Physics, asked by shub92, 1 year ago

PE stressed of string

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Answered by terabaap167
0
Hooke's Law, F = -kx, where F is the force and x is the elongation.


The work done = energy stored in stretched string = F.dx


The energy stored can be found from integrating by substituting for force,


and we find,


The energy stored = kx2/2, where x is the final elongation.


The energy density = energy/volume


= (kx2/2)/(AL)


=1/2(kx/A)(x/L) = 1/2(F/A)(x/L) = 1/2(stress)(strain)
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