Hooke’s Law: Difference between revisions
| Line 11: | Line 11: | ||
'''F = -kX''' | '''F = -kX''' | ||
''F'' - restoring force, force by which the free end of the spring is being pulled | ''F'' - restoring force, force by which the free end of the spring is being pulled, SI Units: Newtons | ||
''k'' - spring constant, an inherent property of the string | ''k'' - spring constant, an inherent property of the string, SI Units: Meters | ||
''X'' - spring displacement from the spring's free end while at equilibrium position | ''X'' - spring displacement from the spring's free end while at equilibrium position, SI Units: Newtons/Meters | ||
==Examples== | ==Examples== | ||
Revision as of 10:27, 10 April 2016
Vinutna Veeragandham
Hooke's Law: the force needed to extend or compress a spring by some distance is proportional to that distance.
The Main Idea
Hooke's Law demonstrates the relationship between forces applied to a spring and elasticity. It states that the force needed to extend or compress a spring by some distance is proportional to that distance. This law applies to many different materials such as balloons or strings; an elastic body to which Hooke's law applies is known as linear-elastic. Hooke's Law has been the basis for the modern Theory of Elasticity, led to creation of new inventions as well as been the foundation of many different branches of science such as seismology, molecular mechanics and acoustics.
A Mathematical Model
F = -kX
F - restoring force, force by which the free end of the spring is being pulled, SI Units: Newtons
k - spring constant, an inherent property of the string, SI Units: Meters
X - spring displacement from the spring's free end while at equilibrium position, SI Units: Newtons/Meters