Two masses m1 and m2 each connected by two springs of stiffness k, are connected by a rigid massless horizontal rod of length l as shown in Fig. 5.22. (a) Derive the equations of motion of the system in terms of the vertical displacement of the C.G. of the system, x(t), and the rotation about the C.G. of the system, θ(t) (b) Find the natural frequencies of vibration of the system for m1=50 kg, m2=200 kg and k = 1000 N/m.
Two masses m1 and m2 each connected by two springs of stiffness k, are connected by a rigid massless horizontal rod of length l as shown in Fig. 5.22. (a) Derive the equations of motion of the system in terms of the vertical displacement of the C.G. of the system, x(t), and the rotation about the C.G. of the system, θ(t) (b) Find the natural frequencies of vibration of the system for m1=50 kg, m2=200 kg and k = 1000 N/m.
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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Two masses m1 and m2 each connected by two springs of stiffness k, are connected by a rigid massless horizontal rod of length l as shown in Fig. 5.22. (a) Derive the equations of motion of the system in terms of the vertical displacement of the C.G. of the system, x(t), and the rotation about the C.G. of the system, θ(t) (b) Find the natural frequencies of vibration of the system for m1=50 kg, m2=200 kg and k = 1000 N/m.
Transcribed Image Text:x(1)
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