A spring-mass system has a mass of 5 kg and stiffness of 200 N/m and is subjected to a harmonic force as follows: F(t) = 100 cos 30t N Find the total response of the system when the initial displacement is 0.1 m and the initial velocity is 0.1 m/s.

A spring-mass system has a mass of 5 kg and stiffness of 200 N/m and is subjected to a harmonic force as follows: F(t) = 100 cos 30t N Find the total response of the system when the initial displacement is 0.1 m and the initial velocity is 0.1 m/s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

A spring-mass system has a mass of 5 kg and stiffness of 200 N/m and is subjected to a harmonic
force as follows:
F(t)= 100 cos 30t N
Find the total response of the system when the initial displacement is 0.1 m and the initial velocity
is 0.1 m/s.

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