The free-vibration response of a spring-mass system is observed to have a frequency of 2 rad/s, an amplitude of 10 mm, and a phase shift of 1 rad from t=0. Assuming a damping ratio of 0.1, determine:

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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The free-vibration response of a spring-mass system is observed to have a
frequency of 2 rad/s, an amplitude of 10 mm, and a phase shift of 1 rad
from t=0. Assuming a damping ratio of 0.1, determine:
1- The natural frequency (in rad/s) of the system:
Answer:
2- The initial displacement (in mm) that caused the above free vibration:
Answer:
3- The absolute value of the initial velocity (in mm/s) that caused the
above free vibration:
Answer:
Transcribed Image Text:The free-vibration response of a spring-mass system is observed to have a frequency of 2 rad/s, an amplitude of 10 mm, and a phase shift of 1 rad from t=0. Assuming a damping ratio of 0.1, determine: 1- The natural frequency (in rad/s) of the system: Answer: 2- The initial displacement (in mm) that caused the above free vibration: Answer: 3- The absolute value of the initial velocity (in mm/s) that caused the above free vibration: Answer:
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