Hooke's Law
Mechanical energy is utilized in moving objects, vehicles, and machinery.
Springs are used where there is a need of mechanical energy because it can store Potential energy and Kinetic energy.
To know the maximum or minimum energy to use a spring needs to use Hooke's Law.
Hooke's Law : the force is proportional to the extension.
The Equation of Hooke's Law is :
F = -kx
Hooke's Law can be derived from Spring Constant. The constant (k) is about how much force is needed for 1 extension. So the number of extension multiplied by the constant is the amount of force required.
The negative sign is just optional because it just mentions the direction of the restoring Force.
Anitha Mam's Questions :
Influence of Temperature: Temperature can significantly affect the stiffness and elasticity of materials used in mechanical systems, leading to deviations from the linear relationship predicted by Hooke's Law. Thermal expansion or contraction can alter the material behavior, impacting its applicability.
Material Composition: The material composition determines the elastic properties of a material. Different materials exhibit different elastic behaviors, affecting how they respond to stress and strain as per Hooke's Law. Choosing the right material is crucial for the accurate application of the law in mechanical systems.
Structural Design: The structural design influences how forces are distributed within a system. The geometry, arrangement, and interactions between components can impact the applicability of Hooke's Law. Complex designs may not always adhere to the simple linear relationship proposed by the law.
Indu Mam's Questions :
It must eventually fail once the forces exceed some limit.
I have already said that in the post and the video.
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. (I have mentioned related answer in the Post also)
a) 2cm or 0.02m.
b) 6cm or 0.06m.
c) 50/0.02 = 2500 = k. 150/2500 = 0.06. Ans : 0.06
How do temperature, material composition, and structural design influence the applicability of Hooke's Law in real-world scenarios, particularly in the construction and design of mechanical systems?
Why does hookes law failed?
Why is k negative in hooke?
Where is hookes law used?
A spring has a natural length of 20cm .,when a load of 50 N is applied,the spring becomes 22cm long. how great an extension does 50N force cause?what extension would you expect for a 150 N force?what will the total length be under this force?