9. Figure Q9 shows a wire of \( 0.8 \mathrm{~mm} \) diameter which is fixed at point \( A \) and has a mass of \( 52 \mathrm{~kg} \) suspended at its other end. The mass is held in equilibrium at angle \( \theta \) by a horizontal force \( F \). The Young's Modulus of the wire is \( 187 \mathrm{kN} / \mathrm{mm}^{2} \).
Figure Q9
a) Find the magnitude of \( F \).
[4 marks]
b) Calculate the stress applied to the wire by the load.
[4 marks]
c) Find the change in length of the wire.
[5 marks]
d) The wire is replaced with new wire, made of the same material, that has larger diameter. The new wire is subject to the same force. Compare the stress and strain experienced by the new wire to that