## A mass attached to a spring is free to oscillate, with angular velocityω, 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 is negative.]

A mass attached to a spring is free to oscillate, with angular velocityω, 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. Read More …