The mass of a single degree of freedom damped vibrating system is 75 kg and vertically attached to the spring of a stiffness 10.5 kN/m as shown in Figure 2. The damping coefficient of the system is 600 Ns/m and the system is excited by a force: F=700sin25t in Newtons and t-is the time in seconds 2.1 Calculate the natural frequency of the system in rad/s  2.2. Calculate the periodic time of the system if at free vibrating mode and that of  exciting force. 2.3. Using the damping ratio criteria, state the damping type of the system.

Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
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Chapter46: Suspension Systems
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The mass of a single degree of freedom damped vibrating system is 75 kg and vertically attached to the spring of a stiffness 10.5 kN/m as shown in Figure 2. The damping coefficient of the system is 600 Ns/m and the system is excited by a force:

F=700sin25t in Newtons and t-is the time in seconds

2.1 Calculate the natural frequency of the system in rad/s 

2.2. Calculate the periodic time of the system if at free vibrating mode and that of 
exciting force.
2.3. Using the damping ratio criteria, state the damping type of the system. (5)

k
m
Figure 2: One degree of freedom damped vibrating system
Transcribed Image Text:k m Figure 2: One degree of freedom damped vibrating system
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