(a) A mass, m of 2 0 kg consider one vertical motion only with angular displacement, 0 = wt, with spring coefficient, k of 13 kN/m as shown in Figure Q1. If the system oscillates at free motion y = Y sin(@nt) with amplitude, Y of 13 mm: (i) Determine the natural frequency of the system, w„. (ii) Solve the time taken to complete one cycle of motion. (iii) Analyze the velocity of the mass, ỷ at position A.
(a) A mass, m of 2 0 kg consider one vertical motion only with angular displacement, 0 = wt, with spring coefficient, k of 13 kN/m as shown in Figure Q1. If the system oscillates at free motion y = Y sin(@nt) with amplitude, Y of 13 mm: (i) Determine the natural frequency of the system, w„. (ii) Solve the time taken to complete one cycle of motion. (iii) Analyze the velocity of the mass, ỷ at position A.
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
Related questions
Question
![k
Ay
m
Y
Y - 4
B
0 =ot
Figure Q1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F356fd97b-db99-462b-bc03-769921ff4fdd%2F9f4d7731-3413-4b8e-8a8e-d89907bf2340%2Fj31ww4f_processed.png&w=3840&q=75)
Transcribed Image Text:k
Ay
m
Y
Y - 4
B
0 =ot
Figure Q1
![A mass, m of 20 kg consider one vertical motion only with angular displacement, 0 =
wt, with spring coefficient, k of 13 kN/m as shown in Figure Q1. If the system
oscillates at free motion y = Y sin(@nt) with amplitude, Y of 13 mm:
(a)
(i)
Determine the natural frequency of the system, o,.
(ii)
Solve the time taken to complete one cycle of motion.
(iii) Analyze the velocity of the mass, ý at position A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F356fd97b-db99-462b-bc03-769921ff4fdd%2F9f4d7731-3413-4b8e-8a8e-d89907bf2340%2Fvx36rbn_processed.png&w=3840&q=75)
Transcribed Image Text:A mass, m of 20 kg consider one vertical motion only with angular displacement, 0 =
wt, with spring coefficient, k of 13 kN/m as shown in Figure Q1. If the system
oscillates at free motion y = Y sin(@nt) with amplitude, Y of 13 mm:
(a)
(i)
Determine the natural frequency of the system, o,.
(ii)
Solve the time taken to complete one cycle of motion.
(iii) Analyze the velocity of the mass, ý at position A.
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