State Hooke's law?

State Hooke's law?

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isaaq
5 days ago
Hooke's law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.
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Gaby
5 days ago
According to the Hooke’s law, the elastic
behaviour of solids can be explained by
the fact that the small displacements (of
molecules, atoms or ions) from their
normal positions are proportional to the
force which causes the displacement.
The deforming force is applied through
compression, stretching, squeezing,
twisting or bending a solid.
Hooke’s law states that the applied force is
equal to a constant times the change in
length or displacement.
F= kx
Where, F is force, K is constant of
proportionality and X is displacement.
STRAIN AND STRESS
Hooke’s law can also be explained in the
terms of strain and stress. Strain is the
deformation produced by the stress. And
stress is the force on the unit areas within
a material caused due to externally applied
force.
Robert Hooke studied the springs and
their elasticity and observed that the
stress vs strain curve for a variety of
materials has a linear region. Within its
certain limits, the force applied or
required to stretch an elastic object (eg. A
metal spring) is directly proportional to
that of the extension of that spring.
DIRECTION OF THE FORCE APPLIED
Even though the direction of force isn’t
established, a negative sign is always
added. It is because of the restoring force
which causes the displacement (since the
spring is already in the opposite
direction). Pulling down a spring will make
the spring extend downwards and the
resulting force would be upwards. Thus, it
is essential to make sure of the fact that
the direction of the restoring force should
be specified consistently while
approaching elastic related mechanic
problems.
USES OF HOOKE’S LAW
Used in all branches of science and
engineering
Foundation for seismology, acoustics
and molecular mechanics.
Fundamental principle behind
manometer, spring scale, balance
wheel of the clock.
LIMITATIONS OF HOOKE’S LAW
The law isn’t a universal principle and
only applies to the materials as long as
they aren’t stretched way past their
capacity.
It ceases to apply past the elastic limit
of a material. If the material is stretched
past its elastic limit, it causes
permanent deformation.
The law is only accurate for most solid
bodies only and if the forces and
deformations are small.
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