The beam shown in Figure 2(a) has a mass of 31 kg, length of 2.6 m and a pivot about point C. A force of 50 N is instantaneously applied to the bar at the point P then removed. The resulting oscillations of the point P are monitored, and the data on acceleration obtained shown in Figure 2(b) where the time scale is calibrated but the acceleration scale is not. 50 N c= ? m = 31 kg -3 0.05 0.1 0.15 0.2 0.25 0.65 m- -1.95 m Time (s) (a) (b) Figure 2: Pivoting beam with acceleration vs time plot Draw the free body diagram of the beam. If the equation of motion of the beam is expressed as: 3c * + 7m 27k x = 0 7m Calculate the spring stiffness k and the damping coefficient c. Represent the damping ratio with the parameter 3.
The beam shown in Figure 2(a) has a mass of 31 kg, length of 2.6 m and a pivot about point C. A force of 50 N is instantaneously applied to the bar at the point P then removed. The resulting oscillations of the point P are monitored, and the data on acceleration obtained shown in Figure 2(b) where the time scale is calibrated but the acceleration scale is not. 50 N c= ? m = 31 kg -3 0.05 0.1 0.15 0.2 0.25 0.65 m- -1.95 m Time (s) (a) (b) Figure 2: Pivoting beam with acceleration vs time plot Draw the free body diagram of the beam. If the equation of motion of the beam is expressed as: 3c * + 7m 27k x = 0 7m Calculate the spring stiffness k and the damping coefficient c. Represent the damping ratio with the parameter 3.
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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