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An underdamped oscillator, where gamma = omega/3, is initially at rest and is subjected to a driving force given by
F(t)= Asin(omega*t)+Bsin(3*omega*t),
where omega is the natural frequency of the oscillator.
(a)Using the Principle of Superposition, find the motion of the oscillator.
(b) Determine the ratio of B to A that is required in order for the forced oscillation acting at a frequency of 3omega to have the same amplitude as that operating at a frequency of omega
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