13. The diagrams below show a solid material of volume 1 before tensile loading and aftertensile loading. a) Prove that the value of Poisson's Ratio (V) for an incompressible solid, i.e. a materialwhich displays no volume change during tensile loading, is equal to 0.5.(Hint: ignore values such as 8, a, að, da or da? in your final calculations)See diagrams below. \text { Poisson's ratio } \mathrm{v}=\frac{-\text { lateral strain }}{\text { tensile } \text { strain }} b) Name the 5 types of mechanical loading. (Diagrams showing understanding will be given credit)(5 marks)

Fig: 1

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Fig: 5