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1. (6 pts) A damped system is modeled as illustrated in Fig. 1. The mass of the system is 1 kg and the stiffness of the spring is 90,000 N/m. It is observed that during free vibration the amplitude decays from 15 mm to 1 mm in 3 cycles. Calculate the damping ratio, the natural frequency and the damped frequency. ►x(1) m Friction-free surface Fig. 1 Schematic of a single degree of freedom system with viscous damping

1. (6 pts) A damped system is modeled as illustrated in Fig. 1. The mass of the system is 1 kg and the stiffness of the spring is 90,000 N/m. It is observed that during free vibration the amplitude decays from 15 mm to 1 mm in 3 cycles. Calculate the damping ratio, the natural frequency and the damped frequency. ►x(1) m Friction-free surface Fig. 1 Schematic of a single degree of freedom system with viscous damping

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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1. (6 pts) A damped system is modeled as illustrated in Fig. 1. The mass of the system is 1 kg and the stiffness of the spring is 90,000 N/m. It is observed that during free vibration the amplitude decays from 15 mm to 1 mm in 3 cycles. Calculate the damping ratio, the natural frequency and the damped frequency. ►x(1) m Friction-free surface Fig. 1 Schematic of a single degree of freedom system with viscous damping
Transcribed Image Text:1. (6 pts) A damped system is modeled as illustrated in Fig. 1. The mass of the system is 1 kg and the stiffness of the spring is 90,000 N/m. It is observed that during free vibration the amplitude decays from 15 mm to 1 mm in 3 cycles. Calculate the damping ratio, the natural frequency and the damped frequency. ►x(1) m Friction-free surface Fig. 1 Schematic of a single degree of freedom system with viscous damping
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