2. A 0.25 kg mass is suspended by a spring having a stiffness of 0.1533 N/mm as shown in Figure 1. Figure 1: Undamped single degree-of-freedom system a) Show the natural frequency, wn = E by using the motion equation of më + kx = 0, where x is the displacement of mass, m. b) Determine its natural frequency in cycles per second. c) Determine the damped natural frequency, wa in cycles per second if a damper with damping constant, c = 3.024 N-s/m is attached on the system.

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2. A 0.25 kg mass is suspended by a spring having a stiffness of 0.1533 N/mm as shown in
Figure 1.
k
Figure 1: Undamped single degree-of-freedom system
a) Show the natural frequency, wn =
|m
E by using the motion equation of mä + kx = 0,
where x is the displacement of mass, m.
b) Determine its natural frequency in cycles per second.
c) Determine the damped natural frequency, wa in cycles per second if a damper with
damping constant, c = 3.024 N-s/m is attached on the system.
Transcribed Image Text:2. A 0.25 kg mass is suspended by a spring having a stiffness of 0.1533 N/mm as shown in Figure 1. k Figure 1: Undamped single degree-of-freedom system a) Show the natural frequency, wn = |m E by using the motion equation of mä + kx = 0, where x is the displacement of mass, m. b) Determine its natural frequency in cycles per second. c) Determine the damped natural frequency, wa in cycles per second if a damper with damping constant, c = 3.024 N-s/m is attached on the system.
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