The mass of a spring-mass system with (k=10,000 mathrm{~N} / mathrm{m}) and (m=5 mathrm{~kg}) is made to
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The mass of a spring-mass system with \(k=10,000 \mathrm{~N} / \mathrm{m}\) and \(m=5 \mathrm{~kg}\) is made to vibrate on a rough surface. If the friction force is \(F=20 \mathrm{~N}\) and the amplitude of the mass is observed to decrease by \(50 \mathrm{~mm}\) in 10 cycles, determine the time taken to complete the 10 cycles.
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