For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and equivalent damping coefficient when x (the displacement of the 2 kg block) is used as the generalized coordinate. b- Derive the equation of motion of the system in terms of equivalent system parameters (equivalent mass, equivalent spring stiffness and equivalent damping coefficient). 3000 N/m مد ادم 2 kg In /=0,04 kg-m r = 10 cm 200 1000 N.s/m N/m 1 kg 400 N.s/m

For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and equivalent damping coefficient when x (the displacement of the 2 kg block) is used as the generalized coordinate. b- Derive the equation of motion of the system in terms of equivalent system parameters (equivalent mass, equivalent spring stiffness and equivalent damping coefficient). 3000 N/m مد ادم 2 kg In /=0,04 kg-m r = 10 cm 200 1000 N.s/m N/m 1 kg 400 N.s/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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

For the mechanical system shown,
a- Find the equivalent mass, equivalent
spring stiffness and equivalent damping
coefficient when x (the displacement of
the 2 kg block) is used as the generalized
coordinate.
b- Derive the equation of motion of the
system in terms of equivalent system
parameters (equivalent mass, equivalent
spring stiffness and equivalent damping
coefficient).
3000
N/m
2 kg
200
N.s/m
/=0.04 kg-m²
r = 10 cm
1000
N/m
1 kg
I'
400
N.s/m
ial

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