I X,Lt) Ţ X₂ (t) ²k₁ = k m₁ = m { K₁=k ww M₂=M { K3=2K THTFILT The spring constants are K₁=k, K₂= 3k, K₂=2k a) find the natural frequencies of vibration. b) Determine the mule shape ratios.

I X,Lt) Ţ X₂ (t) ²k₁ = k m₁ = m { K₁=k ww M₂=M { K3=2K THTFILT The spring constants are K₁=k, K₂= 3k, K₂=2k a) find the natural frequencies of vibration. b) Determine the mule shape ratios.

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 undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

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x.lt)
I
X₂ (t)
www.
²k₁ = k
m₁ =m
į k₂ck
M₂=M
k3=2K
TITT
The spring constants are K₁=k, K₂= 3k, K₂=2k
a) find the natural frequencies of vibration.
b) Determine the mule shape ratios.

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