Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m? The slender rod has mass m = 17 kg and length L = 0.6 m. The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.) a) Damped vibration, wn and wd not applicable b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s c) Overdamped, wn = 2.25 rad/s, wd not applicable d) Overdamped, wn
Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m? The slender rod has mass m = 17 kg and length L = 0.6 m. The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.) a) Damped vibration, wn and wd not applicable b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s c) Overdamped, wn = 2.25 rad/s, wd not applicable d) Overdamped, wn
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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Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m? The slender rod has mass m = 17 kg and length L = 0.6 m. The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.)
a) Damped vibration, wn and wd not applicable
b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s
c) Overdamped, wn = 2.25 rad/s, wd not applicable
d) Overdamped, wn = 2.60 rad/s, wd not applicable
e) Underdamped, wn = 2.25 rad/s, wd = 26.55 rad/s
Transcribed Image Text:2
2
1
mL²è+cè+k= 0
12
4
16
니/2
L/4
L/2
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