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What is Hooke's Law?

In the subject of physics, Hooke's law can be said to be an empirical law that specifies that the force (F) that is required to extend or else compress any spring by a few distances (x) scales linearly in regard to that specific distance—that can be said to be, Fs = kx, where the k can be said to be a constant factor feature of the spring (that is, its stiffness), and x can be said to be small in comparison to the entire possible deformation of the particular spring. The law is actually termed after the 17th century British physicist named Robert Hooke. He first mentioned the law in the year 1676 in the form of a Latin anagram.

Importance of Hooke's Law

Hooke's law is certainly very important in order to understand the specific behavior or conduct of the specific material when it has been stretched or else compressed. It can be said to be very important in order to improve and augment the technology by understanding of the material behavior or conduct properties. Therefore, it can be said that Hooke’s law is actually important because it actually helps a person to understand the manner in which any stretchy object shall behave when it has been stretched or else compacted.

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Hooke's Law Examples

Solved Examples

Example 1

Spring is actually stretched by ten cm and possesses a force constant of 2 cm /dyne. One has to determine the Force that has been applied.

Solution:

Given parameters can be said to be

Force constant k can be said to be 2 cm/dyne,

Extension x = 10 cm.

The force formula has been given by

F = – k x

= – 2 × 10 cm

= – 20 N

Example 2

One has to determine the force constant when any force of 100 N can be said to have been stretching any spring by 0.8 m.

Solution:

Given parameters can be said to be

Force F = 100 N,

Extension, x = 0.2 m.

The force constant formula is actually provided by

k = – F / x

= – 100 / 0.8

k = – 125 N/m.

Hooke's Law Formula & Graph

Hooke’s Law Formula has been provided as

F = -K x

Where,

F can be said to be the amount of the force that is applied in N,

x can be said to be the displacement in the specific spring in the m,

k can be said to be the spring constant or else the force constant.

The application of Hooke’s law formula shall be possible to be made in order to determine the specific force constant, the displacement, as well as the force in any stretched spring.

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Hooke's Law Application

The applications of Hooke’s Law is as provided below:

  • Most commonly, in regular life, Hooke’s Law can be said to be applied in the springs due to their elasticity.
  • They are actually utilized not in relation to the engineering field as well as in relation to the field of medical science.
  • It is actually utilized in breathing (the lungs), the skin, the spring beds, the diving boards as well as the cars suspension systems.
  • It is actually utilized in the form of a fundamental principle in arrears of the manometer, the spring scale as well as the balance wheel of the specific clock.
  • It is also utilized in the form of the foundation for seismology, acoustics as well as molecular mechanics.

Why do We Need Hooke's Law?

We need Hooke’s law because, in regular life, Hooke’s Law can be said to be applied in the springs due to their elasticity. They are actually utilized not in relation to the engineering field as well as in relation to the field of medical science. It is actually utilized in breathing (the lungs), skin, spring beds, diving boards as well as the cars suspension systems. It is actually utilized in the form of a fundamental principle in arrears of the manometer, the spring scale as well as the balance wheel of the specific clock. It is also utilized in the form of the foundation for seismology, acoustics as well as molecular mechanics.

Disadvantages of Hooke's Law

The following can be said to be the disadvantages: -

  • Hooke's law actually ceases to apply after the elastic perimeter of any material.
  • Hooke's law is precise only for solid bodies if the specific forces, as well as deformations, are actually small.
  • Hooke's law cannot be said to be a universal principle, and it only applies in relation to the materials only when they are not stretched way past the capacity.

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Most Popular FAQs Searched By Students

Question: Does Hooke's Law Apply to All Materials?

Answer: Hooke's law actually applies in relation to a flawlessly elastic material, and it does not apply outside the elastic perimeter of any specific material.

Question: Is Hooke's Law Linear?

Answer: Hooke's Law can be said to be linear. Hooke's law actually states that the particular restoring force is actually proportional in relation to the specific displacement.

Question: What are the Various Types of Strain?

Answer: Types of Strain

  • Longitudinal Strain

When any tensile or any compressive stress is actually induced on any specific body, the length in relation to the body alters. 

  • Lateral Strain

When the compressive or the tensile stress is actually induced on any specific body, the cross-section area in relation to the body alters because of the application of the compressive or the tensile forces, respectively.

  • Shear Strain

When any tangential force is actually applied in relation to the surface of the specific body, the surface shifts away from the original position.

  • Volumetric Strain

When pressure is actually applied in relation to the body, the hydraulic stresses are actually produced in it. Because of the specific development of the hydraulic stresses, any strain is actually produced in the specific body.

Question: When does Hooke's Law Fail?

Answer: It must ultimately fail after the forces surpass some limit.

Question: Why is Hooke's Law Negative?

Answer: Because it actually acts in the opposite specific direction as the particular applied force.

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