A rod of uniform cross-sectional area A and length L has a weight W. It is suspended vertically from a fixed support. If the material of the rod is homogeneous. Then the elongation of the wire is
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Young's modulus = Y = stress/strain
Y = (W/A) / (x/L)
Elongation = x = W L /( A Y)
Y = (W/A) / (x/L)
Elongation = x = W L /( A Y)
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