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A steel wire has the following properties: Length = 5.50m Cross-sectional area = 5.00×10?2cm^2 Young's modulus = 2.00\times 10^11 Pa Shear modulus = 0.84\times 10^11 Pa Proportional limit = 3.60\times 10^8 Pa Breaking stress = 11.0\times 10^8 Pa The wire is fastened at its upper end and hangs vertically. How great a weight can be hung from the wire without exceeding the proportional limit? How much does the wire stretch under this load? What is the maximum weight that can be supported?

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