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H Chapur Lampad Sumarle Harmonic Marion (Impie 2) Question 1 Many oscillatory systems show an exponential decrease in their stored average energy with time as E = E.e-r. A Q for such oscillatory may be defined using the definition Q where wo is the natural angular frequency. (a) When the note "middle C" on the piano is struck, its energy of oscillation decreases to one-half its value in about 1 sec. The frequency of middle C is 256 Hz. What is the of the system? (b) If the note an octave higher (512 Hz) takes about the same time for its energy to decay, what is its Q? (c) A free, damped harmonic oscillator, consisting of a mass m = 0.1 kg moving in viscous liquid of damped coefficient (Fviscous = |-bů), and attached to a spring of a spring constant s = 0.9 Nm is observed as it performs bë -t oscillatory motion. Its average energy decays to 1% of its initial value in 4 sec. What is the O of the oscillator? (d) What is the value of 6?