according to hooke's law the force required to change the length of a wire by 'e' is proportional to e.pls elaborate and explain with steps.

Asked by gunjansingh | 10th Sep, 2010, 12:00: AM

Expert Answer:

Hooke's law of elasticity is an approximation that states that the extension of a spring (strain) is in direct proportion with the load added to it (stress) 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 in simple terms says that strain is directly proportional to stress.

Mathematically, Hooke's law states that

where

x is the displacement of the end of the spring from its equilibrium position (in SI units: "m");
F is the restoring force exerted by the material (in SI units: "N" or kgms-2); and
k is the force constant (or spring constant) (in SI units: "N·m-1" or "kgs-2").
In simple words, the force required to extend a wire by 'e' metres, is proportional to 'e'. if e is large, than large force is required. if 'e' is small, lesser force is required.
 
i.e. if e1 > e2
then force required to deflect a wire by e1 is greater than the force required to deflect the wire by e2

Answered by  | 10th Sep, 2010, 02:30: PM

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