Hookes Law Equation Experiment - Overview, Structure, Properties & Uses

Hooke’s Law Equation Experiment - Definition, FAQs

Edited By Team Careers360 | Updated on Jun 02, 2022 04:38 PM IST

Over the ages, many innovators have worked hard to create a variety of devices. They're all predicated on a thorough comprehension of the mechanics. Before using, operators need to have a basic understanding of mechanics. One of these is Hooke's law.
The most commonly employed device in this law is spring. This aids in the definition of elasticity, torsion, and force laws. For a play, all of these characteristics come together. Hooke's law is applicable within the spring's valid elastic limit. The only attribute that allows the spring to remain in a limited space is its elasticity. The spring will lose its property if it breaks.

Latest: JEE Main: high scoring chapters | Past 10 year's papers

Don't Miss: Most scoring concepts for NEET | NEET papers with solutions

New: Aakash iACST Scholarship Test. Up to 90% Scholarship. Register Now

This Story also Contains

Hooke’s Law: Definition
Hooke’s law equation:
State Hooke's Law of Elasticity

Also read -

Hooke’s Law: Definition

Hooke's Law is regarded as one of the finest physics principles. This law states that the strain is proportional to stress applied to the material within the elastic limit.

In the 17th century, British physicist Robert Hooke developed. He established a link between the numerous forces applied to a spring and its elasticity.

NCERT Physics Notes:

Hooke’s law equation:

F_S=-kx

Hooke's law is applicable within the spring's valid elastic limit. The only attribute that allows the spring to remain in a limited space is its elasticity. The spring will lose its property if it breaks.

Hooke's Law, on the other hand, only works in a narrow context. This is analogous to the most fundamental law of mechanics. This is due to the fact that no material can be crushed or stretched beyond a specific minimum or maximum size.

Related Topics Link,

State Hooke's Law of Elasticity

There is no way to permanently distort or modify the state of the spring. Hooke's law is only relevant when a little amount of force or deformation is involved. Consider the fact that many materials will diverge dramatically from Hooke's law. This is due to their extremely pliable boundaries.

Some general types of physics can relate Hooke's Law to Newton's rules of static equilibrium since they are mutually compatible. When strain and stress are evaluated simultaneously, the accurate relationship between strain and stress for complicated objects may be traced.

This relationship is entirely dependent on the intrinsic qualities of materials. Consider the case of a homogeneous rod with a uniform cross-section. During the stretching, this rod will function as a basic spring.

The stiffness (k) of the rod is related to the area of the rod's cross-section. Too, according to the law of elasticity, it is inversely proportional to its length.

Hooke’s Law Derivation

In mathematical terms, the following equation can be used to represent Hooke's law:

Hooke’s law equation is:

F_S=-kx

F is the applied force, and it is equal to a constant in this equation. K is a constant that equals k times the displacement or change in length of an item symbolized by x.

Where,

F = Force applied

k = Displacement constant

x = the object's length

Also read :

JEE Main Highest Scoring Chapters & Topics

Just Study 40% Syllabus and Score upto 100%

Download E-book

The amount of k is affected by the type of elastic material, its size, and its shape. When a significant amount of force is applied, the elastic material deforms several times more than the amount predicted by Hooke's Law. The material, on the other hand, remains elastic and returns to its original size when the force is released, and it also retains its shape when the force is removed. Hooke's Law equation can sometimes be written as follows:

Spring restoring force = - Spring constant x spring displacement

F_s = -kx

Where,

F = spring restoring force (Newtons, N)

Spring constant (N/m) = k

x = the spring's displacement (m)

Also check-

Frequently Asked Question (FAQs)

1. What is Hooke's Law?

Hooke’s Law Statement: Hooke's law is a physical law states that the force (F) required 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 in comparison to the total possible spring deformation.

2. Compile a list of Hooke's Law applications.

Hooke's Law can be applied to the following situations:

1. Hooke's Law is applied in every discipline of science and engineering.

2. It is the underlying principle of manometers, spring scales, and clock balance wheels.

3. Seismology, acoustics, and molecular mechanics are all built on this foundation.

3. Determine the force constant if a 200 N force stretches a spring by 1.8 m.

The parameters are as follows: Force F = 200 N,

x = 1.8 m in length.

Hooke’s law equation is:

F_s = -kx

-F / x = k

k = (–200 / 1.8)

k = (–360 N/m)

4. What is Hooke's law equation for a spring?

Mathematically, Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx.

5. What are the Hooke's Law's Limitations?

Despite the fact that Hooke's law is often utilised in engineering, it is not a universal principle. When a material's elastic limit is exceeded, the law is no longer valid. When the deformations are modest, Hooke's law usually gives accurate findings for sold particles. Even before reaching the elastic limit, several materials diverge from Hooke's law.