A damped harmonic oscillator is characterized by m = 0.2 kg, k = 80 N.m and damping constant b = 0.072 kg/s. How long does it take for the amplitude to decrease to half its original value? What is the period? Angular frequency of oscillation? Damped harmonic bt k b² motion can be expressed as, x = Xme¯2m cos(w't + Ø),w' = m 4m²

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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b. A damped harmonic oscillator is characterized by m = 0.2 kg, k = 80 N.m and damping
0.072 kg/s. How long does it take for the amplitude to decrease to half its
original value? What is the period? Angular frequency of oscillation? Damped harmonic
constant b =
bt
k
b2
motion can be expressed as, x = xme¯2m Cos(w't + Ø),w'
m
4m2
Transcribed Image Text:b. A damped harmonic oscillator is characterized by m = 0.2 kg, k = 80 N.m and damping 0.072 kg/s. How long does it take for the amplitude to decrease to half its original value? What is the period? Angular frequency of oscillation? Damped harmonic constant b = bt k b2 motion can be expressed as, x = xme¯2m Cos(w't + Ø),w' m 4m2
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