Hooke's Law Quiz

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Questions and Answers

What is the relationship between stress and strain according to Hooke's law?

  • They are inversely proportional
  • Stress is always greater than strain
  • They are proportional to each other (correct)
  • They are unrelated

What is the term used for the proportionality constant in Hooke's law?

  • Strain factor
  • Modulus of elasticity (correct)
  • Stress constant
  • Coefficient of deformation

Is Hooke's law applicable to all materials?

  • Yes, it is universally applicable
  • Only for metals
  • No, some materials do not exhibit the linear relationship (correct)
  • It is applicable only at high temperatures

According to Hooke's law, stress and strain are not proportional to each other for small deformations.

<p>False (B)</p> Signup and view all the answers

The proportionality constant in Hooke's law is known as the modulus of elasticity.

<p>True (A)</p> Signup and view all the answers

Hooke's law is found to be valid for all materials, regardless of their properties.

<p>False (B)</p> Signup and view all the answers

According to Hooke's law, stress and strain are ______ to each other for small deformations.

<p>proportional</p> Signup and view all the answers

Hooke’s law is an ______ law and is found to be valid for most materials.

<p>empirical</p> Signup and view all the answers

The proportionality constant in Hooke's law is known as modulus of ______.

<p>elasticity</p> Signup and view all the answers

Explain Hooke's law and provide an example of a material that does not exhibit a linear relationship between stress and strain according to this law.

<p>Hooke's law states that for small deformations, stress is proportional to strain, expressed as stress = k × strain, where k is the proportionality constant known as modulus of elasticity. An example of a material that does not exhibit a linear relationship between stress and strain is a viscoelastic material like rubber, which shows time-dependent deformation and stress.</p> Signup and view all the answers

Discuss the significance of Hooke's law in the study of material properties and mechanical behavior.

<p>Hooke's law is significant in understanding the elastic behavior of materials under small deformations. It provides a simple linear relationship between stress and strain, allowing for the determination of material properties such as Young's modulus and the ability to predict the deformation of a material under a given load.</p> Signup and view all the answers

What are the limitations of Hooke's law and under what conditions would it not be applicable for a material?

<p>Hooke's law is not applicable for materials that undergo large deformations or exhibit non-linear behavior under stress. It also does not hold true for materials like rubber, which display viscoelastic behavior and time-dependent deformation. Additionally, at high stresses, some materials may exhibit plastic deformation, rendering Hooke's law invalid for those conditions.</p> Signup and view all the answers

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Study Notes

Hooke's Law

  • Hooke's law states that stress and strain are directly proportional to each other for small deformations.
  • The proportionality constant in Hooke's law is known as the modulus of elasticity.

Applicability of Hooke's Law

  • Hooke's law is not applicable to all materials, but rather to most materials.
  • The law is valid only for small deformations, and not for large deformations or when the material undergoes plastic deformation.

Limitations of Hooke's Law

  • Hooke's law is not applicable when the material exhibits non-linear behavior, such as rubber or plastic.
  • The law is also not applicable when the material undergoes permanent deformation or when the stress-strain curve is not linear.

Significance of Hooke's Law

  • Hooke's law is significant in the study of material properties and mechanical behavior as it provides a simple and useful way to predict the behavior of materials under different types of loading.
  • The law is used to calculate the modulus of elasticity, which is an important material property.

Example of Material Not Exhibiting Linear Relationship

  • Rubber is an example of a material that does not exhibit a linear relationship between stress and strain, and therefore does not follow Hooke's law.

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