Problem (1) In the event of a cable failure at D, an air spring A is used to protect the support B and prevent damage to the weight C which has a mass of 12 kg. (a) Plot (i) shows the force developed by the spring as a function of its deformation. Determine the height d from which the block needs to be suspended to cause a maximum spring deformation of 0.12 m in the event the cable fails. (b) If the cable is suspended from the same height d calculated earlier and the force developed by the spring as a function of its deformation is now given by plot (ii), find the maximum spring deformation in this case, knowing that k = 24 kN/m2 in plot (ii). Neglect the mass of the pulley and belt and use the principle of work and energy.