Within the elastic limit, find the work done by a stretching force on a wire.
L = length of wire
A = area of cross section of wire
r = radius of cross section of wire
l = elongation of the wire by applying load.
If the wire is perfectly elastic then,
c. Let ‘f’ be the restoring force and ‘x’ be its corresponding extension at certain instant during the process of extension.
d. Let ‘dW’ be the work done for the further small extension ‘dx’.
e. The total amount of work done in stretching the wire from 0 to l can be found out by integrating equation (3).
`W=int_0^ldW=int_0^l(YAx)/Ldx=(YA)/L int_0^lx dx`
`therefore W=1/2xxfxxl` ..................(4)
Equation (4) represents the work done by stretching a wire.
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