A 20-kg block is attached to a spring of constant k 5 8

Chapter 19, Problem 19.99

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A 20-kg block is attached to a spring of constant k = 8 kN/m and can move without friction in a vertical slot as shown. The block is acted upon by a periodic force of magnitude \(P=P_{m} \sin  \mathrm{V}_{f} t\), where \(P_{m}=100 \ \mathrm{N}\). Determine the amplitude of the motion of the block if (a) \(\mathrm{v}_{f}=10 \ \mathrm{rad} / \mathrm{s}\), (b) \(\mathrm{v}_{f}=19 \ \mathrm{rad} / \mathrm{s}\), (c) \(\mathrm{v}_{f}=30 \ \mathrm{rad} / \mathrm{s}\).

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