The relation between stretch and load is given by the Hooke's law:
Amg=YLΔL where m=225kg is the mass of the load, g=9.81m/s2 is the constant, ΔL=1mm=10−3m is the strech, L=4m is the length of the rod, A=0.5cm2=0.5⋅10−4m2 and Y is the Young's modulus.
Expressing the Young's modulus, get:
Y=AΔLmgL=0.5⋅10−4⋅10−3225⋅9.81⋅4=176.58⋅109Pa=176.58GPa Answer. 176.58 GPa.
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