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A mass attached to a spring is free to o...

A mass attached to a spring is free to oscillate, with angular velocity `omega`, in a horizontal plane without friction or damping. It is pulled to a distance `x_0` and pushed towards the centre with a velocity `v_0` at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters `omega , x_0and v_0`.

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