A mass attached to a spring is free to oscillate, with angular velocity ω, in a horizontal plane without friction or damping. It is pulled to a distance x0 and pushed towards the centre with a velocity v0 at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters ω,x0 and v0 . [Hint : Start with the equation x=a cos(ωt+θ) and note that the initial velocity in negative.]