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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 1. Calculate the periodic time of the system if at free vibrating mode and that of  exciting force. 2. Calculate the amplitude and phase angle of the resulting oscillating motion of the system 3.Assuming that the system is critically damped (damping factor =1), calculate the   amplitude and phase angle of the new vibrating system.

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 1. Calculate the periodic time of the system if at free vibrating mode and that of  exciting force. 2. Calculate the amplitude and phase angle of the resulting oscillating motion of the system 3.Assuming that the system is critically damped (damping factor =1), calculate the   amplitude and phase angle of the new vibrating system.

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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

1. Calculate the periodic time of the system if at free vibrating mode and that of 
exciting force.

2. Calculate the amplitude and phase angle of the resulting oscillating motion of the system

3.Assuming that the system is critically damped (damping factor =1), calculate the  
amplitude and phase angle of the new vibrating system.

 

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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