3.12. The uniform bar shown in Fig. P3.6 has mass m, length 1, and mass moment of inertia I about its mass center. The bar is supported by two springs k1 and k2, as shown in the figure. Obtain the differential equation of motion and determine the natural frequency of the system in the case of small oscillations. k1 b k2 Fig P3 6

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The uniform bar shown in Fig. P3.6 has mass m, length l, and mass moment
of inertia I about its mass center. The bar is supported by two springs k1
and k2, as shown in the figure. Obtain the differential equation of motion and
determine the natural frequency of the system in the case of small oscillations.

kja? + kb? + mg(b — а)/2
1+ m(b — а)2/4
3.12. о
Transcribed Image Text:kja? + kb? + mg(b — а)/2 1+ m(b — а)2/4 3.12. о
3.12. The uniform bar shown in Fig. P3.6 has mass m, length I, and mass moment
of inertia I about its mass center. The bar is supported by two springs k1
and k2, as shown in the figure. Obtain the differential equation of motion and
determine the natural frequency of the system in the case of small oscillations.
k1
k2
Fig. P3.6
Transcribed Image Text:3.12. The uniform bar shown in Fig. P3.6 has mass m, length I, and mass moment of inertia I about its mass center. The bar is supported by two springs k1 and k2, as shown in the figure. Obtain the differential equation of motion and determine the natural frequency of the system in the case of small oscillations. k1 k2 Fig. P3.6
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