Hooke’s law of elasticity:
In mechanics, and physics, Hooke’s law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress).
Behavior is linear, If shown on a graph, the line should show a direct
variation.
Mathematical Form of Hookes Law:
For systems that obey Hooke’s law, the extension produced is directly proportional to the load:
F=-kX Where
X=is the distance that the spring has been stretched or compressed away from the equilibrium position.
F=is the restoring force exerted by the material (usually in newtons), and
K=is the force constant (or spring constant). The constant has units of force per unit length (usually in newton per meter).
Elastic Materials:
Objects that quickly regain their original shape after being deformed by a force, with the molecules or atoms of their material returning to the initial state of stable equilibrium, often obey Hooke’s law.
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