A linear harmonic oscillator having a mass of 5.4kg is set into motion with viscous damping. if the frequency is 7Hz and if two successiveamplitudes 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 placesOther Parameters:x (t)Logarithmic Decrement (6):Answer:x22nC2n C2T8 = In1 = In1 = 5 wnTd = 5 wn%3DX3X2Xn+1uz PmDamping Ratio (5): 5 =%3Dt [s](2T)2+8Cc2vkm2mwnWnFrequency of damped vibration (wa): wa =Undamped Forced Vibration:Fo/kx sin otFrequency Ratio (r): r =Next pagejous pageE//learnonline.gmit.ie/mod/quiz/attempt.php?attempt3D167036&cmid%3D155306&page%3D2...P Type here to search3| 5

Write the mass of the linear harmonic oscillator. m=5.4 kg Write the values of two successive…

A linear harmonic oscillator having a mass of 5.4kg is set into motion with viscous damping. if the frequency is 7Hz 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: 8 = In= In 1 = 5wnTa = 5 wn 2n 2n c %3D Xn+1 wa 2m t [s] Damping Ratio (5): % = Ce %3D 2vkm 2man V(2m) +8 Frequency of damped vibration (wa): wa - Undamped Forced Vibration: Frequency Ratio (r): r- Xp - x sin wt

A linear harmonic oscillator having a mass of 5.4kg is set into motion with viscous damping. if the frequency is 7Hz 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: 8 = In= In 1 = 5wnTa = 5 wn 2n 2n c %3D Xn+1 wa 2m t [s] Damping Ratio (5): % = Ce %3D 2vkm 2man V(2m) +8 Frequency of damped vibration (wa): wa - Undamped Forced Vibration: Frequency Ratio (r): r- Xp - x sin wt

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

A linear harmonic oscillator having a mass of 5.4kg is set into motion with viscous damping. if the frequency is 7Hz 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
Other Parameters:
x (t)
Logarithmic Decrement (6):
Answer:
x2
2nC
2n C
2T
8 = In1 = In1 = 5 wnTd = 5 wn
%3D
X3
X2
Xn+1
uz Pm
Damping Ratio (5): 5 =
%3D
t [s]
(2T)2+8
Cc
2vkm
2mwn
Wn
Frequency of damped vibration (wa): wa =
Undamped Forced Vibration:
Fo/k
x sin ot
Frequency Ratio (r): r =
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P Type here to search
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