Consider the system in the figure below, which is pivoted at point O. Assume that a = 0.4 m, b = 1 m, M = 10 kg, mass of the rigid bar m = 8 kg, k = 3000 N/m and c = 30 N.s/m. Determine the damped natural frequency of the system in Hz. Take g = 9.81 m/s². The moment of inertia of the bar about the pivot point O is I = m² Note: Assume the mass of the rigid bar is uniformly distrusted. This means the centre of gravity of the rigid bar is located at distant from the pivot point O. //////// umm 70 b 1.33 Hz 0.95 Hz 1.22 Hz 1.09 Hz 0.77 Hz a 0 k wwwww Rigid bar

Consider the system in the figure below, which is pivoted at point O. Assume that a = 0.4 m, b = 1 m, M = 10 kg, mass of the rigid bar m = 8 kg, k = 3000 N/m and c = 30 N.s/m. Determine the damped natural frequency of the system in Hz. Take g = 9.81 m/s². The moment of inertia of the bar about the pivot point O is I = m² Note: Assume the mass of the rigid bar is uniformly distrusted. This means the centre of gravity of the rigid bar is located at distant from the pivot point O. //////// umm 70 b 1.33 Hz 0.95 Hz 1.22 Hz 1.09 Hz 0.77 Hz a 0 k wwwww Rigid bar

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Consider the system in the figure below, which is pivoted at point O. Assume that a = 0.4 m, b = 1 m, M = 10 kg, mass of the rigid bar m = 8 kg. k = 3000 N/m and c = 30
N.s/m. Determine the damped natural frequency of the system in Hz. Take g = 9.81 m/s². The moment of inertia of the bar about the pivot point O is I = ²
Note: Assume the mass of the rigid bar is uniformly distrusted. This means the centre of gravity of the rigid bar is located at distant from the pivot point O.
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Begy
b
1.33 Hz
0.95 Hz
1.22 Hz
1.09 Hz
0.77 Hz
000
a
M
0
k
Rigid bar

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Vibration