The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to a times its original magnitude, where a equals.
Jayant Kumar , 11 Years ago
Grade 11
2 Answers
Saurabh Koranglekar
Last Activity: 5 Years ago
Vikas TU
Last Activity: 5 Years ago
Amplitude of damped oscillation a=a0e^(−bt/2m) As, a=0.90a0,t=5s, so 0.9a0=a0e^(−bt/2m) or 0.9=e^(−5b/2m) …(i) When t=5+10=15s,a=xa0, then xa0=a0e^(−b×15/2m) or x=[e^(−5b/2m)]^3 = (0.9)3=0.729
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