science physics

# What is generalized Hooke's Law?

Last Updated: 28th March, 2020

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Generalized Hooke's Law. The generalized Hooke's Law can be used to predict the deformations caused in a given material by an arbitrary combination of stresses. The linear relationship between stress and strain applies for.

Herein, what is Hooke's Law and explain?

Hooke's law, law of elasticity discovered by the English scientist Robert Hooke 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.

Also Know, is Hooke's law valid for all materials? General application to elastic materials Hooke's law only holds for some materials under certain loading conditions. Steel exhibits linear-elastic behavior in most engineering applications; Hooke's law is valid for it throughout its elastic range (i.e., for stresses below the yield strength).

Besides, what is Hooke's Law used for?

Hooke's Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance is proportional to that distance. In addition to governing the behavior of springs, Hooke's Law also applies in many other situations where an elastic body is deformed.

What is the spring constant k?

k is the spring constant, in Newtons per meter (N/m), and x is the displacement of the spring from its equilibrium position. The spring constant, k, is representative of how stiff the spring is. Stiffer (more difficult to stretch) springs have higher spring constants.

Professional

## How do you do Hooke's Law?

Hooke's Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke's Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).

Professional

## Why is K negative in Hooke's Law?

The force exerted by a spring is called a restoring force; it always acts to restore the spring toward equilibrium. In Hooke's law, the negative sign on the spring's force means that the force exerted by the spring opposes the spring's displacement.

Professional

## What are Newton's 3 laws?

Newton's three laws of motion may be stated as follows: Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it. Force equals mass times acceleration [ ]. For every action there is an equal and opposite reaction.

Explainer

## What do you mean by force?

In science, force is the push or pull on an object with mass that causes it to change velocity (to accelerate). Force represents as a vector, which means it has both magnitude and direction.

Explainer

## What is Hooke's Law does it apply to elastic?

Hooke's law is defined as the extension or compression of an elastic material directly proportional to the applied force. Hooke's law only applies to elastic materials and not to inelastic materials. The distance beyond which permanent distortion occurs is called the elastic limit.

Explainer

## What is the limitation of Hooke's Law?

The limitation of Hooke's law is that there is a point beyond which his law is no longer true when stretching a material. His law is applicable to a perfectly elastic material and does not apply beyond the elastic limit of any material.

Pundit

## What does K mean in physics?

K (upper case) in physics usually refers to degrees Kelvin (i.e. temperature) Then k as it appears (lower case) in the SI series of letters for prefixes of powers of 10. m (i.e. lower case) is the SI multiplier for 1 thousandth (10^-3) (milli)

Pundit

## What is Hooke's law for stress and strain?

Hooke's law states that. the strain of the material is proportional to the applied stress within the elastic limit of that material. When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state.

Pundit

## What is a force constant?

Force constant mainly means spring constant in physics, which ultimately refers to Hooke's law. Hooke's law is a principle of physics that states that the force (F) needed to extend or compress a spring by some distance X is proportional to that distance.

Pundit

## What is the limit of proportionality?

The limit of proportionality is the is the point beyond which Hooke's law is no longer true when stretching a material. The elastic limit is the point beyond which the material you are stretching becomes permanently stretched so that the material does not return to its original length when the force is removed.

Teacher

## What is stress in material?

In mechanics and materials science, stress (represented by a lowercase Greek letter sigma – σ) is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material which is not a physical

Teacher

## What is Newton's second law?

Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

Teacher

## What does F KX mean?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

Teacher

## What obeys Hooke's Law?

Hooke's Law states that, for certain elastic materials, force is proportional to extension, when a sample is stretched. This means that the extension of the sample increases linearly with the amount of force applied. Materials that obey Hooke's law are called Hookean Materials. Springs behave like Hookean Materials.

Reviewer

## What is Poisson's ratio used for?

Poisson's ratio is a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. Conversely, if the material is stretched rather than compressed, it usually tends to contract in the directions transverse to the direction of stretching.

Reviewer

## Do all springs obey Hooke's Law?

Beyond storing and releasing energy, another important aspect of the physics of springs is Hooke's Law. Hooke's Law states that the more you deform a spring, the more force it will take to deform it further. Because of this trait, springs that obey Hooke's law fall into the category of “linear force” springs.

Reviewer

## What does not obey Hooke's Law?

Hooke's Law states that, for certain elastic materials, force is directly depends on extension, when a sample (substance) is stretched. Materials that obey Hooke's law are called Hookean Materials. There is nothig in universe which does not obey Hook's law because every substance has a elasticity with elastic limit.

Reviewer

## What is stiffness constant?

stiffness constant. [′stif·n?s ‚kän·st?nt] (mechanics) Any one of the coefficients of the relations in the generalized Hooke's law used to express stress components as linear functions of the strain components. Also known as elastic constant.

Supporter

## What is spring factor?

The ratio of the force affecting the spring to the displacement of the spring is known as spring factor. It is denoted by the letter k. it is derived on the basis of hooke's law.

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28th March, 2020

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