Solved: An 18-lb block A slides in a vertical frictionless

Chapter 19, Problem 19.111

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An 18-lb block A Problems slides in a vertical frictionless slot and is connected to a moving support B by means of a spring AB of constant k = 8 lb/ft. Knowing that the acceleration of the support is \(a=a_{m} \ \sin \ \mathrm{V}_{f} t\), where \(a_{m} = 5 \ ft/s^{2}\) and \(v_{f} = 6 \ rad/s\), determine (a) the maximum displacement of block A, (b) the amplitude of the fluctuating force exerted by the spring on the block.

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