Solved: A metal wire 3.50 m long and 0.70 mm in diameter

Chapter 11, Problem 11.90

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A metal wire 3.50 m long and 0.70 mm in diameter was given the following test. A load weighing 20 N was originally hung from the wire to keep it taut. The position of the lower end of the wire was read on a scale as load was added. Added Load (N) Scale Reading (cm) 0 3.02 10 3.07 20 3.12 30 3.17 40 3.22 50 3.27 60 3.32 70 4.27 (a) Graph these values, plotting the increase in length horizontally and the added load vertically. (b) Calculate the value of Youngs modulus. (c) The proportional limit occurred at a scale reading of 3.34 cm. What was the stress at this point?

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