3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G. not coinciding with its geometric centre (m= 1000kg, ₁ = 1m; /2 = 1.5m ), and supported by two springs, k = k = 20kN/m, as shown in Figure Q1 (a) Describe the system in term of degree of freedoms (b) Draw the free body diagram for the system to derive the equations of the vibration motion (c) Determine the mass matrix and stiffness matrix of the system. (d) Determine the nature frequencies of the system Bounce C.G. Pitch ₁2 Figure Q1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G.
not coinciding with its geometric centre (m= 1000kg, 11m; /2 = 1.5m ), and supported
by two springs, k = kx=20kN/m, as shown in Figure Q1
(a) Describe the system in term of degree of freedoms
(b) Draw the free body diagram for the system to derive the equations of the vibration
motion
(c) Determine the mass matrix and stiffness matrix of the system.
(d) Determine the nature frequencies of the system
Bounce
C.G.
Pitch
-1/2-
Figure Q1
Transcribed Image Text:3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G. not coinciding with its geometric centre (m= 1000kg, 11m; /2 = 1.5m ), and supported by two springs, k = kx=20kN/m, as shown in Figure Q1 (a) Describe the system in term of degree of freedoms (b) Draw the free body diagram for the system to derive the equations of the vibration motion (c) Determine the mass matrix and stiffness matrix of the system. (d) Determine the nature frequencies of the system Bounce C.G. Pitch -1/2- Figure Q1
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