This law has had many important practical applications, with one being the creation of a balance wheel, which made possible the creation of the mechanical clock, the portable timepiece, the spring scale and the manometer aka.
Also, because it is a close approximation of all solid bodies as long as the forces of deformation are small enough , numerous branches of science and engineering as also indebted to Hooke for coming up with this law.
These include the disciplines of seismology, molecular mechanics and acoustics. Because no material can be compressed beyond a certain minimum size or stretched beyond a maximum size without some permanent deformation or change of state, it only applies so long as a limited amount of force or deformation is involved. Together, they make it possible to deduce the relationship between strain and stress for complex objects in terms of the intrinsic materials of the properties it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Any spring when compressed or extended almost perfectly conserves the energy applied to it. The only energy lost is due to natural friction.
A spring released from a deformed position will return to its original position with proportional force repeatedly in a periodic function. Skip to main content. Waves and Vibrations.
Search for:. Key Terms elasticity : The property by virtue of which a material deformed under the load can regain its original dimensions when unloaded. Elastic Potential Energy If a force results in only deformation, with no thermal, sound, or kinetic energy, the work done is stored as elastic potential energy.
Learning Objectives Express elastic energy stored in a spring in a mathematical form. Key Takeaways Key Points In order to produce a deformation, work must be done. Deformation can also be converted into thermal energy or cause an object to begin oscillating. Key Terms deformation : A transformation; change of shape.
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