Question

A 4.0-m-long steel wire has a cross-sectional area of 0.050cm2. Its proportional limit has a value of 0.0016 times its Young's modulus. Its breaking stress has a value of 0.0065 times its Young's modulus. The wire is fastened at its upper end and hangs vertically.

A. How great a weight can be hung from the wire without exceeding the proportional limit? Take the Young's modulus for the rod to be Y=2.0×1011Pa.

B. How much will the wire stretch under this load?

Answer 1

A) F = 0.0016YA, F= 1600N

B) Delta L = FL/AY, Delta L = 0.0064 m or 6.4 mm

C) F = 0.0065YA, F = 6500N
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Just did this problem and it's correct, I got'chu.

Answer 2

thank you!

Answer 3

How great a weight can be hung from the wire without exceeding the proportional limit? Take the Young's modulus for the rod to be Y=2.0×1011Pa.