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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_(0)` and `v_(0)`. [Hint : Start with the equation `x = a cos (omegat+theta)` and note that the initial velocity is negative.]

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`sqrt((x_(0)^(2)+(v_(0)^(2))/(omega^(2))))`
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