The spring-damper-mass system shown in Figure Q3(c) is at rest when strict bya hammer with an initial velocity of 0.4 m/s causing the mass to move upwards.Given that the mass m =2 kg, spring constant k = 128 N/m and coefficient of0.6 Ns/m.viscous damping c =(i)Determine the damped frequency of the spring-damper-mass system.Base on the given conditions derived in Q3(c)(i) and parameters givenabove, describe how you would derive the equation of motion ofdamped-free vibration.(ii) k = 128 N/mc = 0.6 N. s/m2 kgFigure Q3(c)ww

Given Mass, m =2 kg Stiffness, k = 128 N/m c = 0.5 Ns/m

The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards 2 kg, spring constant k Given that the mass m = 128 N/m and coefficient of viscous damping c = 0.6 Ns/m. (i) Determine the damped frequency of the spring-damper-mass system Base on the given conditions derived in Q3(c)(i) and parameters giver above, describe how you would derive the equation of motion of (ii) damned-free vibration

The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards 2 kg, spring constant k Given that the mass m = 128 N/m and coefficient of viscous damping c = 0.6 Ns/m. (i) Determine the damped frequency of the spring-damper-mass system Base on the given conditions derived in Q3(c)(i) and parameters giver above, describe how you would derive the equation of motion of (ii) damned-free vibration

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

The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by
a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards.
Given that the mass m =
2 kg, spring constant k = 128 N/m and coefficient of
0.6 Ns/m.
viscous damping c =
(i)
Determine the damped frequency of the spring-damper-mass system.
Base on the given conditions derived in Q3(c)(i) and parameters given
above, describe how you would derive the equation of motion of
damped-free vibration.
(ii)

k = 128 N/m
c = 0.6 N. s/m
2 kg
Figure Q3(c)
ww

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