Q3. Referring to the steady state motion of the 5 kg mass shown in Figure Q3, calculate i. the equation of motion ii. the amplitude Y the damping condition of the system (state whether underdamped, overdamped or critically damped) and explain the reason. KI=2 Nm! K2= 2 Nm! K3= 2 Nm! m = 5 kg F(t) = 8 sin 3t (in Newtons) Ci=5 Nms! C2=5 Nms! Figure Q3

Q3. Referring to the steady state motion of the 5 kg mass shown in Figure Q3, calculate i. the equation of motion ii. the amplitude Y the damping condition of the system (state whether underdamped, overdamped or critically damped) and explain the reason. KI=2 Nm! K2= 2 Nm! K3= 2 Nm! m = 5 kg F(t) = 8 sin 3t (in Newtons) Ci=5 Nms! C2=5 Nms! Figure Q3

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

Q3.
Referring to the steady state motion of the 5 kg mass shown in Figure Q3, calculate
i. the equation of motion
ii. the amplitude Y
111.
the damping condition of the system (state whether underdamped,
overdamped or critically damped) and explain the reason.
K1 =2 Nm!
K2= 2 Nm!
K3= 2 Nm!
m = 5 kg
F(1) = 8 sin 3t
(in Newtons)
Ci=5 Nms!
C2=5 Nms!
Figure Q3
4-

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