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I've come across this statement in Berkeley Physics Course, Vol.1 - Cp. 5 (pg.149):

**"For sufficiently small displacements such a force may be produced by a stretched or compressed spring. For large elastic displacements we must add terms in higher powers of x to Eq. (,5.19): Fx = - Cx."**I tried to find on internet explanations about how this change in Hooke's law happens when large displacements are involved, but I couldn't find a convincing explanation. Could anyone here help me?

Cheers,

Luke.