3.9. The system shown in Fig. P3.3 consists of a uniform rod which has length 1, mass m, and mass moment of inertia about its mass center 1. The rod is supported by two springs which have stiffness coefficients kı and k2, as shown in the figure. Determine the system differential equation of motion for small oscillations. Determine also the system natural frequency. 1/2 ki k2
3.9. The system shown in Fig. P3.3 consists of a uniform rod which has length 1, mass m, and mass moment of inertia about its mass center 1. The rod is supported by two springs which have stiffness coefficients kı and k2, as shown in the figure. Determine the system differential equation of motion for small oscillations. Determine also the system natural frequency. 1/2 ki k2
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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Answer for frequency is given below.

Transcribed Image Text:3.9. The system shown in Fig. P3.3 consists of a uniform rod which has length
1, mass m, and mass moment of inertia about its mass center I. The rod is
supported by two springs which have stiffness coefficients k and k2, as shown
in the figure. Determine the system differential equation of motion for small
oscillations. Determine also the system natural frequency.
1/2
k1
k2
Fig. P3.3

Transcribed Image Text:|kıl²/4+ k2l² + mgl/2
I+ ml²/4
3.9. w =
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