A linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive
amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient.
Note: Give your answer to 3 decimal places
x (t)
Other Parameters:
Logarithmic Decrement (6):
Answer:
x2
X,
-In1
X2
21 C
8 = In
=5wn Td = 5wn
%3D
Xn+1
a2m
Damping Ratio (5): 5 =
%3D
t [s]
2vkm
Cc
2man
Frequency of damped vibration (wa): wa =
Undamped Forced Vibration:
Fo/k
Frequency Ratio (r): r -
p-xsin wt
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Transcribed Image Text:A linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient. Note: Give your answer to 3 decimal places x (t) Other Parameters: Logarithmic Decrement (6): Answer: x2 X, -In1 X2 21 C 8 = In =5wn Td = 5wn %3D Xn+1 a2m Damping Ratio (5): 5 = %3D t [s] 2vkm Cc 2man Frequency of damped vibration (wa): wa = Undamped Forced Vibration: Fo/k Frequency Ratio (r): r - p-xsin wt Next page ous page Type here to search
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