Consider the system in Figure 1-a, which is initially at equilibrium. The massless bar AOB with point mass m = 2 kg attached to B rotates with rotational viscous damping coefficient b about the fixed point O. The system is connected by a horizontal spring (acting at B) to a fixed wall. The rotating bar has a length 3L=1.5 meters. L 2L k 17 win A Rotational viscous damping coefficient b B g Massless

Consider the system in Figure 1-a, which is initially at equilibrium. The massless bar AOB with point mass m = 2 kg attached to B rotates with rotational viscous damping coefficient b about the fixed point O. The system is connected by a horizontal spring (acting at B) to a fixed wall. The rotating bar has a length 3L=1.5 meters. L 2L k 17 win A Rotational viscous damping coefficient b B g Massless

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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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

Consider the system in Figure 1-a, which is initially at equilibrium. The massless bar AOB with point mass
m = 2 kg attached to B rotates with rotational viscous damping coefficient b about the fixed point
system is connected by a horizontal spring (acting at B) to a fixed wall. The rotating bar has a length 3L=1.5
meters.
L
2L
k
twine
ww
Figure 1-a
A
Rotational viscous
damping coefficient b
B
g
Massless
a) Write the linearized equation of motion of the system (Figure 1-a) for small angular displacement 0 (t).
(Symbolic)

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