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The free oscillations of a mechanical system are observed to have a certain angular frequency w1. The same system, when driven by a force f(t)= F0 cos wt , has a power resonance curve whose width, at half maximum, is w1/5.
a) what is the resonant frequency, i.e. the angular frequency at which power input is maximum?
b) what is the quality factor Q?
c) If the system is characterized by k, m and b (spring constant, mass, resistive force -bv), express b in terms of k and m.
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