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 k directly proportional to its cross-section area and inversely proportional to its length.
Видео Hooke's Law in hindi || Hooke's law strength of materials || Hooke's Law applied mechanics hindi канала Gear Institute Mechanical Engineering Videos
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