1. Find the natural frequencies and mode shapes of the system shown in Figure 1below for m, = 1000kg m, = 5000 kg. Given k, =3.09 x106 N/m, k2 = 3x 105 N/m.Base4(4)Figure 1

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nd the natural frequencies and mode shapes of the system shown in Figure v for m, = 1000kg mą = 5000 kg. Given k, =3.09 x106 N/m, k2 = 3x 105 N/i %3! %3D %3!

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.

Question

1. Find the natural frequencies and mode shapes of the system shown in Figure 1
below for m, = 1000kg m, = 5000 kg. Given k, =3.09 x106 N/m, k2 = 3x 105 N/m.
Base
4(4)
Figure 1

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