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What is hooke's law , give some explanation

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What is hooke's law , give some explanation

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  1. hooks law states that force is directly proportional to elasticity


  2. Basic

    Hooke 's law states that applied force F is directly proportional to the extension x of spring if its elastic limit is not exceeded

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    From Wikipedia

    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). 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[1], 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:

        \mathbf{F}=-k\mathbf{x} \

    where:

        \ \mathbf{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),

        \ \mathbf{F} is the restoring force exerted by the material (usually in newtons), and

        \ \mathbf{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).

  3. in a system obeying hookes law the force is directly proportional to the displacement of the system from its equilibrium position and is given by da formula

    F=kx where k is da spring constant having a value 1.38*10^ -23

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