Question

A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same force. If the diamond rod stretches by 2.30 times 10^-6 m, by what amount will the tungsten rod stretch? Young's modulus for diamond = 1.22 times 10^12 N/m^2; for tungsten = 3.60 times 10^11 N/m^2. A spider of mass 7.0 times 10^-4 kg hangs from a 75.4-cm-long thread whose diameter is 2.0 times 10^-3 mm. Young's modulus of thread is 3. times 10^9 N/m^2. By how much does the thread stretch? The graph below represents the stress versus strain for a particular material. What is the Young's modulus for this material?

Answer 1

a) e know that the young's modulus is FL AAL The force area and length are same for both, so FLd YAAL Y FL AAL AL AL 1.22×10ー×2.3×10-6 3.6 x101 12 = 7.79×10-6 m

b) The force on the thread is due to the gravitational pull on the spider FL AAN FL YA mgL YA 7x10 x9.8 x0.754 3x109×1m(10-3) AL = 0.54 x 10-6 m