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As shown in the above diagram, a flat object of mass m = 11.8kg oscillates at...

As shown in the above diagram, a flat object of mass m = 11.8kg oscillates at the end of a vertical spring with a spring constant of k = 2060kg/s2. There is air resistance due to the shape of the object at the end of the spring where the damping coefficient is b = 3.05 kg/s. (a) What is the angular frequency of oscillation? (b) How long does it take for the energy of the system to decrease by 10%?

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Answer #1

a] Here , w = sqrt(k/m) = sqrt(2060/11.8) = 13.21 rad/s

b] Here E/E0 = e^(-bt/m)

0.90 = e^(-3.05*t/11.8)

t = 0.4076 s

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