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
Mathematical Form of Hookes Law:
For systems that obey Hooke’s law, the extension produced is directly proportional to the load:
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).
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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