A mass m moves along the x-axis subject to an attractive force given by 17β2 mx/2 and a retarding force given by 3βmx, where x is its distance from the origin and β is a constant. A driving force given by mA cos ωt, where A is a constant, is applied to the particle along the x-axis.
(a) What value of ω results in steady-state oscillations about the origin with maximum amplitude?
(b) What is the maximum amplitude?
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