*17-60. The drum has a weight of 80 lb and a radius of

Chapter 18, Problem 17-60

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The drum has a weight of \(80 \mathrm{lb}\) and a radius of gyration \(k_O=0.4 \mathrm{ft}\). If the cable, which is wrapped around the drum, is subjected to a vertical force \(P=15 \mathrm{lb}\), determine the time needed to increase the drum's angular velocity from \(\omega_1=5 \mathrm{rad} / \mathrm{s}\) to \(\omega_2=25 \mathrm{rad} / \mathrm{s}\). Neglect the mass of the cable.

                                                                 

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