Question

One end of a vertical metallic wire of length 2.0 m and diameter 1.0 mm is attached to a ceiling, and the other end is attached to a 5.0-N weight pan, as shown below. The position of the pointer before the pan is 4.000 cm. Different weights are then added to the pan area, and the position of the pointer is recorded in the table shown. Plot stress versus strain for this wire, then use the resulting curve to determine Young's modulus and the proportionality limit of the metal. What metal is this most likely to be? Added load (including pan) (N) Scale reading (cm) 4.000 15 4.036 4.073 25 35 4.109 4.146 45 4.181 55 4.221 65 75 4.266 4.316 85 000 00T 002 cm

Answer 1

Answer A = $d ² = 1 (1x10 3 2 18.53X10 F/A sro Yoring modules (Y) = sele strain weifelt (Oncoluching Pau) / Al= (2-4 cm Stain | stress=f 0 | | O 0:036 -8X10| 1910 9x 106 0.073 i 3-65X101 31683x106 6. log 15.45x101 44 568106 0.146. 173X10 4 57 a 29x100 0.181.19.00X10 4 1000g x.106 0. 221 .058104 82-76X106 0.266 13 3x154 95.49x100 0.316 115.88 109 108. 28 X 106 L

Curret sroers Hoo Pa A 12.3 4 5 6 7 8 9 10 11 12 13 14 15 16 strain (x10 on that graph we see srry V = Spain. . momes from 10.60 X to ºmy] 60 618 5xpo" (mga fecond o gradually 3 y a Silver ) - 7. 6x10 N/m2

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