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Q7. A crane lifting wire of 22 mm diameter is found to extend by 1.2 mm per meter length when subjected to a tensile load of 70 kN.

The crane wire is attached to a spare piston ready for lifting. Whilst the crane wire is still slack the piston becomes dislodged from its storage mounting and falls a distance of 30 mm before taking up the slack in the crane wire. The crane wire is 3.8 m long and the instantaneous extension due to the falling piston is 2.8 mm. Calculate EACH of the following:

(a) The modulus of elasticity for the crane wire material;

(b) The mass of the piston.