How do you prove Hooke's law?

Answer 1

Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load applied to it.

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. . stress~strain

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. . stress=constant × strain

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. . stress ÷ strain = constant

The constant of proportionality is called as modulus of of elasticity

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. . modulus of elasticity = stress ÷

strain

S.I. unit of modulus of elasticity is N\m2

CGS unit is dyne\cm2
In mechanics, and physics, Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit. Materials for which Hooke's law is a useful approximation are known as linear-elastic or "Hookean" materials. Hooke's law is named after the 17th century British physicist Robert Hooke. He first stated this law in 1676 as a Latin anagram, whose solution he published in 1678 as Ut tensio, sic vis, which means: "As the extension, so the force." 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, which is the position where the spring would naturally come to rest (usually in meters), 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 newtons per meter). When this holds, we say that the behavior is linear. If shown on a graph, the line should show a direct variation. There is a negative sign on the right hand side of the equation because the restoring force always acts in the opposite direction of the x displacement (when a spring is stretched to the left, it pulls back to the right). For more info try http://en.wikipedia.org/wiki/Hooke's_law
Hooke's Law is the basic law in elasticity.

It states that the extension produced in a wire is directly proportional to the load attached to it .

Thus , according to Hooke's Law ,extension is directly proportional to load. However, this proportionality holds good up to a certain limit called the elastic limit.

This law can be easily verified by suspending a long metallic wire of uniform area of cross-section from a rigid support and noting the extension ( increase in its length ) on loading it .The extension can be measured accurately with a Vernier arrangement. As load is increased in steps, it is found that the extension is directly proportional to the load.

I know dingobot will flag this cause i write hooke's law two times

Answer 2

In mechanics, and physics, Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit. This is very important for Mechanical Engineers in the field of Vibrations. Everything vibrates, either a little or alot. Vibrating system analysis is very useful - think of your car's suspension.

Answer 3

You can never prove a law in science. You can disprove it or add further evidence in its support.