Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

A wire with diameter $d$ and length $l$ is suspended vertically from a fixed support. By attaching a mass $M$ to its lower end, the wire is stretched. The Young modulus of the wire is $E$. The acceleration of free fall is $g$. Which equation is used to find the extension $x$ of the wire?

  • A$x = \dfrac{Ml}{\pi d^2 E}$
  • B$x = \dfrac{Mgl}{\pi d^2 E}$
  • C$x = \dfrac{4Mgl}{\pi d E}$
  • D$x = \dfrac{4Mgl}{\pi d^2 E}$

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