b) When an oscillating force is applied to a mass attached to a spring and a viscous damping mechanism, the position x of the mass is the real part of z which satisfies = Fo Jews (i) Outline the physical origin of each term in the above equation. (ii) Assuming that z = de , show that Fom a = ox - 02+ iye (iii) Sketch the magnitude of the amplitude relative to its value at co = 0 as a function of w/0. Your sketch should show the behaviour for different values of the damping constant. Y. (iv) The mass moves at speed v = t. where Fo/m V= 0 -0)2+ (10) you cos (cor) - ( - 2) sin(cor)] . Derive an expression for the mean rate of work performed by the oscillating force