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

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


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